miguel a. goberna - Universidad de Alicante

miguel a. goberna - Universidad de Alicante

CURRICULUM VITAE
MIGUEL A. GOBERNA
December 2010
Personal Data
Name:
Tel.:
Fax:
e -mail:
MIGUEL ANGEL GOBERNA TORRENT
+34-(9)6-5903533
+34-(9)6-5903667
[email protected]
Academic degrees
Graduate in Mathematical Sciencies, University of Valencia, 20/11/1972
Doctor in Mathematical Sciences, University of Valencia, 14/11/79
Fields of interest
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Semi-Infinite Programming
Stability in Optimization
Convex Analysis
Linear inequalities
Mathematical Education
Professional experience
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Lecturer at the Faculty of Economics, University of Valencia, giving courses on
Mathematical Economics, 1972-1975.
Lecturer at the Faculty of Economics, Open University, giving courses on
Mathematical Economics, 1975-1983.
Assistant Professor at the Faculty of Sciences, University of Alicante, giving courses on
Calculus, Statistics and Mathematical Programming, 1983-1990.
Professor at the Faculty of Sciences, 1990-, University of Alicante, giving courses on
Mathematical Programming, Convex Analysis, Operations Research, Data Analysis,
Calculus, and Statistical Quality Control.
Visited at the following universities and research centers
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Sheffield City Polytechnique (Sheffield, U.K.), 1 month, 1989.
Judge Institute of Management Studies (Cambridge, U.K.), 1 month, 1995.
Universität Trier (Trier, German), 2 weeks, 1995.
Universidad Nacional de Cuyo (Mendoza, Argentina) and Universidad Nacional de San
Luis (San Luis, Argentina), 1 month, 1998.
National Cheng Kung University (Tainan, Taiwan), 2 weeks, 1998.
Universidad Nacional de San Luis (San Luis, Argentina), 2 weeks, 2000.
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Benemérita Universidad Autónoma de Puebla (Puebla, Mexico), and Universidad de las
Américas (Cholula, Mexico), 2 weeks, 2001.
• Universidad Nacional de Cuyo (Mendoza, Argentina), 1 month, 2001.
• Benemérita Universidad Autónoma de Puebla (Puebla, Mexico), 2 weeks, 2002.
• Universitá Grabiele d’Annunzio (Pescara, Italia), 1 week, 2002.
• Universidad Nacional de Cuyo (Mendoza, Argentina), 2 weeks, 2003.
• Centro de Modelamiento Matemático, Universidad de Chile (Santiago, Chile), 1 month,
2003.
• University New South Wales, Sydney (Australia), 1 month, 2003.
• Benemérita Universidad Autónoma de Puebla (Puebla, Mexico), 6 weeks, 2004.
• Universidad Nacional de Cuyo (Mendoza, Argentina), 3 weeks, 2004.
• Centro de Modelamiento Matemático (CMM, Santiago, Chile), 1 week, 2004.
• Benemérita Universidad Autónoma de Puebla (BUAP), 1 month, 2005.
• Bulgarian Academy of Sciences (Borovets and Plodviv, Bulgaria), 2 weeks, 2005.
• Instituto de Matemáticas y Ciencias Afines (IMCA, Lima, Perú), 2 weeks, 2005.
• Instituto de Ciencias Básicas de la Universidad Nacional de Cuyo (Mendoza,
Argentina), 1 month, 2005.
• Centro de Investigación en Física y Matemática Aplicada (CIFMA), Universidad de las
Américas (Cholula, Puebla, Mexico), 1 month, 2006.
• Centro de Modelamiento Matemático (CMM, Santiago, Chile), 3 weeks, 2006.
• Instituto de Ciencias Básicas de la Universidad Nacional de Cuyo (Mendoza,
Argentina), 1 week, 2006.
• Centro de Investigación en Física y Matemática Aplicada (CIFMA), Universidad de las
Américas (Cholula, Puebla, Mexico), 1 month, 2007.
• School of Mathematics, University of Birmingham (Birmingham, GB), 1 week, 2007.
• National Center for Theoretical Sciences in National Cheng Kung University (Tainan,
Taiwan), 1 week, 2007.
• Centro de Investigación en Física y Matemática Aplicada de la Universidad de las
Américas en Cholula (Puebla, México), 2 weeks, 2008.
• Instituto de Ciencias Básicas de la Universidad Nacional de Cuyo (Mendoza,
Argentina), 1 month, 2008.
• Universidad Autónoma de Barcelona, 1 week, 2008.
• Centro de Investigación en Física y Matemática Aplicada de la Universidad de las
Américas en Cholula (Puebla, México), 3 weeks, 2009.
• Academy of Sciences (Sofia, Bulgaria), 1 week, 2010.
• Instituto de Ciencias Básicas de la Universidad Nacional de Cuyo (Mendoza,
Argentina), 3 weeks, 2010.
