Steel, Thijs; Vandebril, Raf A novel, blocked algorithm for the reduction to Hessenberg-triangular form. (English) Zbl 1510.65071 Electron. J. Linear Algebra 38, 712-728 (2022). MSC: 65F15 15A18 65Y10 PDFBibTeX XMLCite \textit{T. Steel} and \textit{R. Vandebril}, Electron. J. Linear Algebra 38, 712--728 (2022; Zbl 1510.65071) Full Text: Link
Botchev, Mike A.; Knizhnerman, Leonid; Tyrtyshnikov, Eugene E. Residual and restarting in Krylov subspace evaluation of the \(\varphi\) function. (English) Zbl 1491.65032 SIAM J. Sci. Comput. 43, No. 6, A3733-A3759 (2021). MSC: 65F60 15A16 65L05 PDFBibTeX XMLCite \textit{M. A. Botchev} et al., SIAM J. Sci. Comput. 43, No. 6, A3733--A3759 (2021; Zbl 1491.65032) Full Text: DOI arXiv
Lin, Xue-lei; Ng, Michael An all-At-once preconditioner for evolutionary partial differential equations. (English) Zbl 07379636 SIAM J. Sci. Comput. 43, No. 4, A2766-A2784 (2021). MSC: 65F08 65F10 15B05 65M22 PDFBibTeX XMLCite \textit{X.-l. Lin} and \textit{M. Ng}, SIAM J. Sci. Comput. 43, No. 4, A2766--A2784 (2021; Zbl 07379636) Full Text: DOI arXiv
Steel, Thijs; Camps, Daan; Meerbergen, Karl; Vandebril, Raf A multishift, multipole rational QZ method with aggressive early deflation. (English) Zbl 1467.65032 SIAM J. Matrix Anal. Appl. 42, No. 2, 753-774 (2021). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{T. Steel} et al., SIAM J. Matrix Anal. Appl. 42, No. 2, 753--774 (2021; Zbl 1467.65032) Full Text: DOI arXiv
Liu, Jun; Wu, Shu-Lin A fast block \(\alpha\)-circulant preconditoner for all-at-once systems from wave equations. (English) Zbl 1460.65102 SIAM J. Matrix Anal. Appl. 41, No. 4, 1912-1943 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 65M12 65M15 65N30 65F08 65F10 65H10 15A18 65Y05 PDFBibTeX XMLCite \textit{J. Liu} and \textit{S.-L. Wu}, SIAM J. Matrix Anal. Appl. 41, No. 4, 1912--1943 (2020; Zbl 1460.65102) Full Text: DOI
Huang, Na Variable parameter Uzawa method for solving a class of block three-by-three saddle point problems. (English) Zbl 1455.65049 Numer. Algorithms 85, No. 4, 1233-1254 (2020). MSC: 65F10 65F50 15A60 PDFBibTeX XMLCite \textit{N. Huang}, Numer. Algorithms 85, No. 4, 1233--1254 (2020; Zbl 1455.65049) Full Text: DOI
Zhang, Ju-Li On the regularization matrix of the regularized DPSS preconditioner for non-Hermitian saddle-point problems. (English) Zbl 1463.65064 Comput. Appl. Math. 39, No. 3, Paper No. 191, 16 p. (2020). MSC: 65F10 65F08 15A18 PDFBibTeX XMLCite \textit{J.-L. Zhang}, Comput. Appl. Math. 39, No. 3, Paper No. 191, 16 p. (2020; Zbl 1463.65064) Full Text: DOI
Cao, Yang; Li, Sen Block triangular preconditioners based on symmetric-triangular decomposition for generalized saddle point problems. (English) Zbl 1429.65055 Appl. Math. Comput. 358, 262-277 (2019). MSC: 65F08 15A23 65F10 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{S. Li}, Appl. Math. Comput. 358, 262--277 (2019; Zbl 1429.65055) Full Text: DOI
Camps, Daan; Meerbergen, Karl; Vandebril, Raf A rational QZ method. (English) Zbl 1420.65044 SIAM J. Matrix Anal. Appl. 40, No. 3, 943-972 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{D. Camps} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 943--972 (2019; Zbl 1420.65044) Full Text: DOI arXiv
Camps, Daan; Meerbergen, Karl; Vandebril, Raf An implicit filter for rational Krylov using core transformations. (English) Zbl 1403.65016 Linear Algebra Appl. 561, 113-140 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{D. Camps} et al., Linear Algebra Appl. 561, 113--140 (2019; Zbl 1403.65016) Full Text: DOI Link
