Cottle, Richard
Overview
Works:  111 works in 363 publications in 2 languages and 3,062 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Director 
Publication Timeline
.
Most widely held works by
Richard Cottle
Nonlinear programming by
American Mathematical Society(
Book
)
16 editions published in 1976 in 3 languages and held by 341 WorldCat member libraries worldwide
16 editions published in 1976 in 3 languages and held by 341 WorldCat member libraries worldwide
Variational inequalities and complementarity problems : theory and applications by International School of Mathematics on variational iniequalities and complementarity problems in mathematical physics and
economics(
Book
)
19 editions published between 1979 and 1980 in English and held by 305 WorldCat member libraries worldwide
19 editions published between 1979 and 1980 in English and held by 305 WorldCat member libraries worldwide
Complementarity and fixed point problems by
M. L Balinski(
Book
)
12 editions published in 1978 in English and held by 304 WorldCat member libraries worldwide
12 editions published in 1978 in English and held by 304 WorldCat member libraries worldwide
The linear complementarity problem by
Richard Cottle(
Book
)
16 editions published between 1992 and 2009 in English and held by 291 WorldCat member libraries worldwide
16 editions published between 1992 and 2009 in English and held by 291 WorldCat member libraries worldwide
Mathematical programming : essays in honor of George B. Dantzig by
Richard Cottle(
Book
)
13 editions published in 1985 in English and held by 255 WorldCat member libraries worldwide
13 editions published in 1985 in English and held by 255 WorldCat member libraries worldwide
Linear and nonlinear optimization by
Richard Cottle(
)
8 editions published in 2017 in English and held by 237 WorldCat member libraries worldwide
This textbook on Linear and Nonlinear Optimization is intended for graduate and advanced undergraduate students in operations research and related fields. It is both literate and mathematically strong, yet requires no prior course in optimization. As suggested by its title, the book is divided into two parts covering in their individual chapters LP Models and Applications; Linear Equations and Inequalities; The Simplex Algorithm; Simplex Algorithm Continued; Duality and the Dual Simplex Algorithm; Postoptimality Analyses; Computational Considerations; Nonlinear (NLP) Models and Applications; Unconstrained Optimization; Descent Methods; Optimality Conditions; Problems with Linear Constraints; Problems with Nonlinear Constraints; InteriorPoint Methods; and an Appendix covering Mathematical Concepts. Each chapter ends with a set of exercises. The book is based on lecture notes the authors have used in numerous optimization courses the authors have taught at Stanford University. It emphasizes modeling and numerical algorithms for optimization with continuous (not integer) variables. The discussion presents the underlying theory without always focusing on formal mathematical proofs (which can be found in cited references). Another feature of this book is its inclusion of cultural and historical matters, most often appearing among the footnotes. "This book is a real gem. The authors do a masterful job of rigorously presenting all of the relevant theory clearly and concisely while managing to avoid unnecessary tedious mathematical details. This is an ideal book for teaching a one or two semester masterslevel course in optimization  it broadly covers linear and nonlinear programming effectively balancing modeling, algorithmic theory, computation, implementation, illuminating historical facts, and numerous interesting examples and exercises. Due to the clarity of the exposition, this book also serves as a valuable reference for selfstudy." Professor Ilan Adler, IEOR Department, UC Berkeley "A carefully crafted introduction to the main elements and applications of mathematical optimization. This volume presents the essential concepts of linear and nonlinear programming in an accessible format filled with anecdotes, examples, and exercises that bring the topic to life. The authors plumb their decades of experience in optimization to provide an enriching layer of historical context. Suitable for advanced undergraduates and masters students in management science, operations research, and related fields." Michael P. Friedlander, IBM Professor of Computer Science, Professor of Mathematics, University of British Columbia
8 editions published in 2017 in English and held by 237 WorldCat member libraries worldwide
This textbook on Linear and Nonlinear Optimization is intended for graduate and advanced undergraduate students in operations research and related fields. It is both literate and mathematically strong, yet requires no prior course in optimization. As suggested by its title, the book is divided into two parts covering in their individual chapters LP Models and Applications; Linear Equations and Inequalities; The Simplex Algorithm; Simplex Algorithm Continued; Duality and the Dual Simplex Algorithm; Postoptimality Analyses; Computational Considerations; Nonlinear (NLP) Models and Applications; Unconstrained Optimization; Descent Methods; Optimality Conditions; Problems with Linear Constraints; Problems with Nonlinear Constraints; InteriorPoint Methods; and an Appendix covering Mathematical Concepts. Each chapter ends with a set of exercises. The book is based on lecture notes the authors have used in numerous optimization courses the authors have taught at Stanford University. It emphasizes modeling and numerical algorithms for optimization with continuous (not integer) variables. The discussion presents the underlying theory without always focusing on formal mathematical proofs (which can be found in cited references). Another feature of this book is its inclusion of cultural and historical matters, most often appearing among the footnotes. "This book is a real gem. The authors do a masterful job of rigorously presenting all of the relevant theory clearly and concisely while managing to avoid unnecessary tedious mathematical details. This is an ideal book for teaching a one or two semester masterslevel course in optimization  it broadly covers linear and nonlinear programming effectively balancing modeling, algorithmic theory, computation, implementation, illuminating historical facts, and numerous interesting examples and exercises. Due to the clarity of the exposition, this book also serves as a valuable reference for selfstudy." Professor Ilan Adler, IEOR Department, UC Berkeley "A carefully crafted introduction to the main elements and applications of mathematical optimization. This volume presents the essential concepts of linear and nonlinear programming in an accessible format filled with anecdotes, examples, and exercises that bring the topic to life. The authors plumb their decades of experience in optimization to provide an enriching layer of historical context. Suitable for advanced undergraduates and masters students in management science, operations research, and related fields." Michael P. Friedlander, IBM Professor of Computer Science, Professor of Mathematics, University of British Columbia
