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
Dehdezi, Eisa Khosravi HOBi-CGSTAB and HOBi-CRSTAB methods for solving some tensor equations. (English) Zbl 07789690 Afr. Mat. 35, No. 1, Paper No. 14, 17 p. (2024). MSC: 15A69 15A72 65F10 15A99 PDFBibTeX XMLCite \textit{E. K. Dehdezi}, Afr. Mat. 35, No. 1, Paper No. 14, 17 p. (2024; Zbl 07789690) Full Text: DOI
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
Tan, Long-Ze; Guo, Xue-Ping On multi-step greedy randomized coordinate descent method for solving large linear least-squares problems. (English) Zbl 1524.65153 Comput. Appl. Math. 42, No. 1, Paper No. 37, 20 p. (2023). MSC: 65F10 65F20 65K05 90C25 15A06 PDFBibTeX XMLCite \textit{L.-Z. Tan} and \textit{X.-P. Guo}, Comput. Appl. Math. 42, No. 1, Paper No. 37, 20 p. (2023; Zbl 1524.65153) Full Text: DOI
Baglama, James; Perović, Vasilije; Picucci, Jennifer Hybrid iterative refined restarted Lanczos bidiagonalization methods. (English) Zbl 1506.65060 Numer. Algorithms 92, No. 2, 1183-1212 (2023). MSC: 65F15 65F50 15A18 PDFBibTeX XMLCite \textit{J. Baglama} et al., Numer. Algorithms 92, No. 2, 1183--1212 (2023; Zbl 1506.65060) Full Text: DOI
Karaduman, Gul; Yang, Mei; Li, Ren-Cang A least squares approach for saddle point problems. (English) Zbl 1505.65159 Japan J. Ind. Appl. Math. 40, No. 1, 95-107 (2023). MSC: 65F10 65F20 65F25 65F35 65F50 15A06 PDFBibTeX XMLCite \textit{G. Karaduman} et al., Japan J. Ind. Appl. Math. 40, No. 1, 95--107 (2023; Zbl 1505.65159) Full Text: DOI
Godaz, Reza; Monsefi, Reza; Toutounian, Faezeh; Hosseini, Reshad Accurate and fast matrix factorization for low-rank learning. (English) Zbl 07694606 J. Math. Model. 10, No. 2, 263-278 (2022). MSC: 68T05 15A23 PDFBibTeX XMLCite \textit{R. Godaz} et al., J. Math. Model. 10, No. 2, 263--278 (2022; Zbl 07694606) Full Text: DOI arXiv
Mustafa, Ashif; Saha, Manideepa A generalized projection iterative method for solving non-singular linear systems. (English) Zbl 1514.65037 Math. Found. Comput. 5, No. 4, 343-350 (2022). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{A. Mustafa} and \textit{M. Saha}, Math. Found. Comput. 5, No. 4, 343--350 (2022; Zbl 1514.65037) Full Text: DOI arXiv
Bentbib, A. H.; Khouia, A.; Sadok, H. Color image and video restoration using tensor CP decomposition. (English) Zbl 1505.65172 BIT 62, No. 4, 1257-1278 (2022). MSC: 65F22 15A69 65F10 94A08 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., BIT 62, No. 4, 1257--1278 (2022; Zbl 1505.65172) Full Text: DOI
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
Bentbib, Abdeslem H.; Khouia, Asmaa; Sadok, Hassane The LSQR method for solving tensor least-squares problems. (English) Zbl 1477.65067 ETNA, Electron. Trans. Numer. Anal. 55, 92-111 (2022). MSC: 65F20 15A69 65K10 68U10 94A08 PDFBibTeX XMLCite \textit{A. H. Bentbib} et al., ETNA, Electron. Trans. Numer. Anal. 55, 92--111 (2022; Zbl 1477.65067) Full Text: DOI Link
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
