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Article
Element-by-Element Schur Complement Approximations for General Nonsymmetric Matrices of Two-by-Two Block Form
| Authors: |
Neytcheva, M., He, X., Do-Quang, M. |
| Document Type: |
Article |
| Pubstate: |
Published |
| Journal: |
Lecture Notes in Computer Science |
| Volume: |
5910
108 |
| Year: |
2010 |
AbstractWe consider element-by-element Schur complement approximations for indefinite and general nonsymmetric matrices of two-by-two block form, as arising in finite element discretized systems of PDEs. The paper provides some analysis of the so-obtained approximation and attempts to quantify the quality of the underlying two-by-two matrix splitting in a way similar to that used for symmetric positive definite matrices. The quality of the approximation is illustrated numerically.
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