Thapa, Mukund Narain
Overview
Works:  14 works in 92 publications in 1 language and 930 library holdings 

Roles:  Author 
Classifications:  QA265, 519.92 
Publication Timeline
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Most widely held works by
Mukund Narain Thapa
Linear programming by
George B Dantzig(
Book
)
9 editions published between 1997 and 2003 in English and held by 256 WorldCat member libraries worldwide
9 editions published between 1997 and 2003 in English and held by 256 WorldCat member libraries worldwide
Linear programming by
George B Dantzig(
Book
)
64 editions published between 1899 and 2010 in English and Undetermined and held by 204 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
64 editions published between 1899 and 2010 in English and Undetermined and held by 204 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
Introduction by
George B Dantzig(
Book
)
2 editions published in 1997 in Undetermined and English and held by 4 WorldCat member libraries worldwide
2 editions published in 1997 in Undetermined and English and held by 4 WorldCat member libraries worldwide
Linear programming by
George B Dantzig(
Book
)
2 editions published between 2005 and 2010 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 2005 and 2010 in English 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
)
5 editions published in 2003 in English and held by 3 WorldCat member libraries worldwide
5 editions published in 2003 in English and held by 3 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 by
George B Dantzig(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Linear programming by
George B Dantzig(
Book
)
1 edition published in 1997 in Undetermined and held by 1 WorldCat member library 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
1 edition published in 1997 in Undetermined and held by 1 WorldCat member library 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 and extensions by
George B Dantzig(
)
1 edition published in 1998 in English and held by 0 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 0 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 0 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 0 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
CD to accompany linear programming. by
George B Dantzig(
Book
)
in English and held by 0 WorldCat member libraries worldwide
in English and held by 0 WorldCat member libraries worldwide
Implementation by
George B Dantzig(
Book
)
1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide
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