Reviwer for:
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SIAM Journal on Optimization.
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Mathematical Programming.
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Journal of Optimization Theory and Applications.
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Journal of Global Optimization.
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Optimization Methods and Software.
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Optimization.
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Annals of Operations Research.
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European Journal of Operational Research.
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Journal of Mathematical Analysis and Applications.
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Linear Algebra and Applications.
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Positivity.
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Mathematica Japonica.
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Contributions to Algebra and Geometry.
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Mathematical Methods of Operations Research.
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Optimization Letters.
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Central European Journal of Operations Research.
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Pacific Journal of Optimization.
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Information Sciences.
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Applied Mathematical Modelling.
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Journal of Industrial and Management Optimization.
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Zentralblatt Math.
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Newsletter of EMIS (European Mathematical Information Service).
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International Science Foundation.
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European Scientific Program for Training and Mobility of Researchers (EU).
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Comisión Nacional Evaluadora (Spain).
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Agencia Nacional de Evaluación y Prospectiva (Spain).
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Comisión Interministerial de Ciencia y Tecnología (Spain).
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Plan Nacional de Evaluación de la Calidad de las Universidades (Spain).
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Fundaçao para a Ciencia e a Tecnología (Portugal).
Citations
303 citations by 103 authors (source: MathScinet).
Research projects
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The Mathematical Background of the University Students. Supported by Comisión
Asesora Nacional de Investigación Científica y Técnica. Leadership: M. Valdivia,
1981 - 1983.
Mathematical Education and New Technologies. Supported by Programas de
Desarrollo de la Investigación e Innovación Educativa. Leadership: J.T. Pastor,
1982 - 1983.
A Model for the University Entrance. Supported by Consellería de Cultura,
Educación y Ciencia de la Generalitat Valenciana. Leadership: M.A. Lopez, 1985.
Mathematical Programming with Infinitely Many Constraints: Theoretical Basis and
Analysis of its Applications. Supported by Comisión Asesora Nacional de
Investigación Científica y Técnica. Leadership: M.A. López, 1985 - 1987.
Linear Semi-Infinite Programming and Applications. Supported by Fundación Angel
García Rogel. Leadership: M.A. Goberna, 1985-1986.
University of Alicante: Planning Guidelines. Supported by Diputación Provincial de
Alicante. Leadership: M.A. López, 1985 - 1987.
Public Services and their Influence in the Demographic Changes. Supported by
Diputación Provincial de Alicante. Leadership: M.A. López, 1986.
Prospective for the Evolution of Alicante City until the Year. 2020 Supported by
Ayuntamiento de Alicante. Leadership: M.A. López, 1986.
Performance Analysis of a Bank Branches Network: an Application to the Optimal
Location of New Branches. Supported by Caja de Ahorros de Alicante y Murcia.
Leadership: M.A. López, 1987.
Performance Analysis and Remodelling of a Bank Branches Network. Supported by
Caja de Ahorros y M.P. de Segorbe. Leadership: M.A. López, 1988.
Planning Guidelines for the Introduction of Computation Sciences in Secondary
Schools. Supported by Consellería de Educación de la Generalitat Valenciana.
Leadership : J. Pastor, 1988.
The University as Services Supplier for the Alicante Industry. Supported by
Fundación Angel García Rogel. Leadership: M.A. López.
Dual Algorithms in Linear Semi-Infinite Programming. Supported by Dirección
General de Investigación Científica y Técnica. Leadership: M.A. López, 1988 1990.
Dual Methods in Semi-Infinite Programming: Theoretical Foundation and
Convergence. Supported by Institució Valenciana D’Estudis i Investigació.
Leadership: M.A. López, 1988 - 1990.
Generalized Linear Programming: Structural Properties. Supported by Dirección
General de Investigación Científica y Técnica. Leadership: M.A. Goberna, 1991 1992.
Dual and Descent Methods and Stability Theory for Linear Semi-Infinite
programming. Supported by Institució Valenciana D' Estudis i Investigació.
Leadership: M.A. Goberna, 1994 - 1995.
Linear Semi-Infinite Programming: Numerical Methods and Sensivity Analysis.
Supported by Dirección General de Investigación Científica y Técnica. Leadership:
M.A. López, 1994 - 1995.
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Parametric Linear Optimization with Infinitely Many Constraints. Supported by
Generalitat Valenciana. Leadership: M.A. Goberna, 1995 - 1996.
Linear Models with an Infinite Number of Constraints: Inequalities systems and
Optimization Problems. Supported by Dirección General de Investigación Científica
y Técnica. Leadership: M.A. López, 1995 - 1996.
Duality and Numerical Methods in Linear Semi-Infinite Optimization. Supported by
Dirección General de Enseñanza Superior. Leadership: M.A. Goberna, 1997 - 1998.
