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
'matrix methods comprise an important component in any "tool kit"
of applied mathematics ... This wide-ranging textbook provides a
clearly written and up-to-date account of these methods suitable
for both undergraduates and more advanced students.'
Extrait de L'Enseignement Mathématique
'this wide-ranging, clearly written account is an ideal reference
for both undergraduates and researchers'
Mathematika, 38 (1991)
'It is very well written, in an informal style that has become the
author's trademark. Students will love this book: It provides an
easy access to matrix theory, its main facts and ideas, illustrated
with many concrete examples. Users will appreciate this book for
its encylopedic coverage and eclectic applications. The wealth of
modern, advanced material, which Barnett managed to pack in this
small volume, is impressive. Much of this material is given in
hundreds of exercises (in each section) and problems (following
each section), which makes this an excellent choice for a text, or
supplement, for a first course in matrix theory and methods. The
promised
topics (matrix theory, methods & applications) are covered very
well ... excellent text.'
Adi Ben-Israel, Rutgers University, IMAGE, Volume 2, Number 2,
(Issue 8) January 1992
'This book was found to be a very useful reference for matrix
mehods and theories. The range of topics covered is large. This is
an attractive book providing a down-to-earth approach and will
especially meet the matrix theory requirements of both
undergraduate and postgraduate science and engineering students. At
#17.50 and 450 printed pages it represents good value for
money.'
A.A.P. Gibson, UMIST, International Journal of Electrical
Engineering Education, Volume 29, No. 3
'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
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