Li, Tianyi; Abdelmoula, Radhi Gradient damage analysis of a cylinder under torsion: bifurcation and size effects. (English) Zbl 07353200 J. Elasticity 143, No. 2, 209-237 (2021). MSC: 47J30 74G10 74G60 74R10 PDFBibTeX XMLCite \textit{T. Li} and \textit{R. Abdelmoula}, J. Elasticity 143, No. 2, 209--237 (2021; Zbl 07353200) Full Text: DOI
Zhou, Ming; Neymeyr, Klaus Cluster robust estimates for block gradient-type eigensolvers. (English) Zbl 1416.65100 Math. Comput. 88, No. 320, 2737-2765 (2019). MSC: 65F15 65N12 65N25 PDFBibTeX XMLCite \textit{M. Zhou} and \textit{K. Neymeyr}, Math. Comput. 88, No. 320, 2737--2765 (2019; Zbl 1416.65100) Full Text: DOI Link
Antoine, Xavier; Levitt, Antoine; Tang, Qinglin Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods. (English) Zbl 1380.81496 J. Comput. Phys. 343, 92-109 (2017). MSC: 81V70 49M25 PDFBibTeX XMLCite \textit{X. Antoine} et al., J. Comput. Phys. 343, 92--109 (2017; Zbl 1380.81496) Full Text: DOI arXiv
Wen, Zaiwen; Yang, Chao; Liu, Xin; Zhang, Yin Trace-penalty minimization for large-scale eigenspace computation. (English) Zbl 1373.65026 J. Sci. Comput. 66, No. 3, 1175-1203 (2016). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 65K05 90C06 15A22 65Y20 PDFBibTeX XMLCite \textit{Z. Wen} et al., J. Sci. Comput. 66, No. 3, 1175--1203 (2016; Zbl 1373.65026) Full Text: DOI Link
Dunning, Peter D.; Ovtchinnikov, Evgueni; Scott, Jennifer; Kim, H. Alicia Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver. (English) Zbl 1352.74237 Int. J. Numer. Methods Eng. 107, No. 12, 1029-1053 (2016). MSC: 74P15 65F15 74S30 74G65 PDFBibTeX XMLCite \textit{P. D. Dunning} et al., Int. J. Numer. Methods Eng. 107, No. 12, 1029--1053 (2016; Zbl 1352.74237) Full Text: DOI Link
Imakura, Akira; Li, Ren-Cang; Zhang, Shao-Liang Locally optimal and heavy ball GMRES methods. (English) Zbl 1354.65063 Japan J. Ind. Appl. Math. 33, No. 2, 471-499 (2016). MSC: 65F10 PDFBibTeX XMLCite \textit{A. Imakura} et al., Japan J. Ind. Appl. Math. 33, No. 2, 471--499 (2016; Zbl 1354.65063) Full Text: DOI
Bai, ZhaoJun; Li, RenCang; Lin, WenWei Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods. (English) Zbl 1358.65021 Sci. China, Math. 59, No. 8, 1443-1460 (2016). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65F15 65F05 PDFBibTeX XMLCite \textit{Z. Bai} et al., Sci. China, Math. 59, No. 8, 1443--1460 (2016; Zbl 1358.65021) Full Text: DOI
Szyld, Daniel B.; Xue, Fei Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I: Extreme eigenvalues. (English) Zbl 1344.65045 Math. Comput. 85, No. 302, 2887-2918 (2016). MSC: 65F15 65F08 PDFBibTeX XMLCite \textit{D. B. Szyld} and \textit{F. Xue}, Math. Comput. 85, No. 302, 2887--2918 (2016; Zbl 1344.65045) Full Text: DOI
Ulbrich, Michael; Wen, Zaiwen; Yang, Chao; Klöckner, Dennis; Lu, Zhaosong A proximal gradient method for ensemble density functional theory. (English) Zbl 1325.65095 SIAM J. Sci. Comput. 37, No. 4, A1975-A2002 (2015). MSC: 65K10 15A18 65F15 90C26 90C30 PDFBibTeX XMLCite \textit{M. Ulbrich} et al., SIAM J. Sci. Comput. 37, No. 4, A1975--A2002 (2015; Zbl 1325.65095) Full Text: DOI
Kressner, Daniel; Pandur, Marija Miloloža; Shao, Meiyue An indefinite variant of LOBPCG for definite matrix pencils. (English) Zbl 1297.65040 Numer. Algorithms 66, No. 4, 681-703 (2014). MSC: 65F15 65F08 15A22 PDFBibTeX XMLCite \textit{D. Kressner} et al., Numer. Algorithms 66, No. 4, 681--703 (2014; Zbl 1297.65040) Full Text: DOI Link
Sousedík, Bedřich; Šístek, Jakub; Mandel, Jan Adaptive-multilevel BDDC and its parallel implementation. (English) Zbl 1307.65175 Computing 95, No. 12, 1087-1119 (2013). MSC: 65N55 65N12 35J40 74B05 74S30 65F08 PDFBibTeX XMLCite \textit{B. Sousedík} et al., Computing 95, No. 12, 1087--1119 (2013; Zbl 1307.65175) Full Text: DOI arXiv
