Numerical Matrix Analysis: Linear Systems and Least Squares

This self-contained textbook presents matrix analysis in the context of numerical computation with numerical conditioning of problems and numerical stability of algorithms at the forefront. Using a unique combination of numerical insight and mathematical rigour, it advances readers' understanding of two phenomena: sensitivity of linear systems and least squares problems, and numerical stability of algorithms. This book differs in several ways from other numerical linear algebra texts. It offers a systematic development of ... Read More

This self-contained textbook presents matrix analysis in the context of numerical computation with numerical conditioning of problems and numerical stability of algorithms at the forefront. Using a unique combination of numerical insight and mathematical rigour, it advances readers' understanding of two phenomena: sensitivity of linear systems and least squares problems, and numerical stability of algorithms. This book differs in several ways from other numerical linear algebra texts. It offers a systematic development of numerical conditioning; a simplified concept of numerical stability in exact arithmetic; simple derivations; a high-level view of algorithms; and results for complex matrices. The material is presented at a basic level, emphasizing ideas and intuition, and each chapter offers simple exercises for use in the classroom and more challenging exercises for student practice. This book differs from other numerical linear algebra texts by offering:* A systematic development of numerical conditioning.* A simplified concept of numerical stability in exact arithmetic.* Simple derivations.* A high-level view of algorithms. * Results for complex matrices. The material is presented at a basic level, emphasizing ideas and intuition, and each chapter offers simple exercises for use in the classroom and more challenging exercises for student practice. Read Less

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2009 Edition

ISBN:

0898716764

/ ISBN-13:

9780898716764

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  	Edition: 2009, Society for Industrial and Applied Mathematics (SIAM) Trade paperback, Good	Details: ISBN: 0898716764 ISBN-13: 9780898716764 Pages: 140 Publisher: Society for Industrial and Applied Mathematics (SIAM) Published: 2009 Language: English Alibris ID: 17237494338	Shipping Options: Standard Shipping: $4.99 Trackable Expedited: $9.99 Choose your shipping method in Checkout. Costs may vary based on destination.
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2009, Society for Industrial and Applied Mathematics (SIAM), Philadelphia ISBN-13: 9780898716764 Trade paperback See All from $78.39