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

Numerical Linear Algebra and Optimization

Buch | Softcover
426 Seiten
2021
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-1-61197-656-4 (ISBN)
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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.
Erscheinungsdatum
Reihe/Serie Classics in Applied Mathematics
Verlagsort New York
Sprache englisch
Gewicht 700 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Finanz- / Wirtschaftsmathematik
ISBN-10 1-61197-656-1 / 1611976561
ISBN-13 978-1-61197-656-4 / 9781611976564
Zustand Neuware
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