Li, Haibo The joint bidiagonalization of a matrix pair with inaccurate inner iterations. (English) Zbl 07791526 SIAM J. Matrix Anal. Appl. 45, No. 1, 232-259 (2024). MSC: 65F25 65F20 15A18 65G99 PDFBibTeX XMLCite \textit{H. Li}, SIAM J. Matrix Anal. Appl. 45, No. 1, 232--259 (2024; Zbl 07791526) 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
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
Dessole, Monica; Marcuzzi, Fabio Deviation maximization for rank-revealing QR factorizations. (English) Zbl 1503.65073 Numer. Algorithms 91, No. 3, 1047-1079 (2022). MSC: 65F15 15A23 PDFBibTeX XMLCite \textit{M. Dessole} and \textit{F. Marcuzzi}, Numer. Algorithms 91, No. 3, 1047--1079 (2022; Zbl 1503.65073) 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
Jian, Yuan Subspaces analysis for random projection UTV framework. (English) Zbl 1508.65035 SIAM J. Matrix Anal. Appl. 43, No. 3, 1291-1307 (2022). MSC: 65F20 15A18 65F25 PDFBibTeX XMLCite \textit{Y. Jian}, SIAM J. Matrix Anal. Appl. 43, No. 3, 1291--1307 (2022; Zbl 1508.65035) Full Text: DOI
Che, Maolin; Wei, Yimin An efficient algorithm for computing the approximate t-URV and its applications. (English) Zbl 1498.65062 J. Sci. Comput. 92, No. 3, Paper No. 93, 27 p. (2022). MSC: 65F99 15A69 PDFBibTeX XMLCite \textit{M. Che} and \textit{Y. Wei}, J. Sci. Comput. 92, No. 3, Paper No. 93, 27 p. (2022; Zbl 1498.65062) Full Text: DOI
Gidisu, Perfect Y.; Hochstenbach, Michiel E. A generalized CUR decomposition for matrix pairs. (English) Zbl 1492.65110 SIAM J. Math. Data Sci. 4, No. 1, 386-409 (2022). MSC: 65F55 15A23 65F15 PDFBibTeX XMLCite \textit{P. Y. Gidisu} and \textit{M. E. Hochstenbach}, SIAM J. Math. Data Sci. 4, No. 1, 386--409 (2022; Zbl 1492.65110) Full Text: DOI arXiv
Petkov, Petko H.; Konstantinov, Mihail M. The numerical Jordan form. (English) Zbl 1482.65059 Linear Algebra Appl. 638, 1-45 (2022). MSC: 65F15 65F22 15A20 15A21 47A55 PDFBibTeX XMLCite \textit{P. H. Petkov} and \textit{M. M. Konstantinov}, Linear Algebra Appl. 638, 1--45 (2022; Zbl 1482.65059) Full Text: DOI
Luiken, Nick; van Leeuwen, Tristan Relaxed regularization for linear inverse problems. (English) Zbl 1490.65071 SIAM J. Sci. Comput. 43, No. 5, S269-S292 (2021). MSC: 65F22 65F10 15A18 15A29 PDFBibTeX XMLCite \textit{N. Luiken} and \textit{T. van Leeuwen}, SIAM J. Sci. Comput. 43, No. 5, S269--S292 (2021; Zbl 1490.65071) Full Text: DOI
Jia, Zhongxiao; Li, Haibo The joint bidiagonalization process with partial reorthogonalization. (English) Zbl 1485.65038 Numer. Algorithms 88, No. 2, 965-992 (2021). MSC: 65F15 15A18 65F25 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{H. Li}, Numer. Algorithms 88, No. 2, 965--992 (2021; Zbl 1485.65038) Full Text: DOI arXiv
