Numerical Matrix Analysis: Linear Systems And Least Squares - Ilse C. F. Ipsen
Society for Industrial and Applied Mathematics (2009)
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Least squares, Linear systems, Matrices

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.

Product Details
LoC Classification QA275 .I67 2009
Dewey 511/.42
Format Paperback
Cover Price 59,00 €
No. of Pages 142
Height x Width 230 mm
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Library of Congress