Huang, Jinzhi; Jia, Zhongxiao A cross-product free Jacobi-Davidson type method for computing a partial generalized singular value decomposition of a large matrix pair. (English) Zbl 1507.65080 J. Sci. Comput. 94, No. 1, Paper No. 3, 32 p. (2023). MSC: 65F15 15A18 15A12 65F10 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, J. Sci. Comput. 94, No. 1, Paper No. 3, 32 p. (2023; Zbl 1507.65080) Full Text: DOI arXiv
Huang, Jinzhi; Jia, Zhongxiao Two harmonic Jacobi-Davidson methods for computing a partial generalized singular value decomposition of a large matrix pair. (English) Zbl 1502.65014 J. Sci. Comput. 93, No. 2, Paper No. 41, 29 p. (2022). MSC: 65F15 15A18 65F20 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, J. Sci. Comput. 93, No. 2, Paper No. 41, 29 p. (2022; Zbl 1502.65014) Full Text: DOI arXiv
Huang, Jinzhi; Jia, Zhongxiao On choices of formulations of computing the generalized singular value decomposition of a large matrix pair. (English) Zbl 1465.65027 Numer. Algorithms 87, No. 2, 689-718 (2021). MSC: 65F15 65F35 15A12 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, Numer. Algorithms 87, No. 2, 689--718 (2021; Zbl 1465.65027) Full Text: DOI arXiv
Jia, Zhongxiao; Yang, Yanfei A joint bidiagonalization based iterative algorithm for large scale general-form Tikhonov regularization. (English) Zbl 1452.65076 Appl. Numer. Math. 157, 159-177 (2020). MSC: 65F22 65F15 15A18 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{Y. Yang}, Appl. Numer. Math. 157, 159--177 (2020; Zbl 1452.65076) Full Text: DOI arXiv
Huang, Jinzhi; Jia, Zhongxiao On inner iterations of Jacobi-Davidson type methods for large SVD computations. (English) Zbl 1420.65049 SIAM J. Sci. Comput. 41, No. 3, A1574-A1603 (2019). MSC: 65F15 15A18 65F10 PDFBibTeX XMLCite \textit{J. Huang} and \textit{Z. Jia}, SIAM J. Sci. Comput. 41, No. 3, A1574--A1603 (2019; Zbl 1420.65049) Full Text: DOI arXiv
Jia, Zhongxiao; Li, Cen Harmonic and refined harmonic shift-invert residual Arnoldi and Jacobi-Davidson methods for interior eigenvalue problems. (English) Zbl 1309.65041 J. Comput. Appl. Math. 282, 83-97 (2015). MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{C. Li}, J. Comput. Appl. Math. 282, 83--97 (2015; Zbl 1309.65041) Full Text: DOI arXiv
Jia, Zhongxiao; Li, Cen Inner iterations in the shift-invert residual Arnoldi method and the Jacobi-Davidson method. (English) Zbl 1312.65054 Sci. China, Math. 57, No. 8, 1733-1752 (2014). Reviewer: Michael Jung (Dresden) MSC: 65F15 65F10 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{C. Li}, Sci. China, Math. 57, No. 8, 1733--1752 (2014; Zbl 1312.65054) Full Text: DOI arXiv
Jia, ZhongXiao On convergence of the inexact Rayleigh quotient iteration with the Lanczos method used for solving linear systems. (English) Zbl 1292.65038 Sci. China, Math. 56, No. 10, 2145-2160 (2013). MSC: 65F15 65F10 15A18 PDFBibTeX XMLCite \textit{Z. Jia}, Sci. China, Math. 56, No. 10, 2145--2160 (2013; Zbl 1292.65038) Full Text: DOI arXiv
Huang, Tsung-Ming; Jia, Zhongxiao; Lin, Wen-Wei On the convergence of Ritz pairs and refined Ritz vectors for quadratic eigenvalue problems. (English) Zbl 1284.65053 BIT 53, No. 4, 941-958 (2013). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 PDFBibTeX XMLCite \textit{T.-M. Huang} et al., BIT 53, No. 4, 941--958 (2013; Zbl 1284.65053) Full Text: DOI arXiv
Jia, ZhongXiao; Wang, Zhen A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigenproblem. (English) Zbl 1179.65039 Sci. China, Ser. A 51, No. 12, 2205-2216 (2008). MSC: 65F15 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{Z. Wang}, Sci. China, Ser. A 51, No. 12, 2205--2216 (2008; Zbl 1179.65039) Full Text: DOI