## Texts and Readings in Mathematics

Matrix Computations (4/e)

Gene H. Golub and Charles F. Van Loan

The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an appreciation of its mathematical properties will find this book to be an indispensible tool.

This revision is a cover-to-cover expansion and renovation of the third edition. It now includes an introduction to tensor computations and brand new sections on

• fast transforms • parallel LU • discrete Poisson solvers • pseudospectra • structured linear equation problems • structured eigenvalue problems • large-scale SVD methods • polynomial eigenvalue problems

Matrix Computations is packed with challenging problems, insightful derivations, and pointers to the literature—everything needed to become a matrix-savvy developer of numerical methods and software.

Gene H. Golub (1932–2007) was a professor emeritus and former director of scientific computing and computational mathematics at Stanford University. Charles F. Van Loan is a professor of computer science at Cornell University, where he is the Joseph C. Ford Professor of Engineering.

Reviews

"A mine of insight and information and a provocation to thought; the annotated bibliographies are helpful to those wishing to explore further. One could not ask for more, and the book should be considered a resounding success."

"Problems, solutions, and discussions of the formulas, methods and literature surrounding matrix computations make for a reference that is specific and well detailed: perfect for any college-level math collection appealing to engineers."

"Written for scientists and engineers, Matrix Computations, fourth edition provides comprehensive coverage of numerical linear algebra. Anyone whose work requires the solution to a matrix problem and an appreciation of mathematical properties will find this book to be an indispensable tool."

Contents

1 Matrix Multiplication2 Matrix Analysis

3 General Linear Systems

4 Special Linear Systems

5 Orthogonalization and Least Squares

6 Modified Least Squares Problems and Methods

7 Unsymmetric Eigenvalue Problems

8 Symmetric Eigenvalue Problems

9 Functions of Matrices

10 Large Sparse Eigenvalue Problems

11 Large Sparse Linear System Problems

12 Special Topics

Table of Contents

For sale in India only

Texts and Readings in Mathematics/ 43

2015, 978-93-80250-75-5, 780 pages, Soft cover, Rs. 1450.00

For sale in India only

Texts and Readings in Mathematics/ 43

2015, 978-93-80250-75-5, 780 pages, Soft cover, Rs. 1450.00