Morikuni, Keiichi Projection method for eigenvalue problems of linear nonsquare matrix pencils. (English) Zbl 1476.65054 SIAM J. Matrix Anal. Appl. 42, No. 3, 1381-1400 (2021). MSC: 65F15 65F50 15A18 15A22 PDFBibTeX XMLCite \textit{K. Morikuni}, SIAM J. Matrix Anal. Appl. 42, No. 3, 1381--1400 (2021; Zbl 1476.65054) Full Text: DOI arXiv
Chang, Xiao-Wen; Paige, Christopher C.; Titley-Peloquin, David Structure in loss of orthogonality. (English) Zbl 1467.65029 Linear Algebra Appl. 623, 149-167 (2021). MSC: 65F15 65F25 65G50 15A18 PDFBibTeX XMLCite \textit{X.-W. Chang} et al., Linear Algebra Appl. 623, 149--167 (2021; Zbl 1467.65029) Full Text: DOI
Samar, Mahvish; Li, Hanyu; Wei, Yimin Condition numbers for the \(K\)-weighted pseudoinverse \(L^\dagger_K\) and their statistical estimation. (English) Zbl 1467.65036 Linear Multilinear Algebra 69, No. 4, 752-770 (2021). MSC: 65F35 65F20 15A12 15A60 PDFBibTeX XMLCite \textit{M. Samar} et al., Linear Multilinear Algebra 69, No. 4, 752--770 (2021; Zbl 1467.65036) Full Text: DOI
Hajarian, Masoud Solving coupled tensor equations via higher order LSQR methods. (English) Zbl 1499.15050 Filomat 34, No. 13, 4419-4427 (2020). MSC: 15A24 65H10 15A69 65F10 PDFBibTeX XMLCite \textit{M. Hajarian}, Filomat 34, No. 13, 4419--4427 (2020; Zbl 1499.15050) Full Text: DOI
Calandra, Henri; Gratton, Serge; Riccietti, Elisa; Vasseur, Xavier On iterative solution of the extended normal equations. (English) Zbl 1461.65035 SIAM J. Matrix Anal. Appl. 41, No. 4, 1571-1589 (2020). MSC: 65F10 65F35 65G50 15A06 PDFBibTeX XMLCite \textit{H. Calandra} et al., SIAM J. Matrix Anal. Appl. 41, No. 4, 1571--1589 (2020; Zbl 1461.65035) Full Text: DOI
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
Hallman, Eric Estimating the backward error for the least-squares problem with multiple right-hand sides. (English) Zbl 1453.65079 Linear Algebra Appl. 605, 227-238 (2020). MSC: 65F20 15A06 65F35 PDFBibTeX XMLCite \textit{E. Hallman}, Linear Algebra Appl. 605, 227--238 (2020; Zbl 1453.65079) Full Text: DOI
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
Selvitopi, Oguz; Acer, Seher; Manguoğlu, Murat; Aykanat, Cevdet The effect of various sparsity structures on parallelism and algorithms to reveal those structures. (English) Zbl 07225630 Grama, Ananth (ed.) et al., Parallel algorithms in computational science and engineering. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 35-62 (2020). MSC: 68W10 05B20 05C50 65F50 65Y05 15A20 PDFBibTeX XMLCite \textit{O. Selvitopi} et al., in: Parallel algorithms in computational science and engineering. Cham: Birkhäuser. 35--62 (2020; Zbl 07225630) Full Text: DOI
Beik, Fatemeh P. A.; Jbilou, Khalide; Najafi-Kalyani, Mehdi; Reichel, Lothar Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications. (English) Zbl 1483.65069 Numer. Algorithms 84, No. 4, 1535-1563 (2020). MSC: 65F99 65F22 15A24 15A69 65F45 PDFBibTeX XMLCite \textit{F. P. A. Beik} et al., Numer. Algorithms 84, No. 4, 1535--1563 (2020; Zbl 1483.65069) Full Text: DOI