Stability, Optimality and redundancy phenomena in semi-infinite programming.
Supported by Dirección General de Enseñanza Superior. Leadership: M.A. López,
2000-2002.
Semi-infinite optimization and systems: geometry and stability Supported by
Ministerio de Ciencia y Tecnología. Leadership: M.A. Goberna, 2003-2005.
Convex analysis and stability in optimization, Supported by Ministerio de Ciencia y
Tecnología. Leadership: M.A. López, 2006-2008.
Advances in convex optimization and variationalanalysis: fundamentals and
applications, Supported by Ministerio de Ciencia y Tecnología. Leadership:
M.A.Goberna, 2009-2011.
International Conferences
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Communications
IX SMP (International Symposium on Mathematical Programming), BUDAPEST
(HUNGARY), 1976.
IV EURO (European Conference on Operational Research), CAMBRIDGE (UK),
1980.
International Symposium on Semi-Infinite Programming and Applications, AUSTIN
(TEXAS, USA), 1981.
Journées Fermat (Mathematiques pour L'Optimization), TOULOUSE (FRANCE),
1985.
Internationale Tagung - Mathematische Optimierung Theorie und Anwendungen,
EISENACH (GDR), 1986.
XI International Conference on Operational Research (IFORS), BUENOS AIRES
(ARGENTINA), 1987.
XI EURO, AACHEN (RFA), 1991.
EURO XII / TIMSXXXI, HELSINKI (FINLAND), 1992.
IFORS’ 93: XIII World Conference on Operations Research, LISBOA (PORTUGAL),
1993.
Workshop on Well-Posedness and Stability in Optimization Problems, SOZOPOL
(BULGARIA), 1993.
Catalan Days on Applied Mathematics, GERONA (SPAIN), 1994.
Workshop on Well-Posedness and Stability in Optimization, MARSEILLE (FRANCE),
1995.
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IV International Conference on Parametric Optimization and Related Topics,
ENSCHEDE (HOLLAND).
• II Catalan Days on Applied Mathematics, FONT ROMEU (FRANCE), 1995.
• International Wokshop on Semi-Infinte Programming, COTTBUS (GERMANY), 1996.
• URO XXV / INFORMS XXXIV, BARCELONA (SPAIN), 1997.
• XVI SMP, LAUSANNE (SWITZERLAND), 1997.
• XX MPDP, WASHINGTON DC (USA), 1998.
• IX CLAIO, BUENOS AIRES (ARGENTINA), 1998.
• XLVIII UMA, BARILOCHE (ARGENTINA), 1998.
• International Conference on Nonlinear and Variational Inequalities, HONG KONG
(CHINA), 1998.
• VII Workshop on Well-posedness in Optimization and Related Topics, GARGNANO
(ITALY), 1999.
• EURO XVII, BUDAPEST (HUNGRÍA), 2000.
• L Reunión Anual de la UMA (Unión Matemática Argentina), ROSARIO
(ARGENTINA), 2000.
• VI International Conference on Approximation and Optimizationin the Caribbean,
GUATEMALA CITY (GUATEMALA), 2001.
• XXIV Workshop on Optimization and Control with Applications, ERICE (ITALY),
2001.
• LI Reunión Anual de la UMA (Unión Matemática Argentina), SAN LUIS
(ARGENTINA), 2001.
• VII International Conference on Parametric Optimization and Related Topics,
PUEBLA (MEXICO), 2002.
• III Internationl Meeting on Approximation Theory, ÚBEDA (SPAIN), 2002.
• IX Workshop on Well-posedness in Optimization and Related Topics, MARSELLALUMINY (FRANCE), 2003.
• XXXII Jornadas Argentinas de informática e Investigación Opeartiva (JAIIO),
BUENOS AIRES (ARGENTINA), 2003.
• LIII Reunión Anual de la UMA (Unión Matemática Argentina), RÍO CUARTO
ARGENTINA), 2003.
• VI Seminario Internacional de Optimización y Áreas Afines, LIMA (PERU), 2003.
• Workshop on Continuous Optimization and Optimal Control with Applications,
MELBURNE (AUSTRALIA), 2003.
• Workshop on Challenges of Continuous Optimization in Theory and Applications,
RHODES (GREECE), 2004.
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EURO XX, RHODES (GREECE), 2004.
• X Workshop on Well-posedness in Optimization and Related Topics, BOROVETS
(BULGARIA), 2005.
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VII Seminario Internacional de Optimización y Áreas Afines, LIMA (PERU), 2005.
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VIII International Conference on Parametric Optimization and Related Topics, CAIRO
(EGYPT), 2005.
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Workshop on Advances in Continuous Optimization in Theory and Applications,
REYKJAVIK (ICELAND), 2006.
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EURO XXI, REYKJAVIK (ICELAND), 2006.
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XIX International Symposium on Mathematical Programming (ISPM), RIO DE
JANEIRO (BRASIL), 2006.