Zhang, Jianhua; Zhao, Jing A new matrix splitting preconditioner for generalized saddle point problems. (English) Zbl 1478.65017 Comput. Math. Appl. 75, No. 1, 153-160 (2018). MSC: 65F08 65F10 15A06 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Zhao}, Comput. Math. Appl. 75, No. 1, 153--160 (2018; Zbl 1478.65017) Full Text: DOI
Chao, Zhen; Chen, Guoliang; Guo, Ye On the semi-convergence of regularized HSS iteration methods for singular saddle point problems. (English) Zbl 1418.65039 Comput. Math. Appl. 76, No. 2, 438-450 (2018). MSC: 65F10 65F50 15A06 PDFBibTeX XMLCite \textit{Z. Chao} et al., Comput. Math. Appl. 76, No. 2, 438--450 (2018; Zbl 1418.65039) Full Text: DOI arXiv
Liang, Zhao-Zheng; Zhang, Guo-Feng Variants of the deteriorated PSS preconditioner for saddle point problems. (English) Zbl 1415.65071 Comput. Math. Appl. 75, No. 8, 3024-3046 (2018). MSC: 65F08 65F10 15A06 PDFBibTeX XMLCite \textit{Z.-Z. Liang} and \textit{G.-F. Zhang}, Comput. Math. Appl. 75, No. 8, 3024--3046 (2018; Zbl 1415.65071) Full Text: DOI
Li, Rui-Xia; Liang, Zhao-Zheng; Zhang, Guo-Feng; Liao, Li-Dan; Zhang, Lei A note on preconditioner for the Ohta-Kawasaki equation. (English) Zbl 1453.65066 Appl. Math. Lett. 85, 132-138 (2018). MSC: 65F08 65F10 15A18 PDFBibTeX XMLCite \textit{R.-X. Li} et al., Appl. Math. Lett. 85, 132--138 (2018; Zbl 1453.65066) Full Text: DOI
Lungten, Sangye; Schilders, Wil H. A.; Maubach, Joseph M. L. Threshold incomplete factorization constraint preconditioners for saddle-point matrices. (English) Zbl 1390.15045 Linear Algebra Appl. 545, 76-107 (2018). MSC: 15A23 65F05 65F50 PDFBibTeX XMLCite \textit{S. Lungten} et al., Linear Algebra Appl. 545, 76--107 (2018; Zbl 1390.15045) 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
Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. (English) Zbl 1385.65035 Numer. Math. 138, No. 2, 301-330 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Math. 138, No. 2, 301--330 (2018; Zbl 1385.65035) Full Text: DOI arXiv
Ling, Si-Tao; Liu, Qing-Bing New local generalized shift-splitting preconditioners for saddle point problems. (English) Zbl 1411.65045 Appl. Math. Comput. 302, 58-67 (2017). MSC: 65F08 65F10 15A24 PDFBibTeX XMLCite \textit{S.-T. Ling} and \textit{Q.-B. Liu}, Appl. Math. Comput. 302, 58--67 (2017; Zbl 1411.65045) Full Text: DOI
Salkuyeh, Davod Khojasteh; Rahimian, Maryam A modification of the generalized shift-splitting method for singular saddle point problems. (English) Zbl 1398.65050 Comput. Math. Appl. 74, No. 12, 2940-2949 (2017). MSC: 65F10 15A09 PDFBibTeX XMLCite \textit{D. K. Salkuyeh} and \textit{M. Rahimian}, Comput. Math. Appl. 74, No. 12, 2940--2949 (2017; Zbl 1398.65050) Full Text: DOI arXiv
Huang, Na; Ma, Chang-Feng Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems. (English) Zbl 1402.65145 Comput. Math. Appl. 74, No. 10, 2423-2437 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 65F08 93C20 65N30 49J20 49K20 90C25 15A18 65F05 PDFBibTeX XMLCite \textit{N. Huang} and \textit{C.-F. Ma}, Comput. Math. Appl. 74, No. 10, 2423--2437 (2017; Zbl 1402.65145) Full Text: DOI
Zhou, Sheng-Wei; Yang, Ai-Li; Wu, Yu-Jiang Two modified block-triangular splitting preconditioners for generalized saddle-point problems. (English) Zbl 1398.65042 Comput. Math. Appl. 74, No. 6, 1176-1197 (2017). MSC: 65F08 15A24 PDFBibTeX XMLCite \textit{S.-W. Zhou} et al., Comput. Math. Appl. 74, No. 6, 1176--1197 (2017; Zbl 1398.65042) Full Text: DOI
