Name
Title | ||
|---|---|---|
Pseudotransient Continuation for Solving Systems of Nonsmooth Equations with Inequality Constraints |
Abstract | ||
|---|---|---|
This paper investigates a pseudotransient continuation algorithm for solving a system of nonsmooth equations with inequality
constraints. We first transform the inequality constrained system of nonlinear equations to an augmented nonsmooth system,
and then employ the pseudotransient continuation algorithm for solving the corresponding augmented nonsmooth system. The method
gets its global convergence properties from the dynamics, and inherits its local convergence properties from the semismooth
Newton method. Finally, we illustrate the behavior of our approach by some numerical experiments. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s10957-010-9719-9 | J. Optimization Theory and Applications |
Keywords | Field | DocType |
nonlinear equations with inequality constraints · pseudotransient continuation · semismooth newton method · global convergence,nonlinear equation,local convergence | Convergence (routing),Mathematical optimization,Nonlinear system,Continuation,Inequality,Local convergence,Predictor–corrector method,Mathematics,Newton's method | Journal |
Volume | Issue | ISSN |
147 | 2 | 15732878 |
Citations | PageRank | References |
1 | 0.35 | 23 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jinhai Chen | 1 | 13 | 3.55 |
| Liqun Qi | 2 | 3155 | 284.52 |