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We consider to solve a linear system of equations Ax = b by iterative method. Product-type of iterative methods such as GPBiCG, BiCGSafe and GPBiCG AR method constitute a sequence of polynomial by mul...tiplying Lanczos polynomials by acceleration polynomial. In this paper, we focus on the order of the development of recurrence for GPBiCG method, and propose a GPBiCGSafe method by improving GPBiCG AR method. Through numerical experiments, we make clear that the GPBiCGSafe method has excellent convergence rate and robustness.show more
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