NITSOL - A NEWTON ITERATIVE SOLVER FOR NONLINEAR-SYSTEMS

Citation
M. Pernice et Hf. Walker, NITSOL - A NEWTON ITERATIVE SOLVER FOR NONLINEAR-SYSTEMS, SIAM journal on scientific computing, 19(1), 1998, pp. 302-318
Citations number
33
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
10648275
Volume
19
Issue
1
Year of publication
1998
Pages
302 - 318
Database
ISI
SICI code
1064-8275(1998)19:1<302:N-ANIS>2.0.ZU;2-A
Abstract
We introduce a well-developed Newton iterative (truncated Newton) algo rithm for solving large-scale nonlinear systems. The framework is an i nexact Newton method globalized by backtracking. Trial steps are obtai ned using one of several Krylov subspace methods. The algorithm is imp lemented in a Fortran solver called NITSOL that is robust yet easy to use and provides a number of useful options and features. The structur e offers the user great flexibility in addressing problem specificity through preconditioning and other means and allows easy adaptation to parallel environments. Features and capabilities are illustrated in nu merical experiments.