Luiken, Nick; van Leeuwen, Tristan Relaxed regularization for linear inverse problems. (English) Zbl 1512.65071 SIAM J. Sci. Comput. 43, No. 3, S269-S292 (2021). MSC: 65F22 65F10 15A18 15A29 PDFBibTeX XMLCite \textit{N. Luiken} and \textit{T. van Leeuwen}, SIAM J. Sci. Comput. 43, No. 3, S269--S292 (2021; Zbl 1512.65071) 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 Regularization properties of Krylov iterative solvers CGME and LSMR for linear discrete ill-posed problems with an application to truncated randomized SVDs. (English) Zbl 1455.65062 Numer. Algorithms 85, No. 4, 1281-1310 (2020). MSC: 65F22 65F10 65F15 65F55 15A18 PDFBibTeX XMLCite \textit{Z. Jia}, Numer. Algorithms 85, No. 4, 1281--1310 (2020; Zbl 1455.65062) 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
Jia, Zhongxiao Approximation accuracy of the Krylov subspaces for linear discrete ill-posed problems. (English) Zbl 1434.65043 J. Comput. Appl. Math. 374, Article ID 112786, 25 p. (2020). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 15A18 65F10 65F20 65R32 65J20 65J22 65R30 47A52 15A29 45Q05 86A22 PDFBibTeX XMLCite \textit{Z. Jia}, J. Comput. Appl. Math. 374, Article ID 112786, 25 p. (2020; Zbl 1434.65043) Full Text: DOI arXiv
Zeng, Zhonggang On the sensitivity of singular and ill-conditioned linear systems. (English) Zbl 1420.65055 SIAM J. Matrix Anal. Appl. 40, No. 3, 918-942 (2019). MSC: 65F22 65F35 15A12 15A06 PDFBibTeX XMLCite \textit{Z. Zeng}, SIAM J. Matrix Anal. Appl. 40, No. 3, 918--942 (2019; Zbl 1420.65055) Full Text: DOI arXiv
Kabashima, Kenta; Wu, Tianxiong; Nara, Takaaki Reconstruction of current dipoles based on tensor decomposition of multipole coefficients. (English) Zbl 1448.65207 JSIAM Lett. 11, 29-32 (2019). MSC: 65N21 65F99 15A23 PDFBibTeX XMLCite \textit{K. Kabashima} et al., JSIAM Lett. 11, 29--32 (2019; Zbl 1448.65207) Full Text: DOI
Aminikhah, Hossein; Yousefi, Mahsa A special generalized HSS method for discrete ill-posed problems. (English) Zbl 1405.65041 Comput. Appl. Math. 37, No. 2, 1507-1523 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 94A08 65F22 15B57 PDFBibTeX XMLCite \textit{H. Aminikhah} and \textit{M. Yousefi}, Comput. Appl. Math. 37, No. 2, 1507--1523 (2018; Zbl 1405.65041) Full Text: DOI
Lee, Tsung-Lin; Li, Tien-Yien; Zeng, Zhonggang RankRev: a Matlab package for computing the numerical rank and updating/downdating. (English) Zbl 1382.65119 Numer. Algorithms 77, No. 2, 559-576 (2018). MSC: 65F30 15A03 65Y15 65F20 PDFBibTeX XMLCite \textit{T.-L. Lee} et al., Numer. Algorithms 77, No. 2, 559--576 (2018; Zbl 1382.65119) Full Text: DOI
Huang, Yi; Jia, ZhongXiao Some results on the regularization of LSQR for large-scale discrete ill-posed problems. (English) Zbl 1453.65080 Sci. China, Math. 60, No. 4, 701-718 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 65J20 15A18 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{Z. Jia}, Sci. China, Math. 60, No. 4, 701--718 (2017; Zbl 1453.65080) Full Text: DOI arXiv
Sukkari, Dalal; Ltaief, Hatem; Keyes, David A high performance QDWH-SVD solver using hardware accelerators. (English) Zbl 1369.65058 ACM Trans. Math. Softw. 43, No. 1, Article No. 6, 25 p. (2016). MSC: 65F15 15A23 65Y10 65Y20 PDFBibTeX XMLCite \textit{D. Sukkari} et al., ACM Trans. Math. Softw. 43, No. 1, Article No. 6, 25 p. (2016; Zbl 1369.65058) Full Text: DOI Link
