Numerical Linear Algebra and Optimization, Volume 1

Gill, Philip; Murray, Walter; Wright, Margaret H.

ISBN 10: 0201126494 / ISBN 13: 9780201126495

Published by Addison-Wesley Publishing Company, 1991

About this Item

This book has rubbing and surface scratching to both covers, a slightly shifted spine, foxing to the edges of the textblock, a former owner's name in blue ink on the front endpage and the side edge of the textblock, and mildly loose hinges, otherwise this book is in very good condition with crisp, unmarked pages, a tight binding, and a strong, clean cover.

Seller Inventory # 1031470

Bibliographic Details

• Title: Numerical Linear Algebra and Optimization, Volume 1
• Publisher: Addison-Wesley Publishing Company
• Publication Date: 1991
• Language: English
• ISBN 10: 0201126494
• ISBN 13: 9780201126495
• Binding: Hardcover
• Condition: Very Good
• Seller catalogs:
  • Mathematics

About this title

Synopsis

From SIAM Review: "The authors' intent is to combine exposition on the fundamentals of numerical linear algebra with those of optimization. Historically, numerical analysis texts seldom mention optimization beyond superficial lip service, and vice versa, optimization texts tend to be naive about numerically stable techniques for manipulation of matrices used in optimization algorithms. Gill, Murray, and Wright rectify this unfortunate separation by writing about and teaching both subjects together. ... One could hardly find a team more qualified to write this book. The three authors have long been recognized among the leaders in numerical optimization for their contributions to the theory and practice as well. Together with Michael Saunders, Gill, Murray, and Wright for many years formed the System Optimization Laboratory (SOL) at Stanford University Operation Research Department. ... In the given order, the book covers the following topics: linear algebra background, fundamentals of error analysis and condition, systems of linear equations, systems of rank-deficient but compatible systems of linear equations, linear least-squares problems, systems of linear inequalities and linear programming, and the Simplex Method. Each of these topics corresponds to a chapter; the chapters follow each other in a strictly logical order. In terms of applications, the later topics provide motivation for the earlier ones."