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Iberian Conference on Optimization, COIMBRA (PORTUGAL), 2006.
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VIII US-Mexico Workshop on Optimization and its Applications, HUATULCO
(MEXICO), 2007.
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VI Europt Workshop on Advances in Continuous Optimization in Theory and
Applications – II Conference on Optimization Methods & Software, PRAGA (CZECH
REP.), 2007.
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II International Conference on Optimization and Optimal Control, ULAANBAATAR
(MONGOLIA), 2007.
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VII7International Conference on Optimization: Techniques and Applications, KOBE
(JAPAN), 2007.
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IX International Conference on Approximation and Optimization in the Caribbean
(APPOPT), SAN ANDRÉS (COLOMBIA), 2008.
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VII Europt Workshop on Advances in Continuous Optimization, REMAGEN
(GERMANY), 2009.
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EURO XXIII, BONN (GERMANY), 2009.
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XII Workshop on Well-posedness in Optimization and Related Topics, LEVICO
TERME (ITALY), 2009.
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IV Simposium Internacional de Aproximación y Temas Afines, PUEBLA-CHOLULA
(MÉXICO), 2009.
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Workshop on Functional Analysis and Optimization, SEVILLA (SPAIN), 2010.
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International Functional Analysis Meeting, VALENCIA (SPAIN), 2010.
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IV Workshop on Optimization and Variational Analysis, ELCHE (SPAIN), 2010.
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VIII Europt Workshop on Advances in Continuous Optimization, AVEIRO
(PORTUGAL), 2010.
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X International Conference on Parametric Optimization and Related Topics,
KARLSRUHE (GERMANY), 2010.
II. Organization
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Organizer of one session on Semi-Infinite Programming in the IFORS’ 93:
XIII World Conference on Operations Research, LISBOA (PORTUGAL),
1993.
Co-organizer of the Mini-Symposium on Semi-Infinite Programming (in the
IV International Conference on Parametric Optimization and Related
Topics), ENSCHEDE (HOLLAND), 1995.
I Conference on Mathematical Models and Methods in Biology and
Medicine (Scientific Committee), ALICANTE (SPAIN), 1997.
Semi-Infinite Programming in the XVI SMP (organizer of sessions),
LAUSANNE (SWITZERLAND), 1997.
Workshop on Semi-Infinite Programming and Related Topics (Executive
Committee), ALICANTE (SPAIN), 1999.
EURO XVI (organizer of sessions)I, BUDAPEST (HUNGARY), 2000.
Co-organizer of the Mini-Symposium on Semi-Infinite Programming
(within the VII International Conference on Parametric Optimization and
Related Topics), PUEBLA (MEXICO), 2002.
EURO XX (organizer of sessions), RODHES (GREECE), 2004.
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European Summer Institute ESI XXII (Scientific Committee), ANKARA
(TURKEY), 2004.
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Workshop on Semi-Infinite Programming (Program Committee), TAINAN
(TAIWAN), 2005.
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VII International Conference on Parametric Optimization and Related
Topics (Program Committee), EL CAIRO (EGIPTO), 2005.
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EUROPT workshop (Program Committee), REYKJAVIK (ISLANDIA),
2006.
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EURO XXI (organizer of sessions), REYKJAVIK (ISLANDIA), 2006.
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XI Workshop on Well-posedness in Optimization and Related Topics
(Scientific Committee), ALICANTE, 2007.
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IX International Conference on Parametric Optimization and Related Topics
(Program Committee), SAN ANDRÉS (COLOMBIA), 2008.
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EUROPT workshop on Advances in Continuous Optimization (Program
Committee), NERINGA (LITHUANIA), 2008.
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IWOR (Int. Workshop on Operations Research) in Honour of L.F. Escudero
(miembro del Comité Científico), MÓSTOLES, 2008.
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EURO XXIII (organizer of sessions), BONN (ALEMANIA), 2009.
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VIII Europt Workshop on Advances in Continuous Optimization (organizer
of sessions), AVEIRO (PORTUGAL), 2010.
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IX International Conference on Parametric Optimization and Related Topics
(Program Committee), KARLSRUHE (GERMANY), 2010.
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Structured Optimization: Recent Advances in Theory and Applications
(Scientific Committee), BARCELONA, 2010.
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XIII Workshop on Well-posedness in Optimization and Related Topics
(Scientific Committee), BOROVETS (BULGARIA), 2011.
PUBLICATION LIST
Publications in English
MONOGRAPHS
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Linear Semi-Infinite Optimization, J. Wiley, 1998 (with M.A. López).
Semi-Infinite Programming: Recent advances, Kluwer, 2001 (Editor, with M.A.
López).
