Matrices ' Methods and Applications'

ISBN-13: 9780198596806 / Angielski / Miękka / 1990 / 472 str.

Stephen Barnett

Opis

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.

Recenzje

'The book serves very well as an introduction to matrix methods and applications, and also as a reference for the more advanced student, scientist or engineer. The book is written in a readable style and I am sure will be warmly welcomed by lecturers and students.' Alan Zinober, Journal of the Operational Research Society Vol. 43, No. 12, 1992

Spis treści

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