Li, Zhi Zhi; Zhang, Huai; Ou-Yang, Le Accelerating the HS-type Richardson iteration method with Anderson mixing. (English) Zbl 1505.65162 Acta Math. Sin., Engl. Ser. 38, No. 11, 2069-2089 (2022). MSC: 65F10 65F50 65H10 PDFBibTeX XMLCite \textit{Z. Z. Li} et al., Acta Math. Sin., Engl. Ser. 38, No. 11, 2069--2089 (2022; Zbl 1505.65162) Full Text: DOI
Feng, Wei; Wang, Zeng-Qi; Zhong, Ruo-Bing; Muratova, Galina V. Restrictive preconditioning for convection-diffusion distributed control problems. (English) Zbl 1482.65051 East Asian J. Appl. Math. 12, No. 2, 233-246 (2022). MSC: 65F10 65F08 65N22 PDFBibTeX XMLCite \textit{W. Feng} et al., East Asian J. Appl. Math. 12, No. 2, 233--246 (2022; Zbl 1482.65051) Full Text: DOI
Chow, Edmond; Frommer, Andreas; Szyld, Daniel B. Asynchronous Richardson iterations: theory and practice. (English) Zbl 1472.65036 Numer. Algorithms 87, No. 4, 1635-1651 (2021). MSC: 65F10 65Y05 PDFBibTeX XMLCite \textit{E. Chow} et al., Numer. Algorithms 87, No. 4, 1635--1651 (2021; Zbl 1472.65036) Full Text: DOI arXiv Link
Gadzhiev, M. G.; Zhgun, K. V.; Zubov, N. E.; Ryabchenko, V. N. Synthesis of fast and superfast solvers of large systems of linear algebraic equations using control theory methods. (English. Russian original) Zbl 1432.93064 J. Comput. Syst. Sci. Int. 58, No. 4, 560-570 (2019); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2019, No. 4, 62-73 (2019). MSC: 93B25 93A15 93B05 PDFBibTeX XMLCite \textit{M. G. Gadzhiev} et al., J. Comput. Syst. Sci. Int. 58, No. 4, 560--570 (2019; Zbl 1432.93064); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2019, No. 4, 62--73 (2019) Full Text: DOI
Ke, Yi-fen; Ma, Chang-feng The unified frame of alternating direction method of multipliers for three classes of matrix equations arising in control theory. (English) Zbl 1391.93093 Asian J. Control 20, No. 1, 437-454 (2018). MSC: 93B40 15A24 PDFBibTeX XMLCite \textit{Y.-f. Ke} and \textit{C.-f. Ma}, Asian J. Control 20, No. 1, 437--454 (2018; Zbl 1391.93093) Full Text: DOI
Shank, Stephen D.; Simoncini, Valeria; Szyld, Daniel B. Efficient low-rank solution of generalized Lyapunov equations. (English) Zbl 1348.65078 Numer. Math. 134, No. 2, 327-342 (2016). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{S. D. Shank} et al., Numer. Math. 134, No. 2, 327--342 (2016; Zbl 1348.65078) Full Text: DOI
Dong, Bo; Yu, Yan; Tian, Dan Dan Alternating projection method for sparse model updating problems. (English) Zbl 1360.65111 J. Eng. Math. 93, 159-173 (2015). MSC: 65F18 15A22 PDFBibTeX XMLCite \textit{B. Dong} et al., J. Eng. Math. 93, 159--173 (2015; Zbl 1360.65111) Full Text: DOI
Ke, Yi-Fen; Ma, Chang-Feng A preconditioned nested splitting conjugate gradient iterative method for the large sparse generalized Sylvester equation. (English) Zbl 1367.65051 Comput. Math. Appl. 68, No. 10, 1409-1420 (2014). MSC: 65F10 65F08 15A24 PDFBibTeX XMLCite \textit{Y.-F. Ke} and \textit{C.-F. Ma}, Comput. Math. Appl. 68, No. 10, 1409--1420 (2014; Zbl 1367.65051) Full Text: DOI