Voormeeren, Sven; Rixen, Daniel Updating component reduction bases of static and vibration modes using preconditioned iterative techniques. (English) Zbl 1297.70013 Comput. Methods Appl. Mech. Eng. 253, 39-59 (2013). MSC: 70J35 70-08 65L15 PDFBibTeX XMLCite \textit{S. Voormeeren} and \textit{D. Rixen}, Comput. Methods Appl. Mech. Eng. 253, 39--59 (2013; Zbl 1297.70013) Full Text: DOI
Bergamaschi, Luca; Martínez, Àngeles Banded target matrices and recursive FSAI for parallel preconditioning. (English) Zbl 1257.65015 Numer. Algorithms 61, No. 2, 223-241 (2012). MSC: 65F08 65F10 65Y05 PDFBibTeX XMLCite \textit{L. Bergamaschi} and \textit{À. Martínez}, Numer. Algorithms 61, No. 2, 223--241 (2012; Zbl 1257.65015) Full Text: DOI
Ghezzi, L.; Pavarino, L. F.; Zampieri, E. Overlapping Schwarz preconditioned eigensolvers for spectral element discretizations. (English) Zbl 1242.65231 Appl. Math. Comput. 218, No. 15, 7700-7710 (2012). MSC: 65N25 35P15 65N35 65F10 65F08 PDFBibTeX XMLCite \textit{L. Ghezzi} et al., Appl. Math. Comput. 218, No. 15, 7700--7710 (2012; Zbl 1242.65231) Full Text: DOI
Fattebert, J.-L. Accelerated block preconditioned gradient method for large scale wave functions calculations in density functional theory. (English) Zbl 1183.82004 J. Comput. Phys. 229, No. 2, 441-452 (2010). MSC: 82B10 65H10 65N06 PDFBibTeX XMLCite \textit{J. L. Fattebert}, J. Comput. Phys. 229, No. 2, 441--452 (2010; Zbl 1183.82004) Full Text: DOI
Ovtchinnikov, E. E. Computing several eigenpairs of Hermitian problems by conjugate gradient iterations. (English) Zbl 1153.65037 J. Comput. Phys. 227, No. 22, 9477-9497 (2008). MSC: 65F15 PDFBibTeX XMLCite \textit{E. E. Ovtchinnikov}, J. Comput. Phys. 227, No. 22, 9477--9497 (2008; Zbl 1153.65037) Full Text: DOI
Hetmaniuk, U.; Lehoucq, R. Basis selection in LOBPCG. (English) Zbl 1104.65031 J. Comput. Phys. 218, No. 1, 324-332 (2006). MSC: 65F15 65F35 PDFBibTeX XMLCite \textit{U. Hetmaniuk} and \textit{R. Lehoucq}, J. Comput. Phys. 218, No. 1, 324--332 (2006; Zbl 1104.65031) Full Text: DOI
Solov’ëv, Sergey I. Preconditioned iterative methods for a class of nonlinear eigenvalue problems. (English) Zbl 1095.65033 Linear Algebra Appl. 415, No. 1, 210-229 (2006). Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy) MSC: 65F15 65F35 34L16 65L15 PDFBibTeX XMLCite \textit{S. I. Solov'ëv}, Linear Algebra Appl. 415, No. 1, 210--229 (2006; Zbl 1095.65033) Full Text: DOI
Ovtchinnikov, E. Cluster robustness of preconditioned gradient subspace iteration eigensolvers. (English) Zbl 1101.65038 Linear Algebra Appl. 415, No. 1, 140-166 (2006). Reviewer: Daniel Kressner (Zagreb) MSC: 65F15 65F35 PDFBibTeX XMLCite \textit{E. Ovtchinnikov}, Linear Algebra Appl. 415, No. 1, 140--166 (2006; Zbl 1101.65038) Full Text: DOI
Neymeyr, Klaus A geometric theory for preconditioned inverse iteration IV: On the fastest convergence cases. (English) Zbl 1088.65034 Linear Algebra Appl. 415, No. 1, 114-139 (2006). MSC: 65F15 65F35 35J25 65F10 PDFBibTeX XMLCite \textit{K. Neymeyr}, Linear Algebra Appl. 415, No. 1, 114--139 (2006; Zbl 1088.65034) Full Text: DOI
Knyazev, Andrew V.; Neymeyr, Klaus A geometric theory for preconditioned inverse iteration. III: A short and sharp convergence estimate for generalized eigenvalue problems. (English) Zbl 1037.65039 Linear Algebra Appl. 358, No. 1-3, 95-114 (2003). Reviewer: Ludwig Elsner (Bielefeld) MSC: 65F15 65F35 PDFBibTeX XMLCite \textit{A. V. Knyazev} and \textit{K. Neymeyr}, Linear Algebra Appl. 358, No. 1--3, 95--114 (2003; Zbl 1037.65039) Full Text: DOI
Knyazev, Andrew V. Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method. (English) Zbl 0992.65028 SIAM J. Sci. Comput. 23, No. 2, 517-541 (2001). MSC: 65F15 65F35 PDFBibTeX XMLCite \textit{A. V. Knyazev}, SIAM J. Sci. Comput. 23, No. 2, 517--541 (2001; Zbl 0992.65028) Full Text: DOI