Baechler, Gilles; Dümbgen, Frederike; Elhami, Golnoosh; Kreković, Miranda; Vetterli, Martin Coordinate difference matrices. (English) Zbl 1432.68484 SIAM J. Matrix Anal. Appl. 41, No. 1, 332-363 (2020). MSC: 68U05 15A30 15B48 51K05 PDFBibTeX XMLCite \textit{G. Baechler} et al., SIAM J. Matrix Anal. Appl. 41, No. 1, 332--363 (2020; Zbl 1432.68484) Full Text: DOI
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
Huang, Baohua; Ma, Changfeng Global least squares methods based on tensor form to solve a class of generalized Sylvester tensor equations. (English) Zbl 1433.65046 Appl. Math. Comput. 369, Article ID 124892, 16 p. (2020). MSC: 65F10 15A69 15A18 65F20 PDFBibTeX XMLCite \textit{B. Huang} and \textit{C. Ma}, Appl. Math. Comput. 369, Article ID 124892, 16 p. (2020; Zbl 1433.65046) Full Text: DOI
Ling, Si-Tao; Jia, Zhi-Gang; Lu, Xin; Yang, Bing Matrix LSQR algorithm for structured solutions to quaternionic least squares problem. (English) Zbl 1442.65102 Comput. Math. Appl. 77, No. 3, 830-845 (2019). MSC: 65K05 90C20 15A24 15B57 PDFBibTeX XMLCite \textit{S.-T. Ling} et al., Comput. Math. Appl. 77, No. 3, 830--845 (2019; Zbl 1442.65102) Full Text: DOI
Paige, Christopher C. Accuracy of the Lanczos process for the eigenproblem and solution of equations. (English) Zbl 1427.65044 SIAM J. Matrix Anal. Appl. 40, No. 4, 1371-1398 (2019). MSC: 65F10 65F15 65F25 65F50 65G50 15A18 15B57 PDFBibTeX XMLCite \textit{C. C. Paige}, SIAM J. Matrix Anal. Appl. 40, No. 4, 1371--1398 (2019; Zbl 1427.65044) Full Text: DOI
Estrin, Ron; Orban, Dominique; Saunders, Michael A. LNLQ: an iterative method for least-norm problems with an error minimization property. (English) Zbl 1435.65050 SIAM J. Matrix Anal. Appl. 40, No. 3, 1102-1124 (2019). MSC: 65F10 15A06 65F22 65F25 65F35 65F50 93E24 PDFBibTeX XMLCite \textit{R. Estrin} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 1102--1124 (2019; Zbl 1435.65050) Full Text: DOI
Pestana, J. Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices. (English) Zbl 1420.65024 SIAM J. Matrix Anal. Appl. 40, No. 3, 870-887 (2019). MSC: 65F08 65F10 15B05 35R11 PDFBibTeX XMLCite \textit{J. Pestana}, SIAM J. Matrix Anal. Appl. 40, No. 3, 870--887 (2019; Zbl 1420.65024) Full Text: DOI arXiv
Avron, Haim; Druinsky, Alex; Toledo, Sivan Spectral condition-number estimation of large sparse matrices. (English) Zbl 1449.65097 Numer. Linear Algebra Appl. 26, No. 3, e2235, 19 p. (2019). MSC: 65F50 65F10 15A12 65F35 PDFBibTeX XMLCite \textit{H. Avron} et al., Numer. Linear Algebra Appl. 26, No. 3, e2235, 19 p. (2019; Zbl 1449.65097) Full Text: DOI arXiv
Estrin, Ron; Orban, Dominique; Saunders, Michael A. LSLQ: an iterative method for linear least-squares with an error minimization property. (English) Zbl 1451.65028 SIAM J. Matrix Anal. Appl. 40, No. 1, 254-275 (2019). MSC: 65F10 65F20 65F22 65F25 65F35 65F50 15A06 93E24 PDFBibTeX XMLCite \textit{R. Estrin} et al., SIAM J. Matrix Anal. Appl. 40, No. 1, 254--275 (2019; Zbl 1451.65028) Full Text: DOI
Hallman, Eric; Gu, Ming LSMB: minimizing the backward error for least-squares problems. (English) Zbl 1416.65102 SIAM J. Matrix Anal. Appl. 39, No. 3, 1295-1317 (2018). MSC: 65F20 15A06 65F10 65F50 PDFBibTeX XMLCite \textit{E. Hallman} and \textit{M. Gu}, SIAM J. Matrix Anal. Appl. 39, No. 3, 1295--1317 (2018; Zbl 1416.65102) Full Text: DOI
Estrin, Ron; Greif, Chen SPMR: A family of saddle-point minimum residual solvers. (English) Zbl 1448.65022 SIAM J. Sci. Comput. 40, No. 3, A1884-A1914 (2018). MSC: 65F10 65F08 65F25 65F50 15A06 15A18 PDFBibTeX XMLCite \textit{R. Estrin} and \textit{C. Greif}, SIAM J. Sci. Comput. 40, No. 3, A1884--A1914 (2018; Zbl 1448.65022) Full Text: DOI
McDonald, Eleanor; Pestana, Jennifer; Wathen, Andy Preconditioning and iterative solution of all-at-once systems for evolutionary partial differential equations. (English) Zbl 1392.65036 SIAM J. Sci. Comput. 40, No. 2, A1012-A1033 (2018). MSC: 65F08 15B05 65M22 PDFBibTeX XMLCite \textit{E. McDonald} et al., SIAM J. Sci. Comput. 40, No. 2, A1012--A1033 (2018; Zbl 1392.65036) Full Text: DOI
Xu, Hong-Xiu Zhong Hongguo Weighted Golub-Kahan-Lanczos bidiagonalization algorithms. (English) Zbl 1392.65101 ETNA, Electron. Trans. Numer. Anal. 47, 153-178 (2017). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{H.-X. Z. H. Xu}, ETNA, Electron. Trans. Numer. Anal. 47, 153--178 (2017; Zbl 1392.65101) Full Text: Link
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
Li, Hanyu; Wang, Shaoxin Partial condition number for the equality constrained linear least squares problem. (English) Zbl 1385.65032 Calcolo 54, No. 4, 1121-1146 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F35 15A12 15A60 PDFBibTeX XMLCite \textit{H. Li} and \textit{S. Wang}, Calcolo 54, No. 4, 1121--1146 (2017; Zbl 1385.65032) Full Text: DOI arXiv
Spantini, Alessio; Cui, Tiangang; Willcox, Karen; Tenorio, Luis; Marzouk, Youssef Goal-oriented optimal approximations of Bayesian linear inverse problems. (English) Zbl 1373.15027 SIAM J. Sci. Comput. 39, No. 5, S167-S196 (2017). MSC: 15A29 62F15 68W25 PDFBibTeX XMLCite \textit{A. Spantini} et al., SIAM J. Sci. Comput. 39, No. 5, S167--S196 (2017; Zbl 1373.15027) Full Text: DOI arXiv
Chung, Julianne; Saibaba, Arvind K. Generalized hybrid iterative methods for large-scale Bayesian inverse problems. (English) Zbl 1422.65065 SIAM J. Sci. Comput. 39, No. 5, S24-S46 (2017). MSC: 65F22 65F20 65F30 15A29 PDFBibTeX XMLCite \textit{J. Chung} and \textit{A. K. Saibaba}, SIAM J. Sci. Comput. 39, No. 5, S24--S46 (2017; Zbl 1422.65065) Full Text: DOI arXiv
Hnětynková, Iveta; Kubínová, Marie; Plešinger, Martin Noise representation in residuals of LSQR, LSMR, and CRAIG regularization. (English) Zbl 1391.15062 Linear Algebra Appl. 533, 357-379 (2017). MSC: 15A29 65F10 65F22 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., Linear Algebra Appl. 533, 357--379 (2017; Zbl 1391.15062) Full Text: DOI arXiv
