SOLVING NONLINEAR-SYSTEMS USING A GLOBAL - LOCAL-PROCEDURE

Authors
SHI YX
Citation
Yx. Shi, SOLVING NONLINEAR-SYSTEMS USING A GLOBAL - LOCAL-PROCEDURE, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 539-540
Citations number
5
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
76
Year of publication
1996
Supplement
1
Pages
539 - 540
Database
ISI
SICI code
0044-2267(1996)76:<539:SNUAG->2.0.ZU;2-A
Abstract
A new global-local procedure for solving nonlinear systems is proposed . Each iteration of the procedure is a combination of an approximate N ewton step and a descending step for minimizing the square-sum objecti ve function. Starting with an arbitrary initial point, the procedure c onverges either to a solution of the system or to a local minimizer of the square-sum. When converging io a solution of the system, the loca l quadratic rate is achieved.