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International Journal of Computer Mathematics Volume 81, 2004 - Issue 9
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Multiple search direction conjugate gradient method I: methods and their propositions

Tongxiang Gu Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, P.R. China; Supercomputing Center of Computer Network Information Center, Chinese Academy of Science, P.O. Box 349, Beijing, 100080, P.R. ChinaCorrespondence[email protected]
,
Xingping Liu Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, P.R. China
,
Zeyao Mo Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, P.R. China
&
Xuebin Chi Supercomputing Center of Computer Network Information Center, Chinese Academy of Science, P.O. Box 349, Beijing, 100080, P.R. China
Pages 1133-1143 | Received 24 Sep 2003, Accepted 10 Mar 2004, Published online: 25 Jan 2007

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Zhao-Yan Li & Yong Wang. (2010) Iterative algorithm for minimal norm least squares solution to general linear matrix equations. International Journal of Computer Mathematics 87:11, pages 2552-2567.
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Li-Tao Zhang, Xian-Yu Zuo, Tong-Xiang Gu, Ting-Zhu Huang & Jiang-Hua Yue. (2010) Conjugate residual squared method and its improvement for non-symmetric linear systems. International Journal of Computer Mathematics 87:7, pages 1578-1590.
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Bin Zhou, James Lam & Guang-Ren Duan. (2010) Gradient-based maximal convergence rate iterative method for solving linear matrix equations. International Journal of Computer Mathematics 87:3, pages 515-527.
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Xingping Liu, Tongxiang Gu, Zhiqiang Sheng & Xudeng Hang. (2005) Improved QMRCGSTAB method in distributed parallel environments. International Journal of Computer Mathematics 82:9, pages 1141-1148.
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Articles from other publishers (15)

Zaid Albataineh. (2020) Low-Complexity Near-Optimal Iterative Signal Detection Based on MSD-CG Method for Uplink Massive MIMO Systems. Wireless Personal Communications 116:3, pages 2549-2563.
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Sophie M. Moufawad. (2020) s-Step Enlarged Krylov Subspace Conjugate Gradient Methods. SIAM Journal on Scientific Computing 42:1, pages A187-A219.
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Zaid Albataineh. (2019) Iterative Signal Detection Based on MSD-CG Method for Uplink Massive MIMO Systems. Iterative Signal Detection Based on MSD-CG Method for Uplink Massive MIMO Systems.
Zhipeng Lin, Wenjing Yang, Houcun Zhou, Xinhai Xu, Liaoyuan Sun, Yongjun Zhang & Yuhua Tang. (2018) Communication Optimization for Multiphase Flow Solver in the Library of OpenFOAM. Water 10:10, pages 1461.
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Xian-Yu Zuo, Li-Tao Zhang, Tong-Xiang Gu, Feng-Bin Zheng & Ning Li. (2014) A parallel version of GPBi-CG method suitable for distributed parallel computing. Computational and Applied Mathematics 35:2, pages 579-593.
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Laura Grigori, Sophie Moufawad & Frederic Nataf. (2016) Enlarged Krylov Subspace Conjugate Gradient Methods for Reducing Communication. SIAM Journal on Matrix Analysis and Applications 37:2, pages 744-773.
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Li-Tao Zhang, Xian-Yu Zuo, Tong-Xiang Gu & Xing-Ping Liu. (2014) A parallel generalized global conjugate gradient squared algorithm for linear systems with multiple right-hand sides. Computational and Applied Mathematics 34:3, pages 901-916.
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Tong-Xiang Gu, Jia-Min Wang, Xian-Yu Zuo, Bing Yang & Xing-Ping Liu. (2014) RETRACTED ARTICLE: Formal derivation of biconjugate gradient method with its modification for distributed parallel computing. Journal of Engineering Mathematics 91:1, pages 213-213.
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Li-Tao Zhang, Xiao-Na Dong, Tong-Xiang Gu, Xian-Yu Zuo & Xing-Ping Liu. (2015) An improved generalized conjugate residual squared (IGCRS2) algorithm suitable for distributed parallel computing. Japan Journal of Industrial and Applied Mathematics 32:1, pages 143-155.
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Xian-Yu Zuo, Li-Tao Zhang & Tong-Xiang Gu. (2014) An improved generalized conjugate residual squared algorithm suitable for distributed parallel computing. Journal of Computational and Applied Mathematics 271, pages 285-294.
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Sheng-Xin Zhu, Tong-Xiang Gu & Xing-Ping Liu. (2014) Minimizing synchronizations in sparse iterative solvers for distributed supercomputers. Computers & Mathematics with Applications 67:1, pages 199-209.
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Xian-yu Zuo, Tong-xiang Gu & Ze-yao Mo. (2010) An improved GPBi-CG algorithm suitable for distributed parallel computing. Applied Mathematics and Computation 215:12, pages 4101-4109.
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Tong-Xiang Gu, Xian-Yu Zuo, Xing-Ping Liu & Pei-Lu Li. (2009) An improved parallel hybrid bi-conjugate gradient method suitable for distributed parallel computing. Journal of Computational and Applied Mathematics 226:1, pages 55-65.
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Tong-xiang Gu, Xian-yu Zuo, Li-tao Zhang, Wan-qin Zhang & Zhi-qiang Sheng. (2007) An improved bi-conjugate residual algorithm suitable for distributed parallel computing. Applied Mathematics and Computation 186:2, pages 1243-1253.
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Robert Bridson & Chen Greif. (2006) A Multipreconditioned Conjugate Gradient Algorithm. SIAM Journal on Matrix Analysis and Applications 27:4, pages 1056-1068.
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