Numerical mathematics. 3., überarb. u. erw. Aufl. (Numerische Mathematik. Mit e. Beitrag von Jörg Waldvogel.) (German) Zbl 0804.65001

Stuttgart: Teubner. 575 p. DM 48.00; öS 375.00 / pbk (1993).
The third edition of this favorite textbook (for the first edition from 1986 cf. Zbl 0587.65001) contains a series of changements, in particular: A new foundation of Householder’s method concerning the least squares problem, an improvement and extension of the numerical methods for ordinary differential equations, and a new chapter concerning the iterative solution of large linear systems of algebraic equations with the topics: Total-step method, single-step method, optimal relaxation parameter and overrelaxation, conjugate gradient method, convergence theorems, preconditioning technique, minimal residues, storage of sparse matrices. Moreover, about 50 new papers and books are quoted.
Reviewer: L.Berg (Rostock)


65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis


Zbl 0587.65001