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Alternating iterative scheme for the solution of block-structured systems

Šípek, JanZítko, Jan — 2004

Programs and Algorithms of Numerical Mathematics

We consider the solution of linear system with a block-structured matrix of saddle point type. The solution technique is based on the idea of the classical alternating-direction implicit iterative method where symmetric-antisymmetric splitting of the coefficient matrix is used. To find an optimal parameter for solving the system with a symmetric matrix, the polynomial filters are considered. The CGW method is used for systems with skew-symmetric matrix. The numerical tests compare the results obtained...

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