Pang, JongShi
Overview
Works:  78 works in 201 publications in 1 language and 2,118 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Other, Editor 
Classifications:  QA402.5, 519.3 
Publication Timeline
.
Most widely held works by
JongShi Pang
The linear complementarity problem by
Richard Cottle(
Book
)
28 editions published between 1992 and 2009 in English and Undetermined and held by 356 WorldCat member libraries worldwide
Awarded the Frederick W. Lanchester Prize in 1994 for its valuable contributions to operations research and the management sciences, this mathematically rigorous book remains the standard reference on the linear complementarity problem. Readers will find a comprehensive treatment of the computation of equilibria arising from engineering, economics, and finance; chapterending exercises and Notes and References sections that make it equally useful for a graduatelevel course or for selfstudy; corrections and revisions of difficult passages from the 1992 edition; and an updated bibliography. Audience: researchers and graduate students in fields including optimization, game theory, and finance, and diverse engineering disciplines, especially computer science and mechanical engineering
28 editions published between 1992 and 2009 in English and Undetermined and held by 356 WorldCat member libraries worldwide
Awarded the Frederick W. Lanchester Prize in 1994 for its valuable contributions to operations research and the management sciences, this mathematically rigorous book remains the standard reference on the linear complementarity problem. Readers will find a comprehensive treatment of the computation of equilibria arising from engineering, economics, and finance; chapterending exercises and Notes and References sections that make it equally useful for a graduatelevel course or for selfstudy; corrections and revisions of difficult passages from the 1992 edition; and an updated bibliography. Audience: researchers and graduate students in fields including optimization, game theory, and finance, and diverse engineering disciplines, especially computer science and mechanical engineering
Mathematical programs with equilibrium constraints by
ZhiQuan Luo(
Book
)
15 editions published between 1996 and 2008 in English and held by 266 WorldCat member libraries worldwide
This book provides a solid foundation and an extensive study for an important class of constrained optimization problems known as Mathematical Programs with Equilibrium Constraints (MPEC), which are extensions of bilevel optimization problems. The book begins with the description of many source problems arising from engineering and economics that are amenable to treatment by the MPEC methodology. Error bounds and parametric analysis are the main tools to establish a theory of exact penalisation, a set of MPEC constraint qualifications and the firstorder and secondorder optimality conditions. The book also describes several iterative algorithms such as a penaltybased interior point algorithm, an implicit programming algorithm and a piecewise sequential quadratic programming algorithm for MPECs. Results in the book are expected to have significant impacts in such disciplines as engineering design, economics and game equilibria, and transportation planning, within all of which MPEC has a central role to play in the modelling of many practical problems
15 editions published between 1996 and 2008 in English and held by 266 WorldCat member libraries worldwide
This book provides a solid foundation and an extensive study for an important class of constrained optimization problems known as Mathematical Programs with Equilibrium Constraints (MPEC), which are extensions of bilevel optimization problems. The book begins with the description of many source problems arising from engineering and economics that are amenable to treatment by the MPEC methodology. Error bounds and parametric analysis are the main tools to establish a theory of exact penalisation, a set of MPEC constraint qualifications and the firstorder and secondorder optimality conditions. The book also describes several iterative algorithms such as a penaltybased interior point algorithm, an implicit programming algorithm and a piecewise sequential quadratic programming algorithm for MPECs. Results in the book are expected to have significant impacts in such disciplines as engineering design, economics and game equilibria, and transportation planning, within all of which MPEC has a central role to play in the modelling of many practical problems
Complementarity and variational problems : state of the art by International Conference on Complementarity Problems(
Book
)
9 editions published in 1997 in English and held by 83 WorldCat member libraries worldwide
9 editions published in 1997 in English and held by 83 WorldCat member libraries worldwide
Complementarity : applications, algorithms, and extensions by
Michael C Ferris(
Book
)
4 editions published between 2001 and 2011 in English and held by 61 WorldCat member libraries worldwide
"New algorithmic advances including preprocessing and nonmonotone searches, extensions of computational methods using tools from nonsmooth analysis and related theory for mathematical programs with equilibrium constraints is also detailed." "Audience: Researchers and advanced students working in optimization and management sciences."Jacket
4 editions published between 2001 and 2011 in English and held by 61 WorldCat member libraries worldwide
"New algorithmic advances including preprocessing and nonmonotone searches, extensions of computational methods using tools from nonsmooth analysis and related theory for mathematical programs with equilibrium constraints is also detailed." "Audience: Researchers and advanced students working in optimization and management sciences."Jacket