Zak, Mohammad Khorsand; Toutounian, Faezeh Nested splitting CG-like iterative method for solving the continuous Sylvester equation and preconditioning. (English) Zbl 1295.15011 Adv. Comput. Math. 40, No. 4, 865-880 (2014). MSC: 15A24 15A30 15A69 65F10 65F30 PDFBibTeX XMLCite \textit{M. K. Zak} and \textit{F. Toutounian}, Adv. Comput. Math. 40, No. 4, 865--880 (2014; Zbl 1295.15011) Full Text: DOI
Khorsand Zak, Mohammad; Toutounian, Faezeh Nested splitting conjugate gradient method for matrix equation \(AXB=C\) and preconditioning. (English) Zbl 1347.65078 Comput. Math. Appl. 66, No. 3, 269-278 (2013). MSC: 65F30 65F08 65F10 15A24 PDFBibTeX XMLCite \textit{M. Khorsand Zak} and \textit{F. Toutounian}, Comput. Math. Appl. 66, No. 3, 269--278 (2013; Zbl 1347.65078) Full Text: DOI
Kim, Hyea Hyun; Lee, Chang-Ock A two-level nonoverlapping Schwarz algorithm for the Stokes problem without primal pressure unknowns. (English) Zbl 1242.76126 Int. J. Numer. Methods Eng. 88, No. 13, 1390-1410 (2011). MSC: 76M10 76M25 76D07 PDFBibTeX XMLCite \textit{H. H. Kim} and \textit{C.-O. Lee}, Int. J. Numer. Methods Eng. 88, No. 13, 1390--1410 (2011; Zbl 1242.76126) Full Text: DOI
Nechaev, O. V.; Shurina, E. P.; Botchev, M. A. Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation. (English) Zbl 1142.65448 Comput. Math. Appl. 55, No. 10, 2346-2362 (2008). MSC: 65N30 65N22 78M10 PDFBibTeX XMLCite \textit{O. V. Nechaev} et al., Comput. Math. Appl. 55, No. 10, 2346--2362 (2008; Zbl 1142.65448) Full Text: DOI Link
Wang, Li; Bai, Zhong-Zhi Convergence conditions for splitting iteration methods for non-Hermitian linear systems. (English) Zbl 1135.65018 Linear Algebra Appl. 428, No. 2-3, 453-468 (2008). Reviewer: Michael Jung (Dresden) MSC: 65F10 PDFBibTeX XMLCite \textit{L. Wang} and \textit{Z.-Z. Bai}, Linear Algebra Appl. 428, No. 2--3, 453--468 (2008; Zbl 1135.65018) Full Text: DOI
Wang, Li Semiconvergence of two-stage iterative methods for singular linear systems. (English) Zbl 1116.65040 Linear Algebra Appl. 422, No. 2-3, 824-838 (2007). Reviewer: Dietrich Braess (Bochum) MSC: 65F10 PDFBibTeX XMLCite \textit{L. Wang}, Linear Algebra Appl. 422, No. 2--3, 824--838 (2007; Zbl 1116.65040) Full Text: DOI
Wang, Jing; Bai, Zhong-Zhi Convergence analysis of two-stage waveform relaxation method for the initial value problems. (English) Zbl 1101.65084 Appl. Math. Comput. 172, No. 2, 797-808 (2006). Reviewer: Nikolai L. Vulchanov (Warsaw) MSC: 65L20 65L05 34A34 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Z.-Z. Bai}, Appl. Math. Comput. 172, No. 2, 797--808 (2006; Zbl 1101.65084) Full Text: DOI
Ford, Judith M.; Chen, Ke; Evans, David On a recursive Schur preconditioner for iterative solution of a class of dense matrix problems. (English) Zbl 1052.65038 Int. J. Comput. Math. 80, No. 1, 105-122 (2003). Reviewer: José Mas (Valéncia) MSC: 65F35 65F10 65N22 65T60 PDFBibTeX XMLCite \textit{J. M. Ford} et al., Int. J. Comput. Math. 80, No. 1, 105--122 (2003; Zbl 1052.65038) Full Text: DOI
