Niu, Jing; Sogabe, Tomohiro; Du, Lei; Kemmochi, Tomoya; Zhang, Shao-Liang Tensor product-type methods for solving Sylvester tensor equations. (English) Zbl 07736192 Appl. Math. Comput. 457, Article ID 128155, 12 p. (2023). MSC: 65Fxx 15Axx 65Nxx PDFBibTeX XMLCite \textit{J. Niu} et al., Appl. Math. Comput. 457, Article ID 128155, 12 p. (2023; Zbl 07736192) Full Text: DOI
Zhang, Xin-Fang; Ding, Wei; Li, Tao Tensor form of GPBiCG algorithm for solving the generalized Sylvester quaternion tensor equations. (English) Zbl 07699703 J. Franklin Inst. 360, No. 9, 5929-5946 (2023). MSC: 65-XX 15-XX PDFBibTeX XMLCite \textit{X.-F. Zhang} et al., J. Franklin Inst. 360, No. 9, 5929--5946 (2023; Zbl 07699703) Full Text: DOI
Hajarian, Masoud Symmetric solutions of the coupled generalized Sylvester matrix equations via BCR algorithm. (English) Zbl 1344.93044 J. Franklin Inst. 353, No. 13, 3233-3248 (2016). MSC: 93B40 15A24 PDFBibTeX XMLCite \textit{M. Hajarian}, J. Franklin Inst. 353, No. 13, 3233--3248 (2016; Zbl 1344.93044) Full Text: DOI
Gu, Xian-Ming; Huang, Ting-Zhu; Carpentieri, Bruno; Li, Liang; Wen, Chun A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems. (English) Zbl 1443.65042 Comput. Math. Appl. 70, No. 12, 3019-3031 (2015). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{X.-M. Gu} et al., Comput. Math. Appl. 70, No. 12, 3019--3031 (2015; Zbl 1443.65042) Full Text: DOI
Xie, Ya-Jun; Ma, Chang-Feng The matrix iterative methods for solving a class of generalized coupled Sylvester-conjugate linear matrix equations. (English) Zbl 1443.65057 Appl. Math. Modelling 39, No. 16, 4895-4908 (2015). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{Y.-J. Xie} and \textit{C.-F. Ma}, Appl. Math. Modelling 39, No. 16, 4895--4908 (2015; Zbl 1443.65057) Full Text: DOI
Xie, Ya-Jun; Ma, Chang-Feng The MGPBiCG method for solving the generalized coupled Sylvester-conjugate matrix equations. (English) Zbl 1410.65128 Appl. Math. Comput. 265, 68-78 (2015). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{Y.-J. Xie} and \textit{C.-F. Ma}, Appl. Math. Comput. 265, 68--78 (2015; Zbl 1410.65128) Full Text: DOI
Zhang, Jianhua; Dai, Hua A transpose-free quasi-minimal residual variant of the CORS method for solving non-Hermitian linear systems. (English) Zbl 1349.65125 J. Comput. Phys. 291, 20-33 (2015). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{H. Dai}, J. Comput. Phys. 291, 20--33 (2015; Zbl 1349.65125) Full Text: DOI
Liu, Chein-Shan A maximal projection solution of ill-posed linear system in a column subspace, better than the least squares solution. (English) Zbl 1367.65060 Comput. Math. Appl. 67, No. 10, 1998-2014 (2014). MSC: 65F22 15A06 PDFBibTeX XMLCite \textit{C.-S. Liu}, Comput. Math. Appl. 67, No. 10, 1998--2014 (2014; Zbl 1367.65060) Full Text: DOI
Sun, Dong-Lin; Jing, Yan-Fei; Huang, Ting-Zhu; Carpentieri, Bruno A quasi-minimal residual variant of the BiCORSTAB method for nonsymmetric linear systems. (English) Zbl 1367.65053 Comput. Math. Appl. 67, No. 10, 1743-1755 (2014). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{D.-L. Sun} et al., Comput. Math. Appl. 67, No. 10, 1743--1755 (2014; Zbl 1367.65053) Full Text: DOI Link
Hajarian, Masoud Matrix form of the CGS method for solving general coupled matrix equations. (English) Zbl 1314.65064 Appl. Math. Lett. 34, 37-42 (2014). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{M. Hajarian}, Appl. Math. Lett. 34, 37--42 (2014; Zbl 1314.65064) Full Text: DOI
Hajarian, Masoud Matrix iterative methods for solving the Sylvester-transpose and periodic Sylvester matrix equations. (English) Zbl 1293.93289 J. Franklin Inst. 350, No. 10, 3328-3341 (2013). MSC: 93B40 15A24 PDFBibTeX XMLCite \textit{M. Hajarian}, J. Franklin Inst. 350, No. 10, 3328--3341 (2013; Zbl 1293.93289) Full Text: DOI
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
Bai, Zheng-Jian; Xu, Shufang An inexact Newton-type method for inverse singular value problems. (English) Zbl 1154.65021 Linear Algebra Appl. 429, No. 2-3, 527-547 (2008). Reviewer: E. Kreyszig (Ottawa) MSC: 65F18 15A29 15A18 65F15 PDFBibTeX XMLCite \textit{Z.-J. Bai} and \textit{S. Xu}, Linear Algebra Appl. 429, No. 2--3, 527--547 (2008; Zbl 1154.65021) Full Text: DOI
Gravvanis, G. A.; Lipitakis, E. A. A three-dimensional explicit preconditioned solver. (English) Zbl 0858.65037 Comput. Math. Appl. 32, No. 2, 111-131 (1996). MSC: 65F10 35J25 65N06 65F35 15-04 PDFBibTeX XMLCite \textit{G. A. Gravvanis} and \textit{E. A. Lipitakis}, Comput. Math. Appl. 32, No. 2, 111--131 (1996; Zbl 0858.65037) 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)
Ku, Ta-Kang; Kuo, C.-C. Jay Spectral properties of preconditioned rational Toeplitz matrices: The nonsymmetric case. (English) Zbl 0773.65019 SIAM J. Matrix Anal. Appl. 14, No. 2, 521-544 (1993). Reviewer: R.H.W.Hoppe (München) MSC: 65F10 65F35 15A12 15B57 PDFBibTeX XMLCite \textit{T.-K. Ku} and \textit{C. C. J. Kuo}, SIAM J. Matrix Anal. Appl. 14, No. 2, 521--544 (1993; Zbl 0773.65019) Full Text: DOI
Heroux, Michael A.; Vu, Phuong; Yang, Chao A parallel preconditioned conjugate gradient package for solving sparse linear systems on a Cray Y-MP. (English) Zbl 0738.65025 Appl. Numer. Math. 8, No. 2, 93-115 (1991). Reviewer: V.Burjan (Praha) MSC: 65F10 65Y05 65F50 15-04 PDFBibTeX XMLCite \textit{M. A. Heroux} et al., Appl. Numer. Math. 8, No. 2, 93--115 (1991; Zbl 0738.65025) 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