TY  - BOOK
AU  - Ipsen, Ilse C. F.
TI  - Numerical matrix analysis: linear systems and least squares 
SN  - 9789386235381
U1  - 511.42 IPS-I 
PY  - 2009///
CY  - India
PB  - University Press
KW  - Matrices
KW  - Least squares
KW  - Linear systems
N1  - 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.&Nbsp; 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, 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 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
ER  -