The updated subspaces method in optimization and in solving linear systems of equations

The Updated Conjugate Subspaces method, an modified quasi-Newton method for solving nonlinear unconstrained minimization problems, has flexibility of choosing different quadratic approximation at each iteration and therefore has potential of improving the rate of convergence given by the quasi-Newton method. In this dissertation, the convergence behavior of the UCS method is investigated and the further development of this method in solving the nonlinear unconstrained minimizations, the partially separable minimizations and the linear systems of equations is presented.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Chen, Mei-Qin

• Mathematics
• Operations Research
• Computer Science

Statement dc:rights

• Copyright 1989 Chen, Mei-Qin

Language dc:language

eng

Identifier

AAI9010826
(UMI)AAI9010826

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/21103