Zhang, Huamin; Yin, Hongcai Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester matrix equations. (English) Zbl 1373.65033 Comput. Math. Appl. 73, No. 12, 2529-2547 (2017). MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{H. Yin}, Comput. Math. Appl. 73, No. 12, 2529--2547 (2017; Zbl 1373.65033) Full Text: DOI
Ling, Si-Tao; Jia, Zhi-Gang; Jiang, Tong-Song LSQR algorithm with structured preconditioner for the least squares problem in quaternionic quantum theory. (English) Zbl 1373.65029 Comput. Math. Appl. 73, No. 10, 2208-2220 (2017). MSC: 65F20 65F08 15B33 65F10 PDFBibTeX XMLCite \textit{S.-T. Ling} et al., Comput. Math. Appl. 73, No. 10, 2208--2220 (2017; Zbl 1373.65029) Full Text: DOI
Chung, Julianne; Chung, Matthias Optimal regularized inverse matrices for inverse problems. (English) Zbl 1367.65059 SIAM J. Matrix Anal. Appl. 38, No. 2, 458-477 (2017). MSC: 65F22 15A09 15A29 65F50 PDFBibTeX XMLCite \textit{J. Chung} and \textit{M. Chung}, SIAM J. Matrix Anal. Appl. 38, No. 2, 458--477 (2017; Zbl 1367.65059) Full Text: DOI arXiv
Ahmadi-Asl, Salman; Beik, Fatemeh Panjeh Ali Iterative algorithms for least-squares solutions of a quaternion matrix equation. (English) Zbl 1360.65117 J. Appl. Math. Comput. 53, No. 1-2, 95-127 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 65F20 15A24 65F10 15B33 65F50 PDFBibTeX XMLCite \textit{S. Ahmadi-Asl} and \textit{F. P. A. Beik}, J. Appl. Math. Comput. 53, No. 1--2, 95--127 (2017; Zbl 1360.65117) Full Text: DOI
Bello Cruz, J. Y.; Ferreira, O. P.; Prudente, L. F. On the global convergence of the inexact semi-smooth Newton method for absolute value equation. (English) Zbl 1353.90155 Comput. Optim. Appl. 65, No. 1, 93-108 (2016). MSC: 90C33 15B48 PDFBibTeX XMLCite \textit{J. Y. Bello Cruz} et al., Comput. Optim. Appl. 65, No. 1, 93--108 (2016; Zbl 1353.90155) Full Text: DOI arXiv
Hajarian, Masoud Least squares solution of the linear operator equation. (English) Zbl 1350.65032 J. Optim. Theory Appl. 170, No. 1, 205-219 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 15A06 15A24 PDFBibTeX XMLCite \textit{M. Hajarian}, J. Optim. Theory Appl. 170, No. 1, 205--219 (2016; Zbl 1350.65032) Full Text: DOI
Xie, Pengpeng; Wei, Yimin The stability of formulae of the Gohberg-Semencul-Trench type for Moore-Penrose and group inverses of Toeplitz matrices. (English) Zbl 1334.15034 Linear Algebra Appl. 498, 117-135 (2016). MSC: 15A18 15A22 65F15 PDFBibTeX XMLCite \textit{P. Xie} and \textit{Y. Wei}, Linear Algebra Appl. 498, 117--135 (2016; Zbl 1334.15034) Full Text: DOI
Yang, Hu; Wang, Shaoxin A flexible condition number for weighted linear least squares problem and its statistical estimation. (English) Zbl 1327.65089 J. Comput. Appl. Math. 292, 320-328 (2016). MSC: 65F35 15A12 15A60 PDFBibTeX XMLCite \textit{H. Yang} and \textit{S. Wang}, J. Comput. Appl. Math. 292, 320--328 (2016; Zbl 1327.65089) Full Text: DOI
