# Matrix Computations, 4th Edition

## Book Description

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.

### Table of Contents

Chapter 1. Matrix Multiplication

Chapter 2. Matrix Analysis

Chapter 3. General Linear Systems

Chapter 4. Special Linear Systems

Chapter 5. Orthogonalization and Least Squares

Chapter 6. Modified Least Squares Problems and Methods

Chapter 7. Unsymmetric Eigenvalue Problems

Chapter 8. Symmetric Eigenvalue Problems

Chapter 9. Functions of Matrices

Chapter 10. Large Sparse Eigenvalue Problems

Chapter 11. Large Sparse Linear System Problems

Chapter 12. Special Topics

## Book Details

- Title: Matrix Computations, 4th Edition
- Author: Charles F. Van Loan, Gene H. Golub
- Length: 784 pages
- Edition: 4
- Language: English
- Publisher: Johns Hopkins University Press
- Publication Date: 2012-12-27
- ISBN-10: 1421407949
- ISBN-13: 9781421407944

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