Linear Semi-Infinite Programming: A Guided Tour, IMCA Monoghaphs No. 40,
IMCA, Lima (Perú), 2005
CHAPTERS IN BOOKS
• Conditions for the closedness of the characteristic cone associated to an infinite
linear system, in Infinite Programming (E.J. Anderson and A.B. Philpott, eds.),
Springer Verlag pp. 16-28, 1985 (with M.A. López).
• On the simplex methods in linear semi-infinite programming, in Internationale
Tagung Mathematische Optimierung (K.H. Elster, ed.), Technische Hochschule
Ilmenau (G.D.R.), pp 62-65, 1986 (with M.A. López).
• Some results on discretization and pivoting methods for linear semi-infinite
programming, in Operational Research’88 (G.K. Rand, ed.), North-Holland, pp.
875-881, 1988 (with M.A. López).
• A review of semi-infinite linear inequality systems, in Proceedings. of the 2nd
Catalan Days on Applied Mathematics (M. Sofonea and J.N. Corvellec, eds.),
Presses Universitaires de Perpignan, pp. 127-137, 1995 (with M.A. López).
• A comprehensive survey of linear semi-infinite optimization, in Semi-Infinte
Programming (R. Reemtsen and J. Rückmann, eds.), Kluwer, pp. 3-27, 1998 (with
M.A. López).
• Separation by hyperplanes: a linear semi-infinite programming approach, in SemiInfinite Programming: Recent Advances, (M.A. Goberna and M.A. López, eds.),
Kluwer, pp. 255-269, 2001 (with M.A. López and S.Y. Wu).
• Linear semi-infinite optimization: recent advances, in Continuous Optimization:
Current
Trends and Applications (A. Rubinov y V. Jeyakumar, eds.), SpringerVerlag, pp. 3-22, 2005.
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Post-optimal analysis of linear semi-infinite programs, in Optimization and Optimal
Control: Theory and Applications (A. Chinchuluun, P.M. Pardalos, R. Enkhbat e I.
Tseveendorj, eds.), Springer-Verlag, pp. 23-54, 2010.
PAPERS
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Farkas-Minkowski systems in semi-infinite programming. Applied Mathematics
and Optimization, Vol. 7, pp. 295-308, 1980 (with M.A. López; J.T. Pastor).
A note about the consistency of an infinite linear inequality system. Revista de la
Unión Matemática Argentina, Vol. 31, pp. 197-201, 1984 (with M.A. López; J.T.
Pastor).
Alternative theorems for infinite systems with applications to semi-infinite games.
Nieuw Archief Voor Wiskunde, Vol. 4, pp.218-234, 1984 (with M.A. López; J.T.
Pastor; E. Vercher).
An overview of semi-infinite programming theory and related topics through a
generalization of alternative theorems. Trabajos de Estadística e Investigación
Operativa, Vol. 35, pp. 32-47, 1984 (with M.A. López; J.T. Pastor; E. Vercher).
Reduction and discrete approximation in linear semi-infinite programming.
Optimization, Vol. 18, pp. 643-658, 1987 (with M.A. López).
Boundedness relations in linear semi-infinite programming. Avances in Applied
Mathematics, Vol. 8, pp. 53-68, 1987.
A Note about linear inequality systems and duality. Zeitschrift fur Operations
Research, Vol. 31, pp. 71-78, 1987 (with V. Jornet).
The optimal value function in semi-infinite programming. Journal of Optimization
Theory and Applications, Vol. 59, pp. 261-279, 1988 (with M.A. López).
Geometric fundamentals of the simplex method in semi-infinite programming.
Operations Research-Spektrum, Vol. 10, pp. 145-152, 1988 (with V. Jornet).
A theory on the linear inequality systems. Linear Algebra and its Applications,
Vol. 106, pp. 77-115, 1988 (with M.A. López).
Performance and Location of Bank Branches. Research Papers in Banking and
Finance (IEF) 90/15, pp. 1-53, 1990 (with M.A. López; J.T. Pastor).
Conditions for the uniqueness of the optimal solution in linear semi-infinite
programming. Journal of Optimization Theory and Applications, Vol.72, pp. 225246, 1992 (with M.A. López).
Dimension and finite reduction in linear semi-infinite programming. Optimization,
Vol. 25, pp. 143-160, 1992 (with M.A. López).
On the existence of solutions for linear inequality systems, Journal of
Mathematical Analysis and Applications, Vol. 192, pp. 133-150, 1995 (with M.A.
López; M.A. Mira; J. Valls).
Unicity in linear optimization. Journal of Optimization Theory and Applications,
Vol. 86, pp. 37-56, 1995 (with M.A. López; M. Todorov).
Optimality theory for semi-infinite linear programming. Numerical Functional
Analysis and Optimization, Vol. 16, pp. 669-700, 1995 (with M.A. López).
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Stability theory for linear inequality systems. SIAM J. Matrix Analysis and
Applications, Vol. 17, pp.730-743, 1996 (with M.A. López; M. Todorov).