Computational optimization : a tribute to Olvi Mangasarian(
Book
)
2 editions published in 1999 in English and held by 39 WorldCat member libraries worldwide
2 editions published in 1999 in English and held by 39 WorldCat member libraries worldwide
Finite dimensional variational inequalities and complementarity problems by
Francisco Facchinei(
Book
)
5 editions published between 2003 and 2004 in English and held by 13 WorldCat member libraries worldwide
5 editions published between 2003 and 2004 in English and held by 13 WorldCat member libraries worldwide
Finite dimensional variational inequalities and complementarity problems by
Francisco Facchinei(
Book
)
7 editions published between 2003 and 2005 in English and held by 12 WorldCat member libraries worldwide
This two volume work presents a comprehensive treatment of the finite dimensional variational inequality and complementarity problem, covering the basic theory, iterative algorithms, and important applications. The authors provide a broad coverage of the finite dimensional variational inequality and complementarity problem beginning with the fundamental questions of existence and uniqueness of solutions, presenting the latest algorithms and results, extending into selected neighboring topics, summarizing many classical source problems, and suggesting novel application domains. This first volume contains the basic theory of finite dimensional variational inequalities and complementarity problems. This book should appeal to mathematicians, economists, and engineers working in the field. A set price of EUR 199 is offered for volume I and II bought at the same time. Please order at: orders@springer.de
7 editions published between 2003 and 2005 in English and held by 12 WorldCat member libraries worldwide
This two volume work presents a comprehensive treatment of the finite dimensional variational inequality and complementarity problem, covering the basic theory, iterative algorithms, and important applications. The authors provide a broad coverage of the finite dimensional variational inequality and complementarity problem beginning with the fundamental questions of existence and uniqueness of solutions, presenting the latest algorithms and results, extending into selected neighboring topics, summarizing many classical source problems, and suggesting novel application domains. This first volume contains the basic theory of finite dimensional variational inequalities and complementarity problems. This book should appeal to mathematicians, economists, and engineers working in the field. A set price of EUR 199 is offered for volume I and II bought at the same time. Please order at: orders@springer.de
Analysis of a distributed system for lifting trucks by
J. F Groote(
Book
)
3 editions published in 2001 in English and held by 9 WorldCat member libraries worldwide
3 editions published in 2001 in English and held by 9 WorldCat member libraries worldwide
A Least Element Theory of Solving Linear Complementarity Problems as Linear Programs by
Richard Cottle(
Book
)
5 editions published in 1976 in English and held by 4 WorldCat member libraries worldwide
A previous report established a leastelement interpretation to Mangasarian's theory of formulating some linear complementarity problems as linear programs. The present report extends the previous analysis to a more general class of linear complementarity problems investigated by Mangasarian. The purposes are (1) to demonstrate how solutions to these problems can be generated from least elements of polyhedral sets and (2) to investigate how these leastelement solutions are related to the solutions obtained by the linear programming approach as proposed by Mangasarian
5 editions published in 1976 in English and held by 4 WorldCat member libraries worldwide
A previous report established a leastelement interpretation to Mangasarian's theory of formulating some linear complementarity problems as linear programs. The present report extends the previous analysis to a more general class of linear complementarity problems investigated by Mangasarian. The purposes are (1) to demonstrate how solutions to these problems can be generated from least elements of polyhedral sets and (2) to investigate how these leastelement solutions are related to the solutions obtained by the linear programming approach as proposed by Mangasarian
On the solution of some (parametric) linear complementarity problems with applications to portfolio analysis, structural engineering
and graduation by
JongShi Pang(
Book
)
4 editions published in 1977 in English and held by 4 WorldCat member libraries worldwide
This paper discusses three important applications of a class of (parametric) linear complementarity problems arising independently from such diverse areas as portfolio analysis, structural engineering and graduation. After explaining how the complementarity problems emerge in these applications, some analytical comparisons (based on operation counts and storage requirements) of several existing algorithms are performed for solving this class of complementarity problems. Computational results to support the analytical comparisons are presented and some conclusions drawn about the general performance of these algorithms
4 editions published in 1977 in English and held by 4 WorldCat member libraries worldwide
This paper discusses three important applications of a class of (parametric) linear complementarity problems arising independently from such diverse areas as portfolio analysis, structural engineering and graduation. After explaining how the complementarity problems emerge in these applications, some analytical comparisons (based on operation counts and storage requirements) of several existing algorithms are performed for solving this class of complementarity problems. Computational results to support the analytical comparisons are presented and some conclusions drawn about the general performance of these algorithms