Embree, Mark; Keeler, Blake Pseudospectra of matrix pencils for transient analysis of differential-algebraic equations. (English) Zbl 1379.65058 SIAM J. Matrix Anal. Appl. 38, No. 3, 1028-1054 (2017). MSC: 65L80 65L20 34A09 15A22 65F15 PDFBibTeX XMLCite \textit{M. Embree} and \textit{B. Keeler}, SIAM J. Matrix Anal. Appl. 38, No. 3, 1028--1054 (2017; Zbl 1379.65058) Full Text: DOI arXiv
Zheng, Zhong; Zhang, Guo Feng A block diagonal preconditioner for generalised saddle point problems. (English) Zbl 1394.65024 East Asian J. Appl. Math. 6, No. 3, 235-252 (2016). MSC: 65F08 65F10 15A06 PDFBibTeX XMLCite \textit{Z. Zheng} and \textit{G. F. Zhang}, East Asian J. Appl. Math. 6, No. 3, 235--252 (2016; Zbl 1394.65024) Full Text: DOI
Fan, Hong-Tao; Wang, Xin; Zheng, Bing A class of preconditioned generalized local PSS iteration methods for non-Hermitian saddle point problems. (English) Zbl 1359.65046 Comput. Math. Appl. 72, No. 4, 1188-1204 (2016). MSC: 65F10 15A24 65F08 PDFBibTeX XMLCite \textit{H.-T. Fan} et al., Comput. Math. Appl. 72, No. 4, 1188--1204 (2016; Zbl 1359.65046) Full Text: DOI
Liang, Zhao-Zheng; Zhang, Guo-Feng Two new variants of the HSS preconditioner for regularized saddle point problems. (English) Zbl 1359.65043 Comput. Math. Appl. 72, No. 3, 603-619 (2016). MSC: 65F08 65F10 15A24 PDFBibTeX XMLCite \textit{Z.-Z. Liang} and \textit{G.-F. Zhang}, Comput. Math. Appl. 72, No. 3, 603--619 (2016; Zbl 1359.65043) Full Text: DOI
Shi, Quan; Shen, Qin-Qin; Yao, Lin-Quan Eigenvalue bounds of the shift-splitting preconditioned singular nonsymmetric saddle-point matrices. (English) Zbl 1352.65100 J. Inequal. Appl. 2016, Paper No. 256, 13 p. (2016). MSC: 65F08 15A42 65F10 PDFBibTeX XMLCite \textit{Q. Shi} et al., J. Inequal. Appl. 2016, Paper No. 256, 13 p. (2016; Zbl 1352.65100) Full Text: DOI
Benner, Peter; Kürschner, Patrick; Saak, Jens Frequency-limited balanced truncation with low-rank approximations. (English) Zbl 1391.65123 SIAM J. Sci. Comput. 38, No. 1, A471-A499 (2016). MSC: 65F60 15A16 15A18 15A24 93B11 93A15 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Sci. Comput. 38, No. 1, A471--A499 (2016; Zbl 1391.65123) Full Text: DOI
Li, Cui-Xia; Wu, Shi-Liang Two block triangular preconditioners for asymmetric saddle point problems. (English) Zbl 1410.65088 Appl. Math. Comput. 269, 456-463 (2015). MSC: 65F08 15A06 65F10 PDFBibTeX XMLCite \textit{C.-X. Li} and \textit{S.-L. Wu}, Appl. Math. Comput. 269, 456--463 (2015; Zbl 1410.65088) Full Text: DOI
Wu, Xianping; Li, Wen; Peng, Xiaofei Some refined eigenvalue perturbation bounds for two-by-two block Hermitian matrices. (English) Zbl 1404.15029 East Asian J. Appl. Math. 5, No. 2, 126-137 (2015). MSC: 15B57 15A42 65F15 65F35 PDFBibTeX XMLCite \textit{X. Wu} et al., East Asian J. Appl. Math. 5, No. 2, 126--137 (2015; Zbl 1404.15029) Full Text: DOI
Cao, Yang; Li, Sen; Yao, Lin-Quan A class of generalized shift-splitting preconditioners for nonsymmetric saddle point problems. (English) Zbl 1382.65075 Appl. Math. Lett. 49, 20-27 (2015). MSC: 65F08 15A24 65F10 PDFBibTeX XMLCite \textit{Y. Cao} et al., Appl. Math. Lett. 49, 20--27 (2015; Zbl 1382.65075) Full Text: DOI
Porcelli, Margherita; Simoncini, Valeria; Tani, Mattia Preconditioning of active-set Newton methods for PDE-constrained optimal control problems. (English) Zbl 1325.65066 SIAM J. Sci. Comput. 37, No. 5, S472-S502 (2015). MSC: 65F50 15A09 65F08 65K05 65H10 49J20 PDFBibTeX XMLCite \textit{M. Porcelli} et al., SIAM J. Sci. Comput. 37, No. 5, S472--S502 (2015; Zbl 1325.65066) Full Text: DOI arXiv