Topological stability of linear semi-infinite inequality systems. Journal of
Optimization Theory and Applications, Vol. 89, pp. 227-236, 1996 (with M.A.
López).
On Haar's dual problem. Operations Research-Spektrum, Vol. 18, pp. 209-227,
1996 (with V. Jornet).
Stability theory for linear inequality systems II: Upper semicontinuity of the
solution mapping, SIAM J. Optimization, Vol.7, pp.1138-1151, 1997 (with M.A.
López; M. Todorov).
Locally polyhedral linear semi-infinte systems. Linear Algebra and its
Applications,Vol. 270, pp. 231-253, 1997 (with E. J. Anderson; M.A. López).
Redundancy in linear semi-infinite systems. Numerical Functional Analysis and
Optimization, Vol. 19, pp. 529-548, 1998 (with J.A. Mira; G. Torregrosa).
Analytical linear inequality systems and optimization, Journal of Optimization
Theory and Applications, Vol. 103, pp. 95-119, 1999 (con V. Jornet: R. Puente; M.
Todorov).
On duality in semi-infinite programming and existence theorems for linear
inequalities, Journal of Mathematical Analysis and Applications, Vol. 230, 173192, 1999 (with M.A. López).
Simplex-like trajectories on quasi-polyhedral convex sets, Mathematics of
Operations Research, Vol. 26, 147-162, 2001 (with E. Anderson ; M.A. López).
The directional end of a convex set and its applications, Journal of Optimization
Theory and Applications, Vol. 110, 389-411, 2001 (with V.Jornet; M. Rodríguez).
On the stability of the feasible set in linear optimization, Set Valued Analysis, Vol
9, 75-99, 2001 (with M.A. López; M. Todorov).
On the characterization of some families of closed convex sets, Contributions to
Algebra and Geometry, Vol. 43, 153-169, 2002 (with V.Jornet; M. Rodríguez).
Linear semi-infinite programming: an updated survey, European Journal of
Operations Research, Vol. 143, 390-405, 2002 (with M.A. López).
A sup-function approach to linear semi-infinite optimization, Journal of
Mathematical Sciences, Vol. 116, 3359-3368, 2003 (with M.A. López; M.
Todorov).
• On linear systems containing strict inequalities, Linear Algebra and its
Applications, Vol. 360, 151-171, 2003 (wih V. Jornet; M. Rodríguez).
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Saturation in linear optimization, Journal of Optimization Theory and
Applications, Vol. 117, 327-348, 2003 (wih V. Jornet; M.D. Molina).
• On the stability of the boundary of the feasible set in linear optimization, Set-Valued
Analysis, Vol. 11, 203-223, 2003 (wih M. Larriqueta; V. Vera de Serio).
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A generic result in linear semi-infinite optimization, Applied Mathematics and
Optimization, Vol. 48, 181-193, 2003 (wih M.A. López; M. I. Todorov).
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Extended active constraints in linear optimization with applications, SIAM J.
Optimization, Vol. 14, 608-619, 2003 (wih M.A. López; M. I. Todorov).
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On linear inequality systems with smooth coefficients, Journal of Optimization
Theory and Applications, Vol. 124, 363-386, 2005 (with L. Hernández; M.I.
Todorov).
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Uniform saturation in linear inequality systems, Top, Vol. 13, 167-184, 2005 (with
V. Jornet; M.D. Molina).
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On the stability of closed-convex-valued mappings and the associated boundaries,
Journal of Mathematical Analysis and Applications, Vol. 306, 502-515, 2005
(with M.A. López; M.I. Todorov).
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On the stability of the extreme point set in linear optimization, SIAM J.
Optimization, Vol. 15, 1155-1169, 2005 (with M. Larriqueta; V. Vera de Serio).
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Separating the solution sets of analytical and polynomial systems, Top, Vol. 13,
321-329, 2005 (with L. Hernández; M.I. Todorov).
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Dual characterizations of set containments with strict convex inequalities, Journal
of Global Optimization, Vol. 34, 33-54, 2006 (with V. Jeyakumar; N. Dinh).
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Analyzing linear systems containing strict inequalities via evenly convex hulls,
European Journal of Operational Research, Vol. 169, 1079-1095, 2006 (with M.
Rodríguez).
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From linear to convex systems: Consistency, Farkas Lemma and applications,
Journal of Convex Analysis, Vol. 13, 113-133, 2006 (with N. Dinh; M.A. López).
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On the stability of linear systems with an exact constraint set, Mathematical
Methods of Operations Research, Vol. 63, 107 – 121, 2006 (with J. Amaya).
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On the stability of convex-valued mappings and their relative boundary and extreme
point set mappings, SIAM Journal on Optimization, Vol. 17, 147-158, 2006 (with
M.I. Todorov; V. Vera de Serio).
