Name
Abstract | ||
|---|---|---|
This note revisits the progressive iteration approximation property and some recent modifications from the point of view of iterative methods for solving linear systems. In particular we show the connection with the classical Richardson iteration and modified Richardson iteration. We propose to use GMRES as an alternative iterative method. Numerical experiments achieve much better approximations with only few iterations, which can be explained by an interpretation of the GMRES method. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.cagd.2011.09.005 | Computer Aided Geometric Design |
Keywords | Field | DocType |
numerical experiment,modified richardson iteration,linear system,classical richardson iteration,gmres method,better approximation,recent modification,iterative method,alternative iterative method,alternative iteration,progressive iteration approximation property,iterative methods,gmres,interpolation | Mathematical optimization,Modified Richardson iteration,Preconditioner,Generalized minimal residual method,Iterative method,Arnoldi iteration,Fixed-point iteration,Approximation property,Power iteration,Mathematics | Journal |
Volume | Issue | ISSN |
28 | 9 | 0167-8396 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. M. Carnicer | 1 | 97 | 22.47 |
| J. Delgado | 2 | 107 | 17.39 |
| J. M. Peña | 3 | 681 | 72.88 |