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Numerical mathematics. 3rd revised and expanded ed. (Numerische Mathematik.) (German) Zbl 1254.65001
München: Oldenbourg Verlag (ISBN 978-3-486-70820-2/hbk; 978-3-486-71970-3/ebook). xiv, 563 p. (2011).
For the intents and contents of the second edition see the previous review (2006; Zbl 1108.65001). In comparison this third edition has been revised and extended. To the chapter on numerical treatment of systems of nonlinear equations, a section on nonlinear fitting problems is added. In the center, there are the Gauss-Newton method, general methods of descent, the trust-region strategy and the Levenberg-Marquardt method. More MATLAB programs are taken into the text and codes already present are revised again.

65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
65Dxx Numerical approximation and computational geometry (primarily algorithms)
65Fxx Numerical linear algebra
65Hxx Nonlinear algebraic or transcendental equations
65G50 Roundoff error
65Txx Numerical methods in Fourier analysis
65Y15 Packaged methods for numerical algorithms
68W30 Symbolic computation and algebraic computation