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Excess information in parametric linear optimization, Optimization, Vol. 55, 555 –
568, 2006 (with V. Jornet; M.D. Molina).
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Sensitivity analysis in linear semi-infinite programming: perturbing cost and righthand-side coefficients, European Journal of Operational Research, Vol. 181,
1069-1085, 2007 (with S. Gómez, F. Guerra; M.I. Todorov).
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Ill-posedness in withtinuous linear optimization via partitions of the space of
parameters, Comptes Rendues de l’Académie Bulgare des Sciences, Vol. 60, 357364, 2007 (with M.I. Todorov).
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New Farkas-type constraint qualifications in convex infinite programming, ESAIM:
Control, Optimisation and Calculus of Variations, Vol. 13, 580-597, 2007 (with
N. Dinh; M.A. López; T.Q. Son).
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Primal, dual and primal-dual partitions in continuous linear optimization,
Optimization Vol. 56, 617-628, 2007 (with M.I. Todorov).
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Stability of the intersection of solution sets of semi-infinite systems, Journal of
Computational and Applied Mathematics, Vol. 217, 420-431, 2008 (with M.
Larriqueta; V. Vera de Serio).
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Necessary and sufficient constraint qualifications for systems of infinite convex
inequalities, Nonlinear Analysis: Theory, Methods & Applications, Vol. 68, 11841194, 2008 (with V. Jeyakumar; M.A. López).
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Generic primal-dual solvability in continuous linear semi-infinite programming,
Optimization, Vol. 57, 239-248, 2008 (with M.I. Todorov).
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On the stable containment of two sets, Journal of Global Optimization, Vol. 41,
613-624, 2008 (with V. Vera de Serio).
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Stability of the feasible set mapping of linear systems with an exact constraint set,
Set-Valued Analysis, Vol. 16, 621-635, 2008 (with J. Amaya; P. Bosch).
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Primal-dual stability in continuous linear optimization,
Programming, Vol. 116B, 129-146, 2009 (with M.I. Todorov).
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Penalty and smoothing methods for convex semi-infinite programming,
Mathematics of Operations Research, Vol. 34, 303-319, 2009 (with A. Auslender;
M.A. López).
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Motzkin decomposition of closed convex sets, Journal of Mathematical Analysis
and Applications, Vol. 364, 209-221, 2010 (with E. González, J.E. Martínez-Legaz;
M.I. Todorov).
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Sensitivity analysis in linear semi-infinite programming via partitions, Mathematics
of Operations Research, Vol. 35, 14-25, 2010 (with T. Terlaky; M.I. Todorov).
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On the stability of the feasible set in optimization problems, SIAM Journal on
Optimization, Vol. 20, 2254-2280, 2010 (with N. Dinh; M.A. López).
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Convex inequalities without constraint qualification nor closedness condition, and
their applications in optimization, Set-valued and Variational Analysis Vol 18,
423–445, 2010 (with N. Dinh; M.A. López; M. Volle).
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On Motzkin decomposable sets and functions, Journal of Mathematical Analysis
and Applications Vol. 372 (2010) 525–537 (with J.E. Martínez-Legaz; M.I.
Todorov).
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On implicit active constraints in linear semi-infinite programs with unbounded
coefficients, Applied Mathematics and Optimization, en prensa, DOI:
10.1007/s00245-010-9118-5 (with A. Lancho; M.I. Todorov; V. Vera de Serio).
Publications in Spanish
BOOKS
• Matemáticas 1º de B.U.P., Bello, Valencia. 1975 (with J.T. Pastor).
Mathematical
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Matemáticas 2º de B.U.P., Bello, Valencia, 1976 (with V. Jornet, J.T. Pastor).
Matemáticas 3º de B.U.P., Bello, Valencia, 1977 (with V. Jornet; J.T. Pastor).
Población y Bienestar Social en los Municipios Alicantinos, Instituto de Cultura
"Juan Gil-Albert", Alicante, 1990 (with M.A. López; J.T. Pastor).
La Cara Oculta de la Matemática (I): La Teoría de Juegos y otras Aplicaciones,
Secretariado de Publicaciones de la Universidad de Alicante, Alicante, 1990 (with
M.A. López; J.T. Pastor).
Catálogo de Films y Vídeos para la Enseñanza de la Matemática, Instituto de Ciencias
de La Educación de la Universidad de Alicante, Alicante, 1990 (with M.A. López;
J.T. Pator).
La Cara Oculta de la Matemática (II): Análisis. Secretariado de Publicaciones de la
Universidad. de Alicante, 1992 (with M.A. López; J.T. Pator).
Álgebra y Fundamentos: Una introducción, Ed. Ariel, Barcelona, 2000 (with V. Jornet;
R. Puente; M. Rodríguez).
Optimización Lineal: Teoría, Métodos y Modelos, Ed. McGraw-Hill, Barcelona, 2004
(with V. Jornet; R. Puente).
