A regularized smoothing-type algorithm for solving a system of inequalities with a \(P_{0}\)-function (Q847242)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A regularized smoothing-type algorithm for solving a system of inequalities with a \(P_{0}\)-function |
scientific article; zbMATH DE number 5669199
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A regularized smoothing-type algorithm for solving a system of inequalities with a \(P_{0}\)-function |
scientific article; zbMATH DE number 5669199 |
Statements
A regularized smoothing-type algorithm for solving a system of inequalities with a \(P_{0}\)-function (English)
0 references
12 February 2010
0 references
The authors study a system of nonlinear inequalities. They propose a regularized smoothing Newton algorithm to solve smooth equations. They also prove that the proposed algorithm converges globally and superlinearly under mild conditions. The efficiency of the algorithm is supported by numerical experiments. The system of nonlinear inequalities can be applied to the study of variational inequality and complementarity problems. The paper will lead the researchers near the frontiers of knowledge in the field of nonlinear functional analysis.
0 references
system of nonlinear inequalities
0 references
regularized smoothing Newton algorithm
0 references
superlinear convergence
0 references
local quadratic convergence
0 references
numerical experiments
0 references
variational inequality
0 references
complementarity problem
0 references
0 references
0 references
