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Applied matrix models. A second course in linear algebra with computer applications. (English) Zbl 0558.65014

A Wiley-Interscience Publication. New York - Chichester etc.: John Wiley & Sons. X, 240 p. £41.75 (1985).
This book follows an idea, which is typical for the situation in numerous applications of numerical linear algebra: one has a problem in physics or engineering to solve and a mathematical software package at hand. For the basic linear algebra problems the way from the application to the FORTRAN-program, which calls the relative LINPACK-subroutines, is shown. The book is neither a course in numerical linear algebra nor in programming the respective algorithms. A basic knowledge in linear algebra is assumed, but the fundamentals of vector and matrix algebra are reviewed. Unfortunately a random sample brings a lot of printing errors to light. The scope of the book is best shown by the following headings: Systems with a unique solution (resistor-battery-network), systems with many solutions (network flow), overdetermined systems (data fitting), discrete time system evolution (eigenproblems, Markov processes), continuous time system evolution (systems of differential equations).
Reviewer: N.Köckler

MSC:

65Fxx Numerical linear algebra
15-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra
65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
15-04 Software, source code, etc. for problems pertaining to linear algebra
65D10 Numerical smoothing, curve fitting
93C25 Control/observation systems in abstract spaces
93C15 Control/observation systems governed by ordinary differential equations