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M-preconditioner for M-matrices
Applied Mathematics and Computation, 2006The paper deals with the development and analysis of a preconditioner for the conjugate gradient approach to symmetric linear algebraic systems with a nonsingular \(M\)-matrix as coefficient matrix. Numerical results illustrate the convergence behavior of the new preconditioned conjugate gradient method.
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Preconditioner Design via Bregman Divergences
SIAM Journal on Matrix Analysis and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andreas A. Bock, Martin S. Andersen
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Some Properties of the Optimal Preconditioner and the Generalized Superoptimal Preconditioner
Numerical Mathematics: Theory, Methods and Applications, 2010The optimal preconditioner and the superoptimal preconditioner were proposed in 1988 and 1992 respectively. They have been studied widely since then. Recently, Chen and Jin [6] extend the superoptimal preconditioner to a more general case by using the Moore-Penrose inverse.
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Multithreaded Direction Preserving Preconditioners
2014 IEEE 13th International Symposium on Parallel and Distributed Computing, 2014The scalability and robustness of a class of nonoverlapping domain decomposition preconditioners using 2-way nested dissection reordering is studied. We consider two different factorizations: nested and block versions. Both these variants have advantages and disadvantages.
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Some Relationships between Optimal Preconditioner and Superoptimal Preconditioner
2010Jian-Biao Chen +3 more
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Statistically inspired preconditioners
2007Daniela Calvetti, Erkki Somersalo
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