
06255379
b
2015b.00921
Quarteroni, Alfio
Saleri, Fausto
Gervasio, Paola
Scientific computing with MATLAB and Octave. 4th ed.
Texts in Computational Science and Engineering 2. Berlin: Springer (ISBN 9783642453663/hbk; 9783642453670/ebook). xviii, 442~p. (2014).
2014
Berlin: Springer
EN
N15
scientific computing
numerical mathematics
Zbl 1205.65002
doi:10.1007/9783642453670
The fourth English edition of this textbook contains a new chapter on the minimization of functions of one and severable variables. For unconstrained minimization, derivative free methods like the golden section method, quadratic interpolation method and the Nelder and Mead method are considered first. It is followed by a presentation of descent methods such as Newton's method, quasiNewton methods, gradient methods, and conjugate gradient methods. Nonlinear least squares methods and trust region methods are also covered. For the constrained minimization of functions, penalty term methods and augmented Lagrangian methods are treated. As for the other chapters of this text, this new chapter also contains applications from different areas, examples, illustrations, MATLAB/Octave codes and exercises. In addition, new sections are added in some other chapters. For the third edition see [(2010; Zbl 1205.65002)].
Robert Plato (Siegen)