PAPERS
• Los teoremas de alternativa y su relación con la teoría de juegos y las propiedades
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topológico- algebraicas de R . Trabajos de Estadística e Investigación Operativa,
Vol. 27, pp. 393-411, 1976 (with M.A. López; J.T. Pastor).
• Reducción de programas semi-infinitos a programas finitos. Publicaciones de la
Sección de Matemáticas de la Universidad Autónoma de Barcelona, Vol. 22, pp.
265-269, 1980 (with M.A. López; J.T. Pastor).
• Linealización de programas semi-infinitos. Anales del Centro de Alzira de la
U.N.E.D., Vol. 1, pp. 393-411, 1980 (with J.T. Pastor).
• Una generalización del lema de Farkas con aplicaciones al Análisis convexo y a la
programación. Real Academia de Ciencias Exactas, Físicas y Naturales, Vol. 75,
pp 1199-1208, 1981 (with J.T. Pastor).
• Una propiedad que caracteriza a las funciones cuasiconvexas. Anales del Centro de
Alzira de la U.N.E.D., Vol. 2, pp. 135-142, 1981.
• Una nota sobre el teorema de consistencia de Blair. Anales del Centro de Alzira de
la U.N.E.D., Vol. 3, pp. 327-330, 1982.
• Sobre la existencia de soluciones en sistemas de infinitas inecuaciones. Dianium,
Vol. 1, pp. 279-286, 1982.
• Representación finita de sistemas de infinitas inecuaciones. Trabajos de Estadística
e Investigación Operativa, Vol. 33, pp. 3-26, 1982. (with M.A. López; J.T. Pastor).
• Nuevas condiciones de optimalidad en programación semi-infinita. Cuadernos de
Bioestadística y sus Aplicaciones Informáticas, Vol. 1, pp. 251-254, 1983.
• Condiciones suficientes para la existencia de solución Optima en programación
semi-infinita. Trabajos de Estadistica e Investigación Operativa, Vol. 34, pp. 3-20,
1983 (with J.T. Pastor).
• Examenes competitivos en matemáticas. Enseñanza de las Ciencias, Vol. 1, pp.
131-133, 1983 (with J.T. Pastor).
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Una selección bibliográfica de aplicaciones de la matemática determinista. Parte I.
Enseñanza de las Ciencias, Vol. 2, pp. 61-64, 1984. (with J.T. Pastor).
Una selección bibliográfica de aplicaciones de la matemática determinista. Parte II.
Enseñanza de las Ciencias,.Vol. 2, pp. 217-220, 1984. (with J.T. Pastor).
Las matemáticas en la transición de la enseñanza media a la Universidad. Revista
de Educación. Vol. 273, pp. 49-63, 1984 (with M.A. López; J.T. Pastor; M.
Valdivia).
Una Selección bibliográfica de aplicaciones de la matemática determinista. Parte
III. Enseñanza de las Ciencias, Vol. 3, pp. 61-62, 1985 (with J.T. Pastor).
La Influencia del examen de selectividad en la enseñanza (Análisis de una
experiencia en matemáticas de COU). Enseñanza de las Ciencias, Vol. 3, pp. 181184, 1985. (with M.A. López; J.T. Pastor).
Dualidad de Haar y problemas de momentos. Trabajos de Estadística e
Investigación Operativa, Vol. 1, pp. 105-115, 1986.
La predicción del rendimiento como criterio para el ingreso en la Universidad.
Revista de Educación, Vol. 283, pp. 235-248, 1987 (with M.A. López; J.T. Pastor).
Algunas propiedades de los sistemas cuyo cono característico es cerrado, Real
Academia de Ciencias Exactas, Físicas y Naturales, Vol. 81, pp. 183-196, 1987.
La valoración de la actividad investigadora en las Universidades españolas, Revista
de Educación Vol. 287, pp. 267-274, 1988 (with J.T. Pastor).
Sobre el rendimiento investigador en la Universidad Española. Revista de
Educación,. Vol. 286, pp. 281-304, 1988 (with J.T. Pastor).
Hacia un análisis comparativo del rendimiento en la Universidad Española, Revista
de Educación, Vol. 290, pp. 357-370, 1989 (with J.T. Pastor).
Una propuesta metodológica para la estimación del crecimiento de las
Universidades Españolas. Revista de Educación, Vol. 293, pp. 451-467, 1990 (with
M.A. López; J.T. Pastor).
Elementos para la planificación de la Universidad de Alicante. Revista
Universidad-es, Vol. 1, pp. 95-106, 1991 (with M.A. López; J.T. Pastor).
La persistencia de los factores de rendimiento académico en el alumnado de
ciencias químicas, Revista de Enseñanza Universitaria, Vol. 2/3, pp. 33-38, 1992
(with C. J. Rodríguez.