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Abstract
A purely algebraic method is presented to construct preconditioned for symmetric positive definite H-matrices. The main technique is H-compatible splitting and diagonal compensation reduction. Associated with some special matrix polynomials, under certain condition, this method is optimal with respect to the rate of convergence and computational complexity. Numerical results that illustrate these properties are provided.
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The first author is supported by Fujian Province Nature Science Foundation of China, Doctoral Point Foundation of China; the second author is supported by the State Major Key Project for Basic Researches and the Doctoral Point Foundation of China.
The first author is supported by Fujian Province Nature Science Foundation of China, Doctoral Point Foundation of China; the second author is supported by the State Major Key Project for Basic Researches and the Doctoral Point Foundation of China.
Notes
The first author is supported by Fujian Province Nature Science Foundation of China, Doctoral Point Foundation of China; the second author is supported by the State Major Key Project for Basic Researches and the Doctoral Point Foundation of China.