Title | ||
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A note on semi-convergence of generalized parameterized inexact Uzawa method for singular saddle point problems |
Abstract | ||
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Recently, Zhang and Wang studied the generalized parameterized inexact Uzawa (GPIU) method for singular saddle point problems, see Zhang and Wang (Appl. Math. Comput. 219:4225---4231, 2013). In this note, we prove the semi-convergence of GPIU method by another method, which has weaken the conditions of GPIU method. Then, we analyze the spectral properties of the corresponding preconditioned matrix. Moreover, for solving singular saddle point problems, we give a preconditioned matrix for GPIU method, numerical experiments are given to illustrate the efficiency of GPIU method with the preconditioned matrix. |
Year | DOI | Venue |
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2015 | 10.1007/s11075-014-9840-1 | Numerical Algorithms |
Keywords | Field | DocType |
Singular saddle point problems,Parameterized inexact Uzawa method,Semi-convergence,Preconditioned matrix,65F08,65F10,65F35 | Convergence (routing),Spectral properties,Mathematical optimization,Parameterized complexity,Saddle point,Mathematical analysis,Matrix (mathematics),Mathematics | Journal |
Volume | Issue | ISSN |
68 | 1 | 1017-1398 |
Citations | PageRank | References |
2 | 0.36 | 19 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Zhen Chao | 1 | 17 | 3.03 |
Guoliang Chen | 2 | 305 | 46.48 |