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Numerical Matrix Analysis Linear Systems And Least Squares Ilse C F Ipsen

  • SKU: BELL-1330146
Numerical Matrix Analysis Linear Systems And Least Squares Ilse C F Ipsen
$ 31.00 $ 45.00 (-31%)

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Numerical Matrix Analysis Linear Systems And Least Squares Ilse C F Ipsen instant download after payment.

Publisher: Society for Industrial and Applied Mathematics
File Extension: PDF
File size: 1.21 MB
Pages: 142
Author: Ilse C. F. Ipsen
ISBN: 9780898716764, 0898716764
Language: English
Year: 2009

Product desciption

Numerical Matrix Analysis Linear Systems And Least Squares Ilse C F Ipsen by Ilse C. F. Ipsen 9780898716764, 0898716764 instant download after payment.

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 rigor, 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.

Audience: This book is intended for first-year graduate students in engineering, operations research, computational science, and all areas of mathematics. It also is appropriate for self-study.

Contents: Preface; Introduction; Chapter 1: Matrices; Chapter 2: Sensitivity, Errors, and Norms; Chapter 3: Linear Systems; Chapter 4: Singular Value Decomposition; Chapter 5: Least Square Problems; Chapter 6: Subspaces; Index.

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