Harker, Matthew; O’Leary, Paul Sylvester equations and the numerical solution of partial fractional differential equations. (English) Zbl 1349.65644 J. Comput. Phys. 293, 370-384 (2015). MSC: 65N35 15A24 35R11 65F30 65N22 PDFBibTeX XMLCite \textit{M. Harker} and \textit{P. O'Leary}, J. Comput. Phys. 293, 370--384 (2015; Zbl 1349.65644) Full Text: DOI
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
Pestana, J.; Wathen, A. J. A preconditioned MINRES method for nonsymmetric Toeplitz matrices. (English) Zbl 1315.65034 SIAM J. Matrix Anal. Appl. 36, No. 1, 273-288 (2015). MSC: 65F10 65F08 15B05 PDFBibTeX XMLCite \textit{J. Pestana} and \textit{A. J. Wathen}, SIAM J. Matrix Anal. Appl. 36, No. 1, 273--288 (2015; Zbl 1315.65034) Full Text: DOI Link
Qiu, Yuyang; Wang, Anding Solving linearly constrained matrix least squares problem by LSQR. (English) Zbl 1336.65066 Appl. Math. Comput. 236, 273-286 (2014). MSC: 65F25 15A24 PDFBibTeX XMLCite \textit{Y. Qiu} and \textit{A. Wang}, Appl. Math. Comput. 236, 273--286 (2014; Zbl 1336.65066) Full Text: DOI
Hajarian, Masoud Developing the CGLS algorithm for the least squares solutions of the general coupled matrix equations. (English) Zbl 1323.65041 Math. Methods Appl. Sci. 37, No. 17, 2782-2798 (2014). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{M. Hajarian}, Math. Methods Appl. Sci. 37, No. 17, 2782--2798 (2014; Zbl 1323.65041) Full Text: DOI
Barlow, Jesse L. Reorthogonalization for the Golub-Kahan-Lanczos bidiagonal reduction. (English) Zbl 1272.65034 Numer. Math. 124, No. 2, 237-278 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F25 65F15 15A18 65F20 PDFBibTeX XMLCite \textit{J. L. Barlow}, Numer. Math. 124, No. 2, 237--278 (2013; Zbl 1272.65034) Full Text: DOI
Dehghan, Mehdi; Hajarian, Masoud On the generalized reflexive and anti-reflexive solutions to a system of matrix equations. (English) Zbl 1255.15019 Linear Algebra Appl. 437, No. 11, 2793-2812 (2012). Reviewer: Ludwig Kohaupt (Berlin) MSC: 15A24 15A06 65F15 65F20 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Hajarian}, Linear Algebra Appl. 437, No. 11, 2793--2812 (2012; Zbl 1255.15019) Full Text: DOI
Song, Caiqin; Chen, Guoliang On solutions of matrix equation \(XF-AX=C\) and \(XF-A\widetilde{X}=C\) over quaternion field. (English) Zbl 1291.15009 J. Appl. Math. Comput. 37, No. 1-2, 57-68 (2011). MSC: 15A06 47S10 PDFBibTeX XMLCite \textit{C. Song} and \textit{G. Chen}, J. Appl. Math. Comput. 37, No. 1--2, 57--68 (2011; Zbl 1291.15009) Full Text: DOI
Fong, David Chin-Lung; Saunders, Michael LSMR: an iterative algorithm for sparse least-squares problems. (English) Zbl 1232.65052 SIAM J. Sci. Comput. 33, No. 5, 2950-2971 (2011). MSC: 65F10 65F20 15A06 65F22 65F25 65F35 65F50 93E24 PDFBibTeX XMLCite \textit{D. C. L. Fong} and \textit{M. Saunders}, SIAM J. Sci. Comput. 33, No. 5, 2950--2971 (2011; Zbl 1232.65052) Full Text: DOI arXiv
