Magid, Andy R. 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 Keywords:dynamic models; LINPACK-subroutines; resistor-battery-network; network flow; overdetermined systems; data fitting; discrete time system evolution; eigenproblems; Markov processes; continuous time system evolution; systems of differential equations PDFBibTeX XML