Jia, Zhongxiao; Zhang, Kailiang A FEAST SVDsolver based on Chebyshev-Jackson series for computing partial singular triplets of large matrices. (English) Zbl 1526.65013 J. Sci. Comput. 97, No. 1, Paper No. 21, 36 p. (2023). MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{K. Zhang}, J. Sci. Comput. 97, No. 1, Paper No. 21, 36 p. (2023; Zbl 1526.65013) Full Text: DOI arXiv
Jia, Zhongxiao; Li, Haibo The joint bidiagonalization method for large GSVD computations in finite precision. (English) Zbl 1516.65029 SIAM J. Matrix Anal. Appl. 44, No. 1, 382-407 (2023). MSC: 65F15 65F20 65F25 15A18 65F50 65G50 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{H. Li}, SIAM J. Matrix Anal. Appl. 44, No. 1, 382--407 (2023; Zbl 1516.65029) Full Text: DOI arXiv
Jia, Zhongxiao; Wang, Fa The convergence of the generalized Lanczos trust-region method for the trust-region subproblem. (English) Zbl 1462.90083 SIAM J. Optim. 31, No. 1, 887-914 (2021). MSC: 90C20 90C30 65K05 65F10 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{F. Wang}, SIAM J. Optim. 31, No. 1, 887--914 (2021; Zbl 1462.90083) Full Text: DOI arXiv
Jia, Zhongxiao; Lin, Wen-Wei; Liu, Ching-Sung A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible \(M\)-matrix. (English) Zbl 1320.65055 Numer. Math. 130, No. 4, 645-679 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65F50 15B48 PDFBibTeX XMLCite \textit{Z. Jia} et al., Numer. Math. 130, No. 4, 645--679 (2015; Zbl 1320.65055) Full Text: DOI arXiv
Jia, Zhongxiao; Lv, Hui A posteriori error estimates of Krylov subspace approximations to matrix functions. (English) Zbl 1331.65069 Numer. Algorithms 69, No. 1, 1-28 (2015). Reviewer: João R. Cardoso (Coimbra) MSC: 65F60 65F10 15A16 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{H. Lv}, Numer. Algorithms 69, No. 1, 1--28 (2015; Zbl 1331.65069) Full Text: DOI arXiv
Duan, Congying; Jia, Zhongxiao A global harmonic Arnoldi method for large non-Hermitian eigenproblems with an application to multiple eigenvalue problems. (English) Zbl 1188.65041 J. Comput. Appl. Math. 234, No. 3, 845-860 (2010). MSC: 65F15 65F22 PDFBibTeX XMLCite \textit{C. Duan} and \textit{Z. Jia}, J. Comput. Appl. Math. 234, No. 3, 845--860 (2010; Zbl 1188.65041) Full Text: DOI
Jia, Zhongxiao Using cross-product matrices to compute the SVD. (English) Zbl 1105.65037 Numer. Algorithms 42, No. 1, 31-61 (2006). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F20 65F15 65G50 PDFBibTeX XMLCite \textit{Z. Jia}, Numer. Algorithms 42, No. 1, 31--61 (2006; Zbl 1105.65037) Full Text: DOI
Chen, Guizhi; Jia, Zhongxiao A refined harmonic Rayleigh-Ritz procedure and an explicitly restarted refined harmonic Arnoldi algorithm. (English) Zbl 1111.65033 Math. Comput. Modelling 41, No. 6-7, 615-627 (2005). Reviewer: Georg Hebermehl (Berlin) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{G. Chen} and \textit{Z. Jia}, Math. Comput. Modelling 41, No. 6--7, 615--627 (2005; Zbl 1111.65033) Full Text: DOI
Jia, Zhongxiao The refined harmonic Arnoldi method and an implicitly restarted refined algorithm for computing interior eigenpairs of large matrices. (English) Zbl 1030.65023 Appl. Numer. Math. 42, No. 4, 489-512 (2002). Reviewer: H.Matthies (Braunschweig) MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Jia}, Appl. Numer. Math. 42, No. 4, 489--512 (2002; Zbl 1030.65023) Full Text: DOI
Jia, Zhongxiao Residuals of refined projection methods for large matrix eigenproblems. (English) Zbl 0984.65036 Comput. Math. Appl. 41, No. 7-8, 813-820 (2001). Reviewer: Liu Xinguo (Qingdao) MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Jia}, Comput. Math. Appl. 41, No. 7--8, 813--820 (2001; Zbl 0984.65036) Full Text: DOI
Jia, Zhongxiao Polynomial characterizations of the approximate eigenvectors by the refined Arnoldi method and an implicitly restarted refined Arnoldi algorithm. (English) Zbl 0939.65056 Linear Algebra Appl. 287, No. 1-3, 191-214 (1999). Reviewer: F.Szidarovszky (Tucson) MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Jia}, Linear Algebra Appl. 287, No. 1--3, 191--214 (1999; Zbl 0939.65056) Full Text: DOI
Jia, Zhongxiao A variation on the block Arnoldi method for large unsymmetric matrix eigenproblems. (English) Zbl 0931.65036 Acta Math. Appl. Sin., Engl. Ser. 14, No. 4, 425-432 (1998). Reviewer: Váslaw Burjan (Praha) MSC: 65F15 65L15 34L15 PDFBibTeX XMLCite \textit{Z. Jia}, Acta Math. Appl. Sin., Engl. Ser. 14, No. 4, 425--432 (1998; Zbl 0931.65036) Full Text: DOI
Jia, Zhongxiao A refined iterative algorithm based on the block Arnoldi process for large unsymmetric eigenproblems. (English) Zbl 0896.65035 Linear Algebra Appl. 270, 171-189 (1998). Reviewer: F.Uhlig (Auburn) MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Jia}, Linear Algebra Appl. 270, 171--189 (1998; Zbl 0896.65035) Full Text: DOI
Jia, Zhongxiao Refined iterative algorithms based on Arnoldi’s process for large unsymmetric eigenproblems. (English) Zbl 0877.65018 Linear Algebra Appl. 259, 1-23 (1997). Reviewer: A.Meister (Hamburg) MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Jia}, Linear Algebra Appl. 259, 1--23 (1997; Zbl 0877.65018) Full Text: DOI
Jia, Zhongxiao A block incomplete orthogonalization method for large nonsymmetric eigenproblems. (English) Zbl 0844.65026 BIT 35, No. 4, 516-539 (1995). Reviewer: J.P.Milaszewicz (Dublin) MSC: 65F15 65F25 PDFBibTeX XMLCite \textit{Z. Jia}, BIT 35, No. 4, 516--539 (1995; Zbl 0844.65026) Full Text: DOI