Name
Abstract | ||
|---|---|---|
This paper concerns the solutions of very large symmetric semipositive definite (singular) linear systems involved in the problem of optimal surface parameterizations using inverse curvature mapping. Two approaches are presented that transform the singular linear systems into two kinds of symmetric positive definite linear systems, so that the famous Conjugate Gradient (CG) method can be used for solving them. Numerical experiments are run on two practical large problems to illustrate that the CG algorithm works very efficiently. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1080/00207160802275951 | Int. J. Comput. Math. |
Keywords | Field | DocType |
positive definite linear system,paper concern,numerical experiment,singular linear system,practical large problem,inverse curvature mapping,linear system,optimal surface parameterizations,famous conjugate gradient,conjugate gradient method,cg algorithm,optimal surface,krylov subspace,conjugate gradient,positive definite | Conjugate gradient method,Gradient method,Mathematical optimization,Linear system,Mathematical analysis,Symmetric rank-one,Nonlinear conjugate gradient method,Mathematics,Derivation of the conjugate gradient method,Conjugate residual method,Biconjugate gradient method | Journal |
Volume | Issue | ISSN |
87 | 5 | 0020-7160 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhongxiao Jia | 1 | 121 | 18.57 |