ON A FAMILY OF PARALLEL ROOT-FINDING METHODS FOR GENERALIZED POLYNOMIALS

Authors
HUANG ZD ZHENG SM
Citation
Zd. Huang et Sm. Zheng, ON A FAMILY OF PARALLEL ROOT-FINDING METHODS FOR GENERALIZED POLYNOMIALS, Applied mathematics and computation, 91(2-3), 1998, pp. 221-231
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
91
Issue
2-3
Year of publication
1998
Pages
221 - 231
Database
ISI
SICI code
0096-3003(1998)91:2-3<221:OAFOPR>2.0.ZU;2-C
Abstract
We adapt the family of Hansen-Patrick methods for simultaneous finding all zeros of generalized polynomials in P-T(n;I) or finding n zeros o f generalized polynomials in P-E(n) and discuss their convergence. The numerical stability of the methods in the presence of rounding errors is analyzed and some numerical results are included. (C) 1998 Elsevie r Science Inc. All rights reserved.