ALGORITHM-777 - HOMPACK90 - A SUITE OF FORTRAN-90 CODES FOR GLOBALLY CONVERGENT HOMOTOPY ALGORITHMS

Citation
Lt. Watson et al., ALGORITHM-777 - HOMPACK90 - A SUITE OF FORTRAN-90 CODES FOR GLOBALLY CONVERGENT HOMOTOPY ALGORITHMS, ACM transactions on mathematical software, 23(4), 1997, pp. 514-549
Citations number
105
Language
INGLESE
art.tipo
Review
ISSN journal
0098-3500
Volume
23
Issue
4
Year of publication
1997
Pages
514 - 549
Database
ISI
SICI code
0098-3500(1997)23:4<514:A-H-AS>2.0.ZU;2-5
Abstract
HOMPACK90 is a Fortran 90 version of the Fortran 77 package HOMPACK (A lgorithm 652), a collection of codes for finding zeros or fixed points of nonlinear systems using globally convergent probability-one homoto py algorithms. Three qualitatively different algorithms-ordinary diffe rential equation based, normal flow, quasi-Newton augmented Jacobian m atrix-are provided for tracking homotopy zero curves, as well as separ ate routines for dense and sparse Jacobian matrices. A high level driv er for the special case of polynomial systems is also provided. Change s to HOMPACK include numerous minor improvements, simpler and more ele gant interfaces, use of modules, new end games, support for several sp arse matrix data structures, and new iterative algorithms for large sp arse Jacobian matrices.