33. L.-Z. Tan, M.-Y. Deng, J.-L. Qiu and X.-P. Guo, On the adaptive deterministic block coordinate descent methods with momentum for solving large linear least-squares problems, 2024, preprint.
32.L.-Z. Tan, X.-P. Guo, M.-Y. Deng and J.-R. Chen, On the adaptive deterministic block Kaczmarz method with momentum for solving large-scale consistent linear systems, 2023, preprint.
31. L.-Z. Tan, M.-Y. Deng and X.-P. Guo, On multi-step greedy Kaczmarz method for solving large sparse consistent linear systems, Communications on Applied Mathematics and Computation, (Online), 03/2024.
30. L.-Z. Tan and X.-P. Guo, On multi-step greedy randomized coordinate descent method for solving large linear least-squares problems, Computational and Applied Mathematics, 42(2023)37, 1-20.
29. M.-Y. Deng, W.-Y. Ding and X.-P. Guo, Modified splitting methods for solving non-homogenous multi-linear equations with m-tensors, Pacific Journal of optimization, 18(2022)1, 91-117.
28. M.-J. Jiang and X.-P. Guo, A New Parameter-Free Method for Toeplitz Systems of Weakly Nonlinear Equations，Journal of Computational and Applied Mathematics, 235 (2021) 5095–5104.
27. X.-P. Guo and A. Hadjidimos, Optimal Accelerated SOR-like (ASOR) method for singular saddle point problems，Journal of Computational and Applied Mathematics, 2020 (370), 112662.
26. M.-Y. Deng and X.-P. Guo, On HSS-Based Iteration Methods for Two Classes of Tensor Equations, East Asia Journal on Applied Mathematics，(2020)10: 381 - 398. doi:10.4208/eajam.140819.071019.
25. H.-X. Zhong, G.-L. Chen and X.-P. Guo，Semi-local convergence of the Newton-HSS method under the center Lipschitz condition, Numerical Algebra, Control & Optimization, 9 (2019)1, 85-99.
24. T.-T. Feng，X.-P. Guo and G .-L. Chen, A modified ASOR-like method for augmented linear systems，Numerical Algorithms, (2019) 82:1097–1115.
23. 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.
22. Y.-M. Li and X.-P. Guo, On the accelerated modified Newton-HSS method for systems of nonlinear equations，Numerical Algorithms, 79(2018)4, 1049-1073.
21. 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.
20. 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.
19. 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.
18. 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.
17. 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.
16. X.-P. Guo, Convergence Studies on Block-iterative Algorithms for Image Reconstructions，Applied Mathematics and Computation，273 (2016), 525–534.
15. P. N. Njeru and X.-P. Guo, Accelerated SOR-like method for augmented linear systems, BIT Numerical Mathematics, 56(2016)2, 557–571.
14. 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.
13. 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.
12. 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.
11. M. Benzi and X.-P. Guo, A dimensional split preconditioner for Stokes and linearized Navier-Stokes
equations, Applied Numerical
Mathematics, 61 (2011), 66-76. PDF File
10. 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. PDF File
9. 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. PDF File
8. X.-P. Guo, On Semilocal Convergence
of Inexact Newton
Methods，Journal of Computational Mathematics,
25(2007)2, 231-242.
PDF File
7. X.-P. Guo, J. Feng, Convergence of
a deformed Newton's
method, Journal of Zhejiang University (Science Edition),
33(2006)4，389-392.
6. X.-P. Guo, Convergence ball of iterations with one parameter,
Appl. Math. J. Chinese
Univ. Ser. B, 20
(2005) 4,
462--468.
5. X.-P. Guo, The convergence for two types of generalized
iterations, J. East China Norm. Univ. Natur. Sci.
Ed.,
(2002) 3, 7-13.
4. 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.
3. X.-P. Guo, The convergence for the second-order derivative
free iterations, Chinese Journal of Engineering
Mathematics,
18(2001)4, 29-34.
2. X.-P. Guo, On the convergence of Newton's method in Banach
space, Journal of Zhejiang University
(Science Edition),
27(2000)5, 484-492.
1. 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.
|