Cao, Zhihao; Evans, D. J. Convergence of two-stage iterative methods for singular symmetric positive semidefinite systems. (English) Zbl 0967.65044 Int. J. Comput. Math. 76, No. 3, 363-374 (2001). Reviewer: Emil Minchev (Sofia) MSC: 65F10 PDFBibTeX XMLCite \textit{Z. Cao} and \textit{D. J. Evans}, Int. J. Comput. Math. 76, No. 3, 363--374 (2001; Zbl 0967.65044) Full Text: DOI
Tong, Charles H.; Ye, Qiang Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems. (English) Zbl 0953.65017 Math. Comput. 69, No. 232, 1559-1575 (2000). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 PDFBibTeX XMLCite \textit{C. H. Tong} and \textit{Q. Ye}, Math. Comput. 69, No. 232, 1559--1575 (2000; Zbl 0953.65017) Full Text: DOI
Golub, Gene H.; Zhang, Zhenyue; Zha, Hongyuan Large sparse symmetric eigenvalue problems with homogeneous linear constraints: The Lanczos process with inner-outer iterations. (English) Zbl 0948.65033 Linear Algebra Appl. 309, No. 1-3, 289-306 (2000). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{G. H. Golub} et al., Linear Algebra Appl. 309, No. 1--3, 289--306 (2000; Zbl 0948.65033) Full Text: DOI
Bai, Zhong-Zhi The convergence of the two-stage iterative method for Hermitian positive definite linear systems. (English) Zbl 1337.65029 Appl. Math. Lett. 11, No. 2, 1-5 (1998). MSC: 65F10 15A06 PDFBibTeX XMLCite \textit{Z.-Z. Bai}, Appl. Math. Lett. 11, No. 2, 1--5 (1998; Zbl 1337.65029) Full Text: DOI
Andersson, Lars-Erik; Elfving, Tommy; Golub, Gene H. Solution of biharmonic equations with application to radar imaging. (English) Zbl 0933.65128 J. Comput. Appl. Math. 94, No. 2, 153-180 (1998). Reviewer: Michel Bernadou (Le Chesnay) MSC: 65N21 65N06 65N30 35R30 65F10 35J40 35J05 PDFBibTeX XMLCite \textit{L.-E. Andersson} et al., J. Comput. Appl. Math. 94, No. 2, 153--180 (1998; Zbl 0933.65128) Full Text: DOI
Zhao, Jinxi The generalized Cholesky factorization method for saddle point problems. (English) Zbl 0942.65029 Appl. Math. Comput. 92, No. 1, 49-58 (1998). MSC: 65F05 65K05 90C20 PDFBibTeX XMLCite \textit{J. Zhao}, Appl. Math. Comput. 92, No. 1, 49--58 (1998; Zbl 0942.65029) Full Text: DOI
Bai, Zhongzhi; Wang, Deren The monotone convergence of the two-stage iterative method for solving large sparse systems of linear equations. (English) Zbl 0885.65038 Appl. Math. Lett. 10, No. 1, 113-117 (1997). MSC: 65F10 65F50 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{D. Wang}, Appl. Math. Lett. 10, No. 1, 113--117 (1997; Zbl 0885.65038) Full Text: DOI
Evans, D. J.; Al-Wali, A. A. Inner-outer iterative techniques in the explicit alternating direction (EAD) method. (English) Zbl 1001.65506 Int. J. Comput. Math. 60, No. 3-4, 305-317 (1996). MSC: 65F10 PDFBibTeX XMLCite \textit{D. J. Evans} and \textit{A. A. Al-Wali}, Int. J. Comput. Math. 60, No. 3--4, 305--317 (1996; Zbl 1001.65506) Full Text: DOI