Computational optimization : a tribute to Olvi Mangasarian by
JongShi Pang(
Book
)
4 editions published in 1999 in English and held by 4 WorldCat member libraries worldwide
Computational Optimization: A Tribute to Olvi Mangasarian serves as an excellent reference, providing insight into some of the most challenging research issues in the field. This collection of papers covers a wide spectrum of computational optimization topics, representing a blend of familiar nonlinear programming topics and such novel paradigms as semidefinite programming and complementarityconstrained nonlinear programs. Many new results are presented in these papers which are bound to inspire further research and generate new avenues for applications. An informal categorization of the papers includes: Algorithmic advances for special classes of constrained optimization problems Analysis of linear and nonlinear programs Algorithmic advances B stationary points of mathematical programs with equilibrium constraints Applications of optimization Some mathematical topics Systems of nonlinear equations
4 editions published in 1999 in English and held by 4 WorldCat member libraries worldwide
Computational Optimization: A Tribute to Olvi Mangasarian serves as an excellent reference, providing insight into some of the most challenging research issues in the field. This collection of papers covers a wide spectrum of computational optimization topics, representing a blend of familiar nonlinear programming topics and such novel paradigms as semidefinite programming and complementarityconstrained nonlinear programs. Many new results are presented in these papers which are bound to inspire further research and generate new avenues for applications. An informal categorization of the papers includes: Algorithmic advances for special classes of constrained optimization problems Analysis of linear and nonlinear programs Algorithmic advances B stationary points of mathematical programs with equilibrium constraints Applications of optimization Some mathematical topics Systems of nonlinear equations
Variational inequality problems(
Book
)
3 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide
Longrun equilibrium modeling of alternative emissions allowance allocation systems in electric power markets by Jinye Z Schulkin(
Book
)
1 edition published in 2007 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 4 WorldCat member libraries worldwide
Complementarity problems(
Book
)
3 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1990 in English and held by 4 WorldCat member libraries worldwide
Some New and Efficient Algorithms for Portfolio Analysis by
JongShi Pang(
Book
)
4 editions published in 1977 in English and held by 4 WorldCat member libraries worldwide
This paper first describes a modified version of the parametric principal pivoting algorithm for the class of parametric linear complementarity problems with Pmatrices. The modified version of the parametric principal pivoting algoritm is then used to develop a new and efficient algorithm to solve the class of portfolio analysis problems with positive definite (or equivalently, nonsingular) covariance matrices. Extension of the new algorithm to hanlde explicit upperbounds is also established. The new algorithm and its extension are then specialized to the index models. In these specializations, the algorithms are particularly effective, achieving dramatic savings in both storage and computations. (Author)
4 editions published in 1977 in English and held by 4 WorldCat member libraries worldwide
This paper first describes a modified version of the parametric principal pivoting algorithm for the class of parametric linear complementarity problems with Pmatrices. The modified version of the parametric principal pivoting algoritm is then used to develop a new and efficient algorithm to solve the class of portfolio analysis problems with positive definite (or equivalently, nonsingular) covariance matrices. Extension of the new algorithm to hanlde explicit upperbounds is also established. The new algorithm and its extension are then specialized to the index models. In these specializations, the algorithms are particularly effective, achieving dramatic savings in both storage and computations. (Author)
Nondegenerate solutions and related concepts in affine variational inequalities by
Michael C Ferris(
Book
)
2 editions published in 1994 in English and held by 3 WorldCat member libraries worldwide
Abstract: "The notion of a strictly complementary solution for complementarity problems is extended to that of a nondegenerate solution of variational inequalities. Several equivalent formulations of nondegeneracy are given. In the affine case, an existence theorem for a nondegenerate solution is given in terms of several related concepts which are shown to be equivalent in this context. These include a weak sharp minimum, the minimum principle sufficiency, and error bounds. The gap function associated with the variational inequality plays a central role in this existence theorem."
2 editions published in 1994 in English and held by 3 WorldCat member libraries worldwide
Abstract: "The notion of a strictly complementary solution for complementarity problems is extended to that of a nondegenerate solution of variational inequalities. Several equivalent formulations of nondegeneracy are given. In the affine case, an existence theorem for a nondegenerate solution is given in terms of several related concepts which are shown to be equivalent in this context. These include a weak sharp minimum, the minimum principle sufficiency, and error bounds. The gap function associated with the variational inequality plays a central role in this existence theorem."
