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Item Details
Title: NONLINEAR PROGRAMMING
By: Olvi L. Mangasarian, Robert O'Malley
Format: Paperback

List price: £63.50


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ISBN 10: 0898713412
ISBN 13: 9780898713411
Publisher: SOCIETY FOR INDUSTRIAL & APPLIED MATHEMATICS,U.S.
Pub. date: 1 January, 1987
Series: Classics in Applied Mathematics No. 10
Pages: 236
Description: A concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory.
Synopsis: This reprint of the 1969 book of the same name is a concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory. Many problems arising in diverse fields such as machine learning, medicine, chemical engineering, structural design, and airline scheduling can be reduced to a constrained optimization problem. This book provides readers with the fundamentals needed to study and solve such problems. Beginning with a chapter on linear inequalities and theorems of the alternative, basics of convex sets and separation theorems are then derived based on these theorems. This is followed by a chapter on convex functions that includes theorems of the alternative for such functions. These results are used in obtaining the saddlepoint optimality conditions of nonlinear programming without differentiability assumptions.
Illustrations: bibliography, index
Publication: US
Imprint: Society for Industrial & Applied Mathematics,U.S.
Returns: Non-returnable
Some other items by this author:
A SURVEY OF LIE GROUPS AND LIE ALGEBRAS WITH APPLICATIONS AND COMPUTATIONAL METHODS (PB)
AN INTRODUCTION TO INVARIANT EMBEDDING (PB)
AN INTRODUCTION TO VARIATIONAL INEQUALITIES AND THEIR APPLICATIONS (PB)
ASYMPTOTIC APPROXIMATIONS OF INTEGRALS (PB)
BASIC CONCEPTS OF PROBABILITY AND STATISTICS (PB)
BOUNDARY VALUE PROBLEMS OF MATHEMATICAL PHYSICS (PB)
COMPLEMENTARITY: APPLICATIONS, ALGORITHMS AND EXTENSIONS (HB)
COMPLEMENTARITY: APPLICATIONS, ALGORITHMS AND EXTENSIONS (PB)
CONVEX ANALYSIS AND VARIATIONAL PROBLEMS (PB)
DYNAMIC NONCOOPERATIVE GAME THEORY (PB)
FINITE ELEMENT SOLUTION OF BOUNDARY VALUE PROBLEMS (PB)
HISTORICAL DEVELOPMENTS IN SINGULAR PERTURBATIONS (HB)
INITIAL-BOUNDARY VALUE PROBLEMS AND THE NAVIER-STOKES EQUATIONS (PB)
INTERATIVE SOLUTION OF NONLINEAR EQUATIONS IN SEVERAL VARIABLES (PB)
INTRODUCTION TO MATRIX ANALYSIS (PB)
INTRODUCTION TO NUMERICAL CONTINUATION METHODS (PB)
LANCZOS ALGORITHMS FOR LARGE SYMMETRIC EIGENVALUE COMPUTATIONS (PB)
LINEAR DIFFERENTIAL OPERATORS (PB)
LINEAR PROGRAMMING WITH MATLAB (PB)
MATHEMATICAL ANALYSIS OF VISCOELASTIC FLOWS (PB)
MATHEMATICAL MODELS (PB)
MATHEMATICAL MODELS IN BIOLOGY (PB)
MATHEMATICAL OPTIMIZATION AND ECONOMIC THEORY (PB)
MATHEMATICAL THEORY OF RELIABILITY (PB)
MATHEMATICS APPLIED TO DETERMINISTIC PROBLEMS IN THE NATURAL SCIENCES (PB)
METHODS OF MATHEMATICAL ECONOMICS (PB)
MULTIPLE DECISION PROCEDURES (PB)
NON-LINEAR SYSTEMS ANALYSIS (PB)
NONLINEAR PROGRAMMING (PB)
NUMERICAL ANALYSIS (PB)
NUMERICAL METHODS FOR UNCONSTRAINED OPTIMIZATION AND NONLINEAR EQUATIONS (PB)
OPTIMAL DESIGN OF EXPERIMENTS (PB)
ORDINARY DIFFERENTIAL EQUATIONS (PB)
ORDINARY DIFFERENTIAL EQUATIONS (PB)
ORDINARY DIFFERENTIAL EQUATIONS IN THEORY AND PRACTICE (PB)
PERTURBATIONS: THEORY AND METHODS (PB)
PRINCIPLES OF COMPUTERIZED TOMOGRAPHIC IMAGING (PB)
STATISTICAL DESIGN AND ANALYSIS OF EXPERIMENTS (PB)
STOCHASTIC PROCESSES (PB)
THE FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS (PB)
THE MATHEMATICS OF COMPUTERIZED TOMOGRAPHY (PB)
THE SYMMETRIC EIGENVALUE PROBLEM (PB)
TIME SERIES (PB)

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