Migallón, Violeta; Penadés, José; Szyld, Daniel B. Block two-stages methods for singular systems and Markov chains. (English) Zbl 0906.65037 Numer. Linear Algebra Appl. 3, No. 5, 413-426 (1996). Reviewer: M.Práger (Praha) MSC: 65F10 65C99 60E05 60J10 PDFBibTeX XMLCite \textit{V. Migallón} et al., Numer. Linear Algebra Appl. 3, No. 5, 413--426 (1996; Zbl 0906.65037) Full Text: DOI
Frommer, Andreas; Szyld, Daniel B. \(H\)-splittings and two-stage iterative methods. (English) Zbl 0764.65018 Numer. Math. 63, No. 3, 345-356 (1992). Reviewer: M.Jung (Chemnitz) MSC: 65F10 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{D. B. Szyld}, Numer. Math. 63, No. 3, 345--356 (1992; Zbl 0764.65018) Full Text: DOI EuDML
Saylor, Paul E.; Smolarski, Dennis C. Implementation of an adaptive algorithm for Richardson’s method. (English) Zbl 0732.65022 Linear Algebra Appl. 154-156, 615-646 (1991). Reviewer: M.Jung (Chemnitz) MSC: 65F10 PDFBibTeX XMLCite \textit{P. E. Saylor} and \textit{D. C. Smolarski}, Linear Algebra Appl. 154--156, 615--646 (1991; Zbl 0732.65022) Full Text: DOI
Lanzkron, Paul J.; Rose, Donald J.; Szyld, Daniel B. Convergence of nested classical iterative methods for linear systems. (English) Zbl 0718.65022 Numer. Math. 58, No. 7, 685-702 (1991). Reviewer: F.Luban (Bucureşti) MSC: 65F10 PDFBibTeX XMLCite \textit{P. J. Lanzkron} et al., Numer. Math. 58, No. 7, 685--702 (1991; Zbl 0718.65022) Full Text: DOI EuDML
Zawilski, Adam T. Numerical stability of the cyclic Richardson iteration. (English) Zbl 0737.65030 Numer. Math. 60, No. 2, 251-290 (1991). MSC: 65F10 65F50 65F35 PDFBibTeX XMLCite \textit{A. T. Zawilski}, Numer. Math. 60, No. 2, 251--290 (1991; Zbl 0737.65030) Full Text: DOI EuDML
Dryja, M.; Proskurowski, W. Composite iterative method for elliptic problems in irregular regions. (English) Zbl 0702.65087 Appl. Numer. Math. 6, No. 4, 263-279 (1990). Reviewer: L.Boubelíková MSC: 65N30 65F10 35J25 PDFBibTeX XMLCite \textit{M. Dryja} and \textit{W. Proskurowski}, Appl. Numer. Math. 6, No. 4, 263--279 (1990; Zbl 0702.65087) Full Text: DOI
Keyes, David E.; Gropp, William D. Domain decomposition techniques for the parallel solution of nonsymmetric systems of elliptic boundary value problems. (English) Zbl 0694.65048 Appl. Numer. Math. 6, No. 4, 281-301 (1990). Reviewer: J.Albrycht MSC: 65N22 65F10 80A32 35J25 PDFBibTeX XMLCite \textit{D. E. Keyes} and \textit{W. D. Gropp}, Appl. Numer. Math. 6, No. 4, 281--301 (1990; Zbl 0694.65048) Full Text: DOI
Bank, Randolph E.; Welfert, Bruno D.; Yserentant, Harry A class of iterative methods for solving saddle point problems. (English) Zbl 0684.65031 Numer. Math. 56, No. 7, 645-666 (1990). Reviewer: A.Varga MSC: 65F10 65F50 65N22 65N30 76D07 PDFBibTeX XMLCite \textit{R. E. Bank} et al., Numer. Math. 56, No. 7, 645--666 (1990; Zbl 0684.65031) Full Text: DOI EuDML