id: 06255379
dt: b
an: 2015b.00921
au: Quarteroni, Alfio; Saleri, Fausto; Gervasio, Paola
ti: Scientific computing with MATLAB and Octave. 4th ed.
so: Texts in Computational Science and Engineering 2. Berlin: Springer (ISBN
978-3-642-45366-3/hbk; 978-3-642-45367-0/ebook). xviii, 442~p. (2014).
py: 2014
pu: Berlin: Springer
la: EN
cc: N15
ut: scientific computing; numerical mathematics
ci: Zbl 1205.65002
li: doi:10.1007/978-3-642-45367-0
ab: 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 Newtonâ€™s method, quasi-Newton 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)].
rv: Robert Plato (Siegen)