A new family of global methods for linear systems with multiple right-hand sides |
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Authors: | Jianhua Zhang Hua DaiJing Zhao |
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Institution: | a Department of Mathematics, Anhui Science and Technology University, Fengyang 233100, Chinab Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China |
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Abstract: | The global bi-conjugate gradient (Gl-BCG) method is an attractive matrix Krylov subspace method for solving nonsymmetric linear systems with multiple right-hand sides, but it often show irregular convergence behavior in many applications. In this paper, we present a new family of global A-biorthogonal methods by using short two-term recurrences and formal orthogonal polynomials, which contain the global bi-conjugate residual (Gl-BCR) algorithm and its improved version. Finally, numerical experiments illustrate that the proposed methods are highly competitive and often superior to originals. |
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Keywords: | Matrix Krylov subspace Multiple right-hand sides Gl-BCG Nonsymmetric linear systems Gl-BCR Gl-CRS |
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