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Numerics of linear systems of equations. An introduction to modern methods. With MATLAB-implementations by C. Vömel. 5th revised ed. (Numerik linearer Gleichungssysteme. Eine Einführung in moderne Verfahren. Mit MATLAB-Implementierungen von C. Vömel.) (German) Zbl 1310.65001

Heidelberg: Springer Spektrum (ISBN 978-3-658-07199-8/pbk; 978-3-658-07200-1/ebook). xii, 276 p. (2015).
Publisher’s description: See the review of the 4th edition in [(2011; Zbl 1211.65040)].

MSC:

65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
65F10 Iterative numerical methods for linear systems
65F05 Direct numerical methods for linear systems and matrix inversion
65N06 Finite difference methods for boundary value problems involving PDEs
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65F35 Numerical computation of matrix norms, conditioning, scaling
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation

Software:

Matlab
Full Text: DOI