Strakoš, Zdeněk; Tichý, Petr On efficient numerical approximation of the bilinear form \(c^*A^{-1}b\). (English) Zbl 1227.65033 SIAM J. Sci. Comput. 33, No. 2, 565-587 (2011). MSC: 65F10 15A63 PDFBibTeX XMLCite \textit{Z. Strakoš} and \textit{P. Tichý}, SIAM J. Sci. Comput. 33, No. 2, 565--587 (2011; Zbl 1227.65033) Full Text: DOI
Kilmer, Misha E.; Martin, Carla D. Factorization strategies for third-order tensors. (English) Zbl 1228.15009 Linear Algebra Appl. 435, No. 3, 641-658 (2011). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A69 15A23 15A09 94A08 PDFBibTeX XMLCite \textit{M. E. Kilmer} and \textit{C. D. Martin}, Linear Algebra Appl. 435, No. 3, 641--658 (2011; Zbl 1228.15009) Full Text: DOI
Liu, Xian-Xia; Li, Jiao-Fen; Hu, Xi-Yan Generalized inverse problems for part symmetric matrices on a subspace in structural dynamic model updating. (English) Zbl 1211.15021 Math. Comput. Modelling 53, No. 1-2, 110-121 (2011). MSC: 15A24 PDFBibTeX XMLCite \textit{X.-X. Liu} et al., Math. Comput. Modelling 53, No. 1--2, 110--121 (2011; Zbl 1211.15021) Full Text: DOI
Wang, Minghui Algorithm Q-LSQR for the least squares problem in quaternionic quantum theory. (English) Zbl 1216.65050 Comput. Phys. Commun. 181, No. 6, 1047-1050 (2010). MSC: 65F20 15B33 PDFBibTeX XMLCite \textit{M. Wang}, Comput. Phys. Commun. 181, No. 6, 1047--1050 (2010; Zbl 1216.65050) Full Text: DOI
Paige, Christopher C. An augmented stability result for the Lanczos Hermitian matrix tridiagonalization process. (English) Zbl 1215.65083 SIAM J. Matrix Anal. Appl. 31, No. 5, 2347-2359 (2010). Reviewer: Raffaella Pavani (Milano) MSC: 65F30 65F10 65F50 15B57 PDFBibTeX XMLCite \textit{C. C. Paige}, SIAM J. Matrix Anal. Appl. 31, No. 5, 2347--2359 (2010; Zbl 1215.65083) Full Text: DOI Link
Ling, Sitao; Wang, Minghui; Wei, Musheng Hermitian tridiagonal solution with the least norm to quaternionic least squares problem. (English) Zbl 1205.81086 Comput. Phys. Commun. 181, No. 3, 481-488 (2010). MSC: 81Q10 15B33 81-08 65D99 93E24 PDFBibTeX XMLCite \textit{S. Ling} et al., Comput. Phys. Commun. 181, No. 3, 481--488 (2010; Zbl 1205.81086) Full Text: DOI
Paige, Christopher C. A useful form of unitary matrix obtained from any sequence of unit 2-norm \(n\)-vectors. (English) Zbl 1217.65072 SIAM J. Matrix Anal. Appl. 31, No. 2, 565-583 (2009). Reviewer: Liu Xinguo (Qingdao) MSC: 65F25 65G50 65F20 15B10 PDFBibTeX XMLCite \textit{C. C. Paige}, SIAM J. Matrix Anal. Appl. 31, No. 2, 565--583 (2009; Zbl 1217.65072) Full Text: DOI
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
Wang, Minghui; Wei, Musheng; Feng, Yan An iterative algorithm for least squares problem in quaternionic quantum theory. (English) Zbl 1197.81138 Comput. Phys. Commun. 179, No. 4, 203-207 (2008). MSC: 81Q65 15A24 15B33 PDFBibTeX XMLCite \textit{M. Wang} et al., Comput. Phys. Commun. 179, No. 4, 203--207 (2008; Zbl 1197.81138) Full Text: DOI
Kunis, Stefan; Rauhut, Holger Random sampling of sparse trigonometric polynomials. II: Orthogonal matching pursuit versus basis pursuit. (English) Zbl 1165.94314 Found. Comput. Math. 8, No. 6, 737-763 (2008). MSC: 94A20 42A05 15B52 90C05 90C25 PDFBibTeX XMLCite \textit{S. Kunis} and \textit{H. Rauhut}, Found. Comput. Math. 8, No. 6, 737--763 (2008; Zbl 1165.94314) Full Text: DOI arXiv
