Abstract | ||
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. Three conjugate gradient accelerated row projection (RP) methods for nonsymmetriclinear systems are presented and their properties described. One method is based on Kaczmarz'smethod and has an iteration matrix that is the product of orthogonal projectors; another is basedon Cimmino's method and has an iteration matrix that is the sum of orthogonal projectors. A newRP method which requires fewer matrix-vector operations, explicitly reduces the problem size, is errorreducing in the 2-norm, ... |
Year | DOI | Venue |
---|---|---|
1992 | 10.1137/0913010 | SIAM Journal on Scientific and Statistical Computing - Special issue on iterative methods in numerical linear algebra |
Keywords | Field | DocType |
large nonsymmetric linear system,row projection method,conjugate gradient,projection method,iterative methods | Conjugate gradient method,Mathematical optimization,Linear system,Matrix (mathematics),Iterative method,Robustness (computer science),Kaczmarz method,Mathematics,Derivation of the conjugate gradient method,Conjugate residual method | Journal |
Volume | Issue | ISSN |
13 | 1 | 0196-5204 |
Citations | PageRank | References |
30 | 5.02 | 4 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Randall Bramley | 1 | 475 | 66.02 |
Ahmed H. Sameh | 2 | 297 | 139.93 |