Thapa, Mukund Narain
Overview
Works:  22 works in 109 publications in 1 language and 1,233 library holdings 

Genres:  Academic theses 
Roles:  Other, Author 
Classifications:  QA265, 519.92 
Publication Timeline
.
Most widely held works by
Mukund Narain Thapa
Linear programming by
George B Dantzig(
)
33 editions published between 1899 and 2010 in English and Undetermined and held by 329 WorldCat member libraries worldwide
This combined book and software package contains worked examples and exercises for students to try out the methods covered and to develop a good working skill in this topic
33 editions published between 1899 and 2010 in English and Undetermined and held by 329 WorldCat member libraries worldwide
This combined book and software package contains worked examples and exercises for students to try out the methods covered and to develop a good working skill in this topic
Linear programming., 2: Theory and extensions by
George B Dantzig(
)
19 editions published between 1997 and 2010 in English and held by 308 WorldCat member libraries worldwide
In this second volume, the theory of the linear programming items discussed in the first volume is expanded to include such additional advanced topics as variants of the simplex method; interior point methods, GUB, decomposition, integer programming and game theory
19 editions published between 1997 and 2010 in English and held by 308 WorldCat member libraries worldwide
In this second volume, the theory of the linear programming items discussed in the first volume is expanded to include such additional advanced topics as variants of the simplex method; interior point methods, GUB, decomposition, integer programming and game theory
Linear programming by
George B Dantzig(
Book
)
8 editions published between 1997 and 2010 in English and held by 246 WorldCat member libraries worldwide
8 editions published between 1997 and 2010 in English and held by 246 WorldCat member libraries worldwide
Linear and nonlinear optimization by
Richard Cottle(
)
9 editions published between 2017 and 2019 in English and held by 238 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
9 editions published between 2017 and 2019 in English and held by 238 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
Linear programming by
George B Dantzig(
)
16 editions published between 1997 and 2003 in English and held by 34 WorldCat member libraries worldwide
Linear programming represents one of the major applications of mathematics to business, industry, and economics. It provides a methodology for optimizing an output given that is a linear function of a number of inputs. George Dantzig is widely regarded as the founder of the subject with his invention of the simplex algorithm in the 1940's. This second volume is intended to add to the theory of the items discussed in the first volume. It also includes additional advanced topics such as variants of the simplex method; interior point methods (early and current methods), GUB, decomposition, intege
16 editions published between 1997 and 2003 in English and held by 34 WorldCat member libraries worldwide
Linear programming represents one of the major applications of mathematics to business, industry, and economics. It provides a methodology for optimizing an output given that is a linear function of a number of inputs. George Dantzig is widely regarded as the founder of the subject with his invention of the simplex algorithm in the 1940's. This second volume is intended to add to the theory of the items discussed in the first volume. It also includes additional advanced topics such as variants of the simplex method; interior point methods (early and current methods), GUB, decomposition, intege
Linear programming by
George B Dantzig(
Book
)
1 edition published in 1997 in English and held by 19 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 19 WorldCat member libraries worldwide
Linear Programming 1:Introduction by
George B Dantzig(
)
2 editions published in 1997 in Undetermined and English and held by 17 WorldCat member libraries worldwide
An introduction to linear programming encompassing the major topics students will encounter in courses on the subject. The authors aim to teach both the underlying mathematical foundations and how these ideas are implemented in practice
2 editions published in 1997 in Undetermined and English and held by 17 WorldCat member libraries worldwide
An introduction to linear programming encompassing the major topics students will encounter in courses on the subject. The authors aim to teach both the underlying mathematical foundations and how these ideas are implemented in practice
Linear programming and extensions by
George B Dantzig(
)
1 edition published in 1998 in English and held by 8 WorldCat member libraries worldwide
The linear programming concept; Origins and influences; Formulating a linear programming model; Linear equation and inequality systems; The simplex method; Proof of the simplex algorithm and the duality theorem; The geometry of linear programs; Pivoting, vector spaces, matrices, and inverses; The simplex method using multipliers; Finiteness of the simplex method under perturbation; Variants of the simplex algorithm; The price concept in linear programming; Games and linear programs; The classical transportation problem; Optimal assignment and other distribution problems; The transshipment problem; Networks and the transshipment problem; Variables with upper bounds; Maximal flows in networks; The primaldual method for transportation problems; The weighted distribution problem; Programs with variable coefficients; A decomposition principle for linear programs; Convex programming; Uncertainty; Discrete variable extremum problems; Stigler's nutrition model: an example of formulation and solution; The allocation of aircraft to routes under uncertain demand