Rostami, Minghao W. New algorithms for computing the real structured pseudospectral abscissa and the real stability radius of large and sparse matrices. (English) Zbl 1325.65067 SIAM J. Sci. Comput. 37, No. 5, S447-S471 (2015). MSC: 65F50 65F15 15A18 15A24 PDFBibTeX XMLCite \textit{M. W. Rostami}, SIAM J. Sci. Comput. 37, No. 5, S447--S471 (2015; Zbl 1325.65067) Full Text: DOI Link
Zhang, Naimin On parameter acceleration methods for saddle point problems. (English) Zbl 1328.15007 J. Comput. Appl. Math. 288, 169-179 (2015). MSC: 15A06 65F10 PDFBibTeX XMLCite \textit{N. Zhang}, J. Comput. Appl. Math. 288, 169--179 (2015; Zbl 1328.15007) Full Text: DOI
Miao, Shu-Xin; Cao, Yang A note on GPIU method for generalized saddle point problems. (English) Zbl 1410.65106 Appl. Math. Comput. 230, 27-34 (2014). MSC: 65F10 15A24 PDFBibTeX XMLCite \textit{S.-X. Miao} and \textit{Y. Cao}, Appl. Math. Comput. 230, 27--34 (2014; Zbl 1410.65106) Full Text: DOI
Benner, Peter; Kürschner, Patrick Computing real low-rank solutions of Sylvester equations by the factored ADI method. (English) Zbl 1364.65093 Comput. Math. Appl. 67, No. 9, 1656-1672 (2014). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{P. Benner} and \textit{P. Kürschner}, Comput. Math. Appl. 67, No. 9, 1656--1672 (2014; Zbl 1364.65093) Full Text: DOI
Li, Cui-Xia; Wu, Shi-Liang Some new estimates on the complex eigenvalues of the HSS preconditioned matrix. (English) Zbl 1338.15042 Appl. Math. Comput. 248, 519-524 (2014). MSC: 15A42 65F08 PDFBibTeX XMLCite \textit{C.-X. Li} and \textit{S.-L. Wu}, Appl. Math. Comput. 248, 519--524 (2014; Zbl 1338.15042) Full Text: DOI
Lu, Junfeng A generalization of parameterized block triangular preconditioners for generalized saddle point problems. (English) Zbl 1336.65032 Appl. Math. Comput. 241, 25-35 (2014). MSC: 65F08 65F10 15A24 PDFBibTeX XMLCite \textit{J. Lu}, Appl. Math. Comput. 241, 25--35 (2014; Zbl 1336.65032) Full Text: DOI
Shen, Shu-Qian; Jian, Ling; Bao, Wen-Di; Huang, Ting-Zhu On the eigenvalue distribution of preconditioned nonsymmetric saddle point matrices. (English) Zbl 1340.65040 Numer. Linear Algebra Appl. 21, No. 4, 557-568 (2014). Reviewer: Jennifer Pestana (Manchester) MSC: 65F08 15A18 15B57 65F10 65F50 15A42 PDFBibTeX XMLCite \textit{S.-Q. Shen} et al., Numer. Linear Algebra Appl. 21, No. 4, 557--568 (2014; Zbl 1340.65040) Full Text: DOI
Li, Wen; Vong, Seak-Weng; Peng, Xiao-fei On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices. (English) Zbl 1291.65127 Appl. Numer. Math. 83, 38-50 (2014). MSC: 65F15 65F50 15A42 PDFBibTeX XMLCite \textit{W. Li} et al., Appl. Numer. Math. 83, 38--50 (2014; Zbl 1291.65127) Full Text: DOI
He, Jun; Huang, Ting-Zhu; Cheng, Guang-Hui A modified generalization of the Hermitian and skew-Hermitian splitting iteration. (English) Zbl 1488.65072 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 55(103), No. 2, 147-155 (2012). MSC: 65F10 15B57 PDFBibTeX XMLCite \textit{J. He} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 55(103), No. 2, 147--155 (2012; Zbl 1488.65072)
Shen, Shu-Qian; Huang, Ting-Zhu; Yu, Juan Eigenvalue estimates for preconditioned nonsymmetric saddle point matrices. (English) Zbl 1210.65082 SIAM J. Matrix Anal. Appl. 31, No. 5, 2453-2476 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65F50 15A42 65F08 PDFBibTeX XMLCite \textit{S.-Q. Shen} et al., SIAM J. Matrix Anal. Appl. 31, No. 5, 2453--2476 (2010; Zbl 1210.65082) Full Text: DOI
Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. (English) Zbl 1166.65326 SIAM J. Sci. Comput. 30, No. 1, 290-311 (2007). MSC: 65F10 65N12 65N30 76D05 15A06 35Q30 PDFBibTeX XMLCite \textit{H. Elman} et al., SIAM J. Sci. Comput. 30, No. 1, 290--311 (2007; Zbl 1166.65326) Full Text: DOI