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portada Numerical Linear Algebra and Optimization
Type
Physical Book
Publisher
Author
Collection
Classics in Applied Mathematics
Year
2021
Language
English
Pages
426
Format
Paperback
ISBN13
9781611976564

Numerical Linear Algebra and Optimization

Philip E. Gill;Walter Murray;Margaret H. Wright (Author) · SIAM - Society for Industrial and Applied Mathematics · Paperback

Numerical Linear Algebra and Optimization - Philip E. Gill;Walter Murray;Margaret H. Wright

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NT$ 3,859

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Synopsis "Numerical Linear Algebra and Optimization"

Covers the fundamentals of closely related topics: linear systems (linear equations and least-squares) and linear programming (optimizing a linear function subject to linear constraints). For each problem class, stable and efficient numerical algorithms intended for a finite-precision environment are derived and analysed.

Numerical Linear Algebra and Optimization covers the fundamentals of closely related topics: linear systems (linear equations and least-squares) and linear programming (optimizing a linear function subject to linear constraints). For each problem class, stable and efficient numerical algorithms intended for a finite-precision environment are derived and analyzed. In 1991, when the book first appeared, these topics were rarely taught with a unified perspective, and, somewhat surprisingly, this remains true almost 30 years later. As a result, some of the material in this book can be difficult to find elsewhere—in particular, techniques for updating the LU factorization, descriptions of the simplex method applied to all-inequality form, and the analysis of what happens when using an approximate inverse to solve Ax=b.

This book is appropriate for students who want to learn about numerical techniques for solving linear systems and/or linear programming using the simplex method.

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