Mathematical programming : proceedings of the International Congress on Mathematical Programming, Rio de Janeiro, Brazil,
68 April, 1981 by International Congress on Mathematical Programming(
Book
)
16 editions published in 1984 in English and held by 202 WorldCat member libraries worldwide
16 editions published in 1984 in English and held by 202 WorldCat member libraries worldwide
Optimization methods for resource allocation; proceedings of a NATO conference held in Elsinore, Denmark by
Richard Cottle(
Book
)
20 editions published in 1974 in English and Undetermined and held by 198 WorldCat member libraries worldwide
20 editions published in 1974 in English and Undetermined and held by 198 WorldCat member libraries worldwide
The basic George B. Dantzig by
George B Dantzig(
Book
)
7 editions published in 2003 in English and held by 164 WorldCat member libraries worldwide
"George B. Dantzig, widely known as the father of linear programming, has been a major influence in mathematics, operations research, and economics. The 24 chapters of this volume highlight the amazing breadth and enduring influence of Dantzig's research. Short, nontechnical summaries at the opening of each part of the book introduce a specific research area and discuss the current significance of Dantzig's work in that field. Among the topics covered are mathematical statistics, the Simplex Method of linear programming, economic modeling, network optimization, and nonlinear programming. The book also includes a complete bibliography of Dantzig's writings."Jacket
7 editions published in 2003 in English and held by 164 WorldCat member libraries worldwide
"George B. Dantzig, widely known as the father of linear programming, has been a major influence in mathematics, operations research, and economics. The 24 chapters of this volume highlight the amazing breadth and enduring influence of Dantzig's research. Short, nontechnical summaries at the opening of each part of the book introduce a specific research area and discuss the current significance of Dantzig's work in that field. Among the topics covered are mathematical statistics, the Simplex Method of linear programming, economic modeling, network optimization, and nonlinear programming. The book also includes a complete bibliography of Dantzig's writings."Jacket
The linear complementarity problem by
Richard Cottle(
)
13 editions published in 2009 in English and held by 129 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
13 editions published in 2009 in English and held by 129 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 programming : essays in honor of George B. Dantzig by
Richard Cottle(
)
16 editions published in 1985 in English and held by 128 WorldCat member libraries worldwide
16 editions published in 1985 in English and held by 128 WorldCat member libraries worldwide
Mathematical programming : essays in honor of George B. Dantzig(
)
12 editions published in 1985 in English and held by 99 WorldCat member libraries worldwide
12 editions published in 1985 in English and held by 99 WorldCat member libraries worldwide
Complementarity and Fixed Point Problems by
M. L Balinski(
)
5 editions published in 1978 in English and held by 64 WorldCat member libraries worldwide
5 editions published in 1978 in English and held by 64 WorldCat member libraries worldwide
Mathematical Programming Essays in Honor of George B. Dantzig Part I by
Richard Cottle(
)
1 edition published in 1985 in English and held by 31 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 31 WorldCat member libraries worldwide
Mathematical Programming Essays in Honor of George B. Dantzig Part II by
Richard Cottle(
)
1 edition published in 1985 in English and held by 31 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 31 WorldCat member libraries worldwide
City of London traffic study by
Greater London Council(
Book
)
3 editions published in 1974 in English and held by 22 WorldCat member libraries worldwide
3 editions published in 1974 in English and held by 22 WorldCat member libraries worldwide
Studies in optimization by
George B Dantzig(
Book
)
1 edition published in 1974 in Undetermined and held by 21 WorldCat member libraries worldwide
1 edition published in 1974 in Undetermined and held by 21 WorldCat member libraries worldwide
Festschrift in honor of Philip Wolfe(
Book
)
5 editions published in 1993 in English and held by 17 WorldCat member libraries worldwide
5 editions published in 1993 in English and held by 17 WorldCat member libraries worldwide
A theorem of Fritz John in mathematical programming by
Richard Cottle(
Book
)
2 editions published in 1963 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 1963 in English and held by 9 WorldCat member libraries worldwide
Mathematical programming essays in honor of George B. Dantzig(
Book
)
1 edition published in 1985 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 9 WorldCat member libraries worldwide
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Related Identities
 Dantzig, George B. (George Bernard) 19142005 Honoree Author Dedicatee
 Pang, JongShi Editor
 Stone, Richard E.
 Balinski, M. L. Author Editor
 Lemke, Carlton E. Editor
 American Mathematical Society Publisher
 Lions, J.L (JacquesLouis) 19282001 Editor
 Giannessi, F. Editor
 Aneja, Y. P.
 Thapa, Mukund N. Other
Useful Links
Associated Subjects
Business Calculus of variations Canada City traffic Computer science Dantzig, George B.(George Bernard), Decision making EnglandLondon Fixed point theory Inequalities (Mathematics) Integer programming Linear complementarity problem Linear programming Management science Mathematical models Mathematical optimization Mathematical statistics Mathematics Maxima and minima Nonlinear programming Operations research Operations researchMathematics Origin and destination traffic surveys Programming (Mathematics) Resource allocation Scientists Traffic surveys United States Variational inequalities (Mathematics)
Covers
Alternative Names
Cottle, R. W.
Cottle, R. W. 1934
Cottle, R. W. (Richard W.)
Cottle, R. W. (Richard W.), 1934
Cottle, Richard W.
Cottle, Richard W. 1934
Richard Cottle American mathematician
Richard Cottle Amerikaans wiskundige
Richard Cottle matemàtic estatunidenc
Richard Cottle matemático estadounidense
Richard Cottle matematico statunitense
Richard Cottle USamerikanischer Mathematiker
Warren Cottle Richard
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