郭学萍 - 华东师范大学 - 数学科学学院

研究领域

Numerical linear and nonlinear algebras Numerical optimization methods and theories Numerical partial differential equations Image processing

近期论文

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A. Hadjidimos and X.-P. Guo, Optimal Accelerated SOR-like (ASOR) method for singular saddle point problems，preprint. T.-T. Feng，G.-L. Chen and X.-P. Guo，An Accelerated SOR-Like Method for Generalised Saddle Point Problems，East Asia Journal on Applied Mathematics，8(2018)1, 70-81. H.-X. Zhong, G.-L. Chen and X.-P. Guo，Convergence of the Newton-HSS Method under the Lipschitz Condition with the L-average,Journal of Computational Analysis & Applications，25(2018)5,952-964. J. Wang, X.-P. Guo and H.-X. Zhong, DPMHSS Iterative Method for Systems of Nonlinear Equations with Block Two-by-Two Complex Jacobian Matrices, Numerical Algorithms, 77(2018)1,167-184. Y. Li and X.-P. Guo, Semilocal convergence analysis for the MMN-HSS methods under the H?lder conditions, East Asia Journal on Applied Mathematics, 7(2017)2, 396-416. Y. Li and X.-P. Guo, Multi-step modified Newton-HSS methods for systems of nonlinear equations with positive definite Jacobian matrices, Numerical Algorithms, 75(2017)1, 55-80. J. Wang, X.-P. Guo and H.-X. Zhong, Accelerated GPMHSS method for solving complex systems of linear equations, East Asia Journal on Applied Mathematics, 7 (2017) 1, 143-155. X.-P. Guo, Convergence Studies on Block-iterative Algorithms for Image Reconstructions，Applied Mathematics and Computation，273 (2016), 525–534. P. N. Njeru and X.-P. Guo, Accelerated SOR-like method for augmented linear systems, BIT Numerical Mathematics, 56(2016)2, 557–571. H.-L. Cai and X.-P. Guo，A new adaptive penalty function in the application of genetic Algorithm, J. East China Norm. Univ. Natur. Sci. Ed., 6（2015), 36-45. 　 H.-X. Zhong, G.-L. Chen and X.-P. Guo，On Preconditioned Modified Newton-MHSS Method for Systems of Nonlinear Equations with Complex Symmetric, Numerical Algorithms, 69(2015), 553-567. H.-X. Zhong, G.-L. Chen and X.-P. Guo, Semilocal convergence theorem by using majorizing functions for Harmonic mean Newton's method in Banach spaces，Journal of Computational Analysis & Applications，16（2014）1,850-859. M. Benzi and X.-P. Guo, A dimensional split preconditioner for Stokes and linearized Navier-Stokes equations, Applied Numerical Mathematics, 61 (2011), 66-76. X.-P. Guo and I. S. Duff, Semilocal and global convergence of the Newton-HSS method for systems of nonlinear equations, Numer. Linear Algebra Appl., 18(2011)3, 299-315. Z.-Z. Bai and X.-P. Guo, On Newton-HSS Methods for Systems of Nonlinear Equations with Positive-Definite Jacobian Matrices, Journal of Computational Mathematics, 28(2010)2, 235-260. X.-P. Guo, On Semilocal Convergence of Inexact Newton Methods，Journal of Computational Mathematics, 25(2007)2, 231-242. X.-P. Guo, J. Feng, Convergence of a deformed Newton's method, Journal of Zhejiang University (Science Edition), 33(2006)4，389-392. X.-P. Guo, Convergence ball of iterations with one parameter, Appl. Math. J. Chinese Univ. Ser. B, 20 (2005) 4, 462--468. 　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　 X.-P. Guo, The convergence for two types of generalized iterations, J. East China Norm. Univ. Natur. Sci. Ed., (2002) 3, 7-13. X.-P. Guo, Convergence and error estimates for the inverse-free deformation Newton's iteration, Journal of Zhejiang University (Science Edition), 28(2001)4, 377-383. X.-P. Guo, The convergence for the second-order derivative free iterations, Chinese Journal of Engineering Mathematics, 18(2001)4, 29-34.　　　　　　　　　　　　　　　　　　　 X.-P. Guo, On the convergence of Newton's method in Banach space, Journal of Zhejiang University (Science Edition), 27(2000)5, 484-492.　　　　　　　　　　　　　　　　 X.-H. Wang, X. -P. Guo, On the unified determination for the convergence of Newton's method and its deformations, Numerical Mathematics, A Journal of Chinese University, (1999) 4, 363-368.　