Name
Title | ||
|---|---|---|
Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space |
Abstract | ||
|---|---|---|
The aim of this paper is to develop stepwise variable preconditioning for the iterative solution of monotone operator equations in Hilbert space and apply it to nonlinear elliptic problems. The paper is built up to reflect the common character of preconditioned simple iterations and quasi-Newton methods. The main feature of the results is that the preconditioners are chosen via spectral equivalence. The latter can be executed in the corresponding Sobolev space in the case of elliptic problems, which helps both the construction and convergence analysis of preconditioners. This is illustrated by an example of a preconditioner using suitable domain decomposition. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1137/S0036142901384277 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
common character,hilbert space,main feature,quasi-newton method,nonlinear problems,variable preconditioning,corresponding sobolev space,iterative solution,quasi-newton methods,preconditioned simple iteration,elliptic problem,convergence analysis,monotone operator equation,quasi newton method | Hilbert space,Mathematical optimization,Quasi-Newton method,Nonlinear system,Preconditioner,Mathematical analysis,Iterative method,Sobolev space,Mathematics,Elliptic curve,Domain decomposition methods | Journal |
Volume | Issue | ISSN |
41 | 4 | 0036-1429 |
Citations | PageRank | References |
7 | 1.25 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| János Karátson | 1 | 109 | 20.49 |
| István Faragó | 2 | 62 | 21.50 |