Matrices : methods and applications

✍ Scribed by Barnett, Stephen

• Publisher: Clarendon Press, Oxford University Press
• Year: 1996
• Tongue: English
• Leaves: 466
• Series: Oxford applied mathematics and computing science series
• Edition: 1
• Category: Library

✦ Synopsis

This volume provides a down-to-earth, easily understandable guide to techniques of matrix theory, which are widely used throughout engineering and the physical, life, and social sciences. Fully up-to-date, the book covers a wide range of topics, from basic matrix algebra to such advanced concepts as generalized inverses and Hadamard matrices, and applications to error-correcting codes, control theory, and linear programming. Results are illustrated with many examples drawn from diverse areas of application. Numerous exercises are included to clarify the material presented in the text, which is suitable for undergraduates and graduates alike. Researchers will also benefit from the accessible accounts of advanced matrix techniques.

✦ Table of Contents

Content: How matrices arise
Basic algebra of matrices
Unique solution of linear equations
Determinant and inverse
Rank, non-unique solution of equations, and applications
Eigenvalues and eigenvectors
Quadratic and hermitian forms
Canonical forms
Matrix functions
Generalized inverses
Polynomials, stability, and matrix equations
Polynomial and rational matrices
Patterned matrices
Miscellaneous topics
Bibliography
Index