Matrix algebra. Using MINImal MATlab. Incl. 1 disk. (English) Zbl 0817.15001

Robbin, Joel W.

Wellesley, MA: A. K. Peters,. xvi, 544 p. (1995).

This is a textbook for a two-semester course on matrix algebra for beginners, with the computer integrated into the course by describing the basic algorithms in MINIMAT (Minimal MATLAB) extracted from MATLAB, whose knowledge is not presupposed. A thirty-page introduction to MINIMAT is given in the Appendix and applications for the computer are included throughout the book.
The selection, arrangement, and presentation of the material follows the pattern traditional in a course of that type. This includes the usual matrix operations, subspaces, rank, inner product, norm, Gram-Schmidt, least squares, determinants, eigenvalues, application to differential equations, matrix power series, complex matrices, LU-decomposition, and Jordan normal form, given about in this order. The book contains many exercises in virtually all sections.

Reviewer: E.Kreyszig (Ottawa)

MSC:

15-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra
15-04	Software, source code, etc. for problems pertaining to linear algebra
65Fxx	Numerical linear algebra
15A21	Canonical forms, reductions, classification
15A03	Vector spaces, linear dependence, rank, lineability
15A60	Norms of matrices, numerical range, applications of functional analysis to matrix theory
15A63	Quadratic and bilinear forms, inner products
15A15	Determinants, permanents, traces, other special matrix functions
15A18	Eigenvalues, singular values, and eigenvectors

Keywords:

minimal MATLAB; Gram-Schmidt orthogonalization; textbook; matrix algebra; algorithms; MINIMAT; rank; inner product; norm; least squares; determinants; eigenvalues; matrix power series; LU-decomposition; Jordan normal form; exercises

Software:

Matlab