Numerical Matrix Analysis: Linear Systems and Least Squares - Softcover

Ipsen, Ilse

 
9780898716764: Numerical Matrix Analysis: Linear Systems and Least Squares
Softcover
ISBN 10: 0898716764 ISBN 13: 9780898716764
Publisher: Society for Industrial and Applied Mathematics, 2009

Synopsis

The purpose of this book is to promote understanding of two phenomena: sensitivity of linear systems and least squares problems, and numerical stability of algorithms. Sensitivity and stability are analyzed as mathematical properties, without reference to finite precision arithmetic. The material is presented at a basic level, emphasizing ideas and intuition, but in a mathematically rigorous fashion. The derivations are simple and elegant, and the results are easy to understand and interpret. The book is self-contained. It was written for students in all areas of mathematics, engineering, and the computational sciences, but can easily be used for self-study. This text differs from other numerical linear algebra texts by offering the following: 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.

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About the Author

Ilse Ipsen is Professor of Mathematics at North Carolina State University. She is the SIAM Vice President for Programs and a member of the editorial boards of SIAM Review, the SIAM Journal on Matrix Analysis and Applications, Numerische Mathematik, and Numerical Linear Algebra with Applications.

"About this title" may belong to another edition of this title.

Publisher
Society for Industrial and Applied Mathematics
Publication date
2009
Language
English
ISBN 10 
0898716764
ISBN 13 
9780898716764
Binding
Paperback
Number of pages
140