Bouhamidi, A.; Jbilou, K. Sylvester Tikhonov-regularization methods in image restoration. (English) Zbl 1131.65036 J. Comput. Appl. Math. 206, No. 1, 86-98 (2007). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F20 65F10 65R30 15A24 65F30 94A08 PDFBibTeX XMLCite \textit{A. Bouhamidi} and \textit{K. Jbilou}, J. Comput. Appl. Math. 206, No. 1, 86--98 (2007; Zbl 1131.65036) Full Text: DOI
Chen, Doron; Toledo, Sivan Combinatorial characterization of the null spaces of symmetric H-matrices. (English) Zbl 1061.65028 Linear Algebra Appl. 392, 71-90 (2004). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 65F15 05C22 05C20 05C50 15B57 15A03 PDFBibTeX XMLCite \textit{D. Chen} and \textit{S. Toledo}, Linear Algebra Appl. 392, 71--90 (2004; Zbl 1061.65028) Full Text: DOI
Facius, Axel Highly accurate verified error bounds for Krylov type linear system solvers. (English) Zbl 1018.65037 Appl. Numer. Math. 45, No. 1, 41-58 (2003). MSC: 65F10 65F50 15-04 65G20 PDFBibTeX XMLCite \textit{A. Facius}, Appl. Numer. Math. 45, No. 1, 41--58 (2003; Zbl 1018.65037) Full Text: DOI
Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk Templates for the solution of linear systems: building blocks for iterative methods. (English) Zbl 0814.65030 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xiii, 112 p. (1993). Reviewer: N.Köckler (Paderborn) MSC: 65F10 65-02 15-04 65F50 65F35 65Y05 68W30 PDFBibTeX XMLCite \textit{R. Barrett} et al., Templates for the solution of linear systems: building blocks for iterative methods. Philadelphia, PA: SIAM (1993; Zbl 0814.65030)
de Pillis, John Tensor equivalents for solution of linear systems: a parallel algorithm. (English) Zbl 0634.65020 SIAM J. Algebraic Discrete Methods 8, 291-312 (1987). Reviewer: F.Ribière-Michaud MSC: 65F10 65F50 15A69 65Y05 PDFBibTeX XMLCite \textit{J. de Pillis}, SIAM J. Algebraic Discrete Methods 8, 291--312 (1987; Zbl 0634.65020) Full Text: DOI
van der Vorst, Henk A. Large tridiagonal and block tridiagonal linear systems on vector and parallel computers. (English) Zbl 0632.65034 Parallel Comput. 5, 45-54 (1987). Reviewer: V.Seppälä MSC: 65F10 65F50 65Y05 15A23 PDFBibTeX XMLCite \textit{H. A. van der Vorst}, Parallel Comput. 5, 45--54 (1987; Zbl 0632.65034) Full Text: DOI
Foster, Leslie V. Rank and null space calculations using matrix decomposition without column interchanges. (English) Zbl 0589.65031 Linear Algebra Appl. 74, 47-71 (1986). Reviewer: D.Voukalis MSC: 65F30 15A23 PDFBibTeX XMLCite \textit{L. V. Foster}, Linear Algebra Appl. 74, 47--71 (1986; Zbl 0589.65031) Full Text: DOI
Zielke, G. Report on test matrices for generalized inverses. (English) Zbl 0566.65026 Computing 36, 105-162 (1986). MSC: 65F20 15A09 65F25 65F35 15B57 PDFBibTeX XMLCite \textit{G. Zielke}, Computing 36, 105--162 (1986; Zbl 0566.65026) Full Text: DOI