1 edition published in 1998 in English and held by 8 WorldCat member libraries worldwide
The linear programming concept; Origins and influences; Formulating a linear programming model; Linear equation and inequality systems; The simplex method; Proof of the simplex algorithm and the duality theorem; The geometry of linear programs; Pivoting, vector spaces, matrices, and inverses; The simplex method using multipliers; Finiteness of the simplex method under perturbation; Variants of the simplex algorithm; The price concept in linear programming; Games and linear programs; The classical transportation problem; Optimal assignment and other distribution problems; The transshipment problem; Networks and the transshipment problem; Variables with upper bounds; Maximal flows in networks; The primaldual method for transportation problems; The weighted distribution problem; Programs with variable coefficients; A decomposition principle for linear programs; Convex programming; Uncertainty; Discrete variable extremum problems; Stigler's nutrition model: an example of formulation and solution; The allocation of aircraft to routes under uncertain demand
Linear Programming. 1, Introduction {Springer Series in Operations Research} by
George B Dantzig(
)
1 edition published in 1997 in English and held by 7 WorldCat member libraries worldwide
An introduction to linear programming encompassing the major topics students will encounter in courses on the subject. The authors aim to teach both the underlying mathematical foundations and how these ideas are implemented in practice
1 edition published in 1997 in English and held by 7 WorldCat member libraries worldwide
An introduction to linear programming encompassing the major topics students will encounter in courses on the subject. The authors aim to teach both the underlying mathematical foundations and how these ideas are implemented in practice
Linear programming by
George B Dantzig(
)
in English and held by 5 WorldCat member libraries worldwide
in English and held by 5 WorldCat member libraries worldwide
Introduction(
Book
)
1 edition published in 1997 in Undetermined and held by 3 WorldCat member libraries worldwide
1 edition published in 1997 in Undetermined and held by 3 WorldCat member libraries worldwide
Optimization of Unconstrained Functions with Sparse Hessian Matrices  QuasiNewton Methods(
Book
)
1 edition published in 1981 in English and held by 3 WorldCat member libraries worldwide
Newtontype methods and quasiNewton methods have proven to be very successful in solving dense unconstrained optimization problems. Recently there has been considerable interest in extending these methods to solving large problems when the Hessian matrix has a known a priori sparsity pattern. This paper treats sparse quasiNewton methods in a uniform fashion and shows the effect of loss of positivedefiniteness in generating updates. These sparse quasiNewton methods coupled with a modified Cholesky factorization to take into account the loss of positivedefiniteness when solving the linear systems associated with these methods were tested on a large set of problems. The overall conclusions are that these methods perform poorly in generalthe Hessian matrix becomes indefinite even close to the solution and superlinear convergence is not observed in practice. (Author)
1 edition published in 1981 in English and held by 3 WorldCat member libraries worldwide
Newtontype methods and quasiNewton methods have proven to be very successful in solving dense unconstrained optimization problems. Recently there has been considerable interest in extending these methods to solving large problems when the Hessian matrix has a known a priori sparsity pattern. This paper treats sparse quasiNewton methods in a uniform fashion and shows the effect of loss of positivedefiniteness in generating updates. These sparse quasiNewton methods coupled with a modified Cholesky factorization to take into account the loss of positivedefiniteness when solving the linear systems associated with these methods were tested on a large set of problems. The overall conclusions are that these methods perform poorly in generalthe Hessian matrix becomes indefinite even close to the solution and superlinear convergence is not observed in practice. (Author)
Theory and extensions by
George B Dantzig(
Book
)
2 editions published in 2003 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 2 WorldCat member libraries worldwide
Optimization of unconstrained functions with sparse Hessian matrices by
Mukund Narain Thapa(
Book
)
2 editions published between 1980 and 1983 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1980 and 1983 in English and held by 2 WorldCat member libraries worldwide
Linear Programming : 2: Theory and Extensions by
George B Dantzig(
)
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
Introduction by
George B Dantzig(
Book
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Theory and extensions by
George B Dantzig(
Book
)
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
George B. Dantzig ; Mukund N. Thapa by
George B Dantzig(
Book
)
1 edition published in 1997 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1997 in Undetermined and held by 1 WorldCat member library worldwide
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