Jørgensen, Jakob S.; Sidky, Emil Y.; Hansen, Per Christian; Pan, Xiaochuan Empirical average-case relation between undersampling and sparsity in X-ray CT. (English) Zbl 1332.90393 Inverse Probl. Imaging 9, No. 2, 431-446 (2015). MSC: 90C90 15A29 44A12 94A08 PDFBibTeX XMLCite \textit{J. S. Jørgensen} et al., Inverse Probl. Imaging 9, No. 2, 431--446 (2015; Zbl 1332.90393) Full Text: DOI arXiv
Spantini, Alessio; Solonen, Antti; Cui, Tiangang; Martin, James; Tenorio, Luis; Marzouk, Youssef Optimal low-rank approximations of Bayesian linear inverse problems. (English) Zbl 1325.62060 SIAM J. Sci. Comput. 37, No. 6, A2451-A2487 (2015). MSC: 62F15 15A29 92C55 68W25 PDFBibTeX XMLCite \textit{A. Spantini} et al., SIAM J. Sci. Comput. 37, No. 6, A2451--A2487 (2015; Zbl 1325.62060) Full Text: DOI arXiv Link
Hnětynková, Iveta; Plešinger, Martin; Strakoš, Zdeněk The regularizing effect of the Golub-Kahan iterative bidiagonalization and revealing the noise level in the data. (English) Zbl 1184.65044 BIT 49, No. 4, 669-696 (2009). MSC: 65F22 65F20 15A06 15A21 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., BIT 49, No. 4, 669--696 (2009; Zbl 1184.65044) Full Text: DOI
Mastronardi, Nicola; O’Leary, Dianne P. Fast robust regression algorithms for problems with Toeplitz structure. (English) Zbl 1452.62096 Comput. Stat. Data Anal. 52, No. 2, 1119-1131 (2007). MSC: 62-08 65F20 65F10 15B05 PDFBibTeX XMLCite \textit{N. Mastronardi} and \textit{D. P. O'Leary}, Comput. Stat. Data Anal. 52, No. 2, 1119--1131 (2007; Zbl 1452.62096) Full Text: DOI
Lampe, J.; Voss, H. On a quadratic eigenproblem occurring in regularized total least squares. (English) Zbl 1393.15013 Comput. Stat. Data Anal. 52, No. 2, 1090-1102 (2007). MSC: 15A18 65F15 65F20 65F22 PDFBibTeX XMLCite \textit{J. Lampe} and \textit{H. Voss}, Comput. Stat. Data Anal. 52, No. 2, 1090--1102 (2007; Zbl 1393.15013) Full Text: DOI
Fierro, Ricardo D.; Hansen, Per Christian UTV Expansin pack: Special-purpose rank-revealing algorithms. (English) Zbl 1079.65026 Numer. Algorithms 40, No. 1, 47-66 (2005). MSC: 65F05 65Y15 15-04 65F25 PDFBibTeX XMLCite \textit{R. D. Fierro} and \textit{P. C. Hansen}, Numer. Algorithms 40, No. 1, 47--66 (2005; Zbl 1079.65026) Full Text: DOI
Mastronardi, N.; Lemmerling, P.; Kalsi, A.; O’Leary, D. P.; Van Huffel, S. Implementation of the regularized structured total least squares algorithms for blind image deblurring. (English) Zbl 1060.94502 Linear Algebra Appl. 391, 203-221 (2004). MSC: 94A08 68U10 65F22 65F30 15A23 PDFBibTeX XMLCite \textit{N. Mastronardi} et al., Linear Algebra Appl. 391, 203--221 (2004; Zbl 1060.94502) Full Text: DOI
Hansen, Per Christian Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. (English) Zbl 0890.65037 SIAM Monographs on Mathematical Modeling and Computation, 4. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 247 p. (1997). Reviewer: C.W.Groetsch (Cincinnati) MSC: 65F20 65J20 47A50 15A09 65R30 45B05 65-02 PDFBibTeX XMLCite \textit{P. C. Hansen}, Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. Philadelphia, PA: SIAM (1997; Zbl 0890.65037) Full Text: DOI