Finitedimensional variational inequalities and complementarity problems by
Francisco Facchinei(
Book
)
3 editions published between 2003 and 2004 in English and held by 1 WorldCat member library worldwide
3 editions published between 2003 and 2004 in English and held by 1 WorldCat member library worldwide
FiniteDimensional Variational Inequalities and Complementarity Problems I(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
This two volume work presents a comprehensive treatment of the finite dimensional variational inequality and complementarity problem, covering the basic theory, iterative algorithms, and important applications. The authors provide a broad coverage of the finite dimensional variational inequality and complementarity problem beginning with the fundamental questions of existence and uniqueness of solutions, presenting the latest algorithms and results, extending into selected neighboring topics, summarizing many classical source problems, and suggesting novel application domains. This first volume contains the basic theory of finite dimensional variational inequalities and complementarity problems. This book should appeal to mathematicians, economists, and engineers working in the field. A set price of EUR 199 is offered for volume I and II bought at the same time. Please order at: orders@springer
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
This two volume work presents a comprehensive treatment of the finite dimensional variational inequality and complementarity problem, covering the basic theory, iterative algorithms, and important applications. The authors provide a broad coverage of the finite dimensional variational inequality and complementarity problem beginning with the fundamental questions of existence and uniqueness of solutions, presenting the latest algorithms and results, extending into selected neighboring topics, summarizing many classical source problems, and suggesting novel application domains. This first volume contains the basic theory of finite dimensional variational inequalities and complementarity problems. This book should appeal to mathematicians, economists, and engineers working in the field. A set price of EUR 199 is offered for volume I and II bought at the same time. Please order at: orders@springer
FiniteDimensional Variational Inequalities and Complementarity Problems II(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
This twovolume work presents a comprehensive treatment of the finite dimensional variational inequality and complementarity problem, covering the basic theory, iterative algorithms, and important applications. The authors provide a broad coverage of the finite dimensional variational inequality and complementarity problem beginning with the fundamental questions of existence and uniqueness of solutions, presenting the latest algorithms and results, extending into selected neighboring topics, summarizing many classical source problems, and suggesting novel application domains. This second volume contains mostly algorithms for solving finite dimensional variational inequalities and complementarity problems. Extensive notes and comments and bibliographical material is provided at the end of the book. This book will appeal to mathematicians, economists, and engineers working in the field. A set price of EUR 199 is offered for volume I and II bought at the same time. Please order at: orders@springer
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
This twovolume work presents a comprehensive treatment of the finite dimensional variational inequality and complementarity problem, covering the basic theory, iterative algorithms, and important applications. The authors provide a broad coverage of the finite dimensional variational inequality and complementarity problem beginning with the fundamental questions of existence and uniqueness of solutions, presenting the latest algorithms and results, extending into selected neighboring topics, summarizing many classical source problems, and suggesting novel application domains. This second volume contains mostly algorithms for solving finite dimensional variational inequalities and complementarity problems. Extensive notes and comments and bibliographical material is provided at the end of the book. This book will appeal to mathematicians, economists, and engineers working in the field. A set price of EUR 199 is offered for volume I and II bought at the same time. Please order at: orders@springer
Finitedimensional variational inequalities and complementarity problems by
Francisco Facchinei(
)
3 editions published between 2003 and 2005 in English and held by 0 WorldCat member libraries worldwide
This is Part II of a twovolume work presenting a comprehensive treatment of the finitedimensional variational inequality and complementarity problem. This volume concentrates on the applications and algorithms and needed and should appeal to mathematicians, economists, and engineers working in the area
3 editions published between 2003 and 2005 in English and held by 0 WorldCat member libraries worldwide
This is Part II of a twovolume work presenting a comprehensive treatment of the finitedimensional variational inequality and complementarity problem. This volume concentrates on the applications and algorithms and needed and should appeal to mathematicians, economists, and engineers working in the area
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Related Identities
 Facchinei, Francisco Author
 Cottle, Richard Author Editor
 Stone, Richard E.
 Ralph, Daniel Other
 Luo, ZhiQuan Author
 Mangasarian, Olvi L. 1934 Honoree Author
 Ferris, Michael C. Author
 Ferris, Michael C. Other Editor
 Society for Industrial and Applied Mathematics
 Cambridge University Press
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Associated Subjects
Algorithms Artificial intelligence Computer scienceMathematics Economics Electric power productionEnvironmental aspects Emissions trading Engineering mathematics Inequalities (Mathematics) Information theory Investments Linear complementarity problem Mathematical optimization Mathematical optimizationData processing Mathematics Nonlinear programming Nonlinear programmingData processing Operations research Programming (Mathematics) Variational inequalities (Mathematics)
Alternative Names
JongShi Pang.
JongShi Pang Amerikaans wiskundige
Jongshi Pang matemático estadounidense
JongShi Pang mathématicien américain
JongShi Pang USamerikanischer Mathematiker
Pang JongShi
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