Kalantzis, Vassilis; Xi, Yuanzhe; Horesh, Lior Fast randomized non-Hermitian eigensolvers based on rational filtering and matrix partitioning. (English) Zbl 07418130 SIAM J. Sci. Comput. 43, No. 5, S791-S815 (2021). MSC: 65F15 15A18 65F50 PDFBibTeX XMLCite \textit{V. Kalantzis} et al., SIAM J. Sci. Comput. 43, No. 5, S791--S815 (2021; Zbl 07418130) Full Text: DOI arXiv
Lorin, Emmanuel; Tian, Simon A numerical study of fractional linear algebraic systems. (English) Zbl 1524.65198 Math. Comput. Simul. 182, 495-513 (2021). MSC: 65F60 15A06 15A16 PDFBibTeX XMLCite \textit{E. Lorin} and \textit{S. Tian}, Math. Comput. Simul. 182, 495--513 (2021; Zbl 1524.65198) Full Text: DOI
Liu, Xiao; Xi, Yuanzhe; Saad, Yousef; de Hoop, Maarten V. Solving the three-dimensional high-frequency Helmholtz equation using contour integration and polynomial preconditioning. (English) Zbl 1434.65234 SIAM J. Matrix Anal. Appl. 41, No. 1, 58-82 (2020). MSC: 65N22 15A06 65F08 65F10 65Y20 PDFBibTeX XMLCite \textit{X. Liu} et al., SIAM J. Matrix Anal. Appl. 41, No. 1, 58--82 (2020; Zbl 1434.65234) Full Text: DOI arXiv
Yin, Guojian A contour-integral based method with Schur-Rayleigh-Ritz procedure for generalized eigenvalue problems. (English) Zbl 1444.65012 J. Sci. Comput. 81, No. 1, 252-270 (2019). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65F22 15A18 58C40 PDFBibTeX XMLCite \textit{G. Yin}, J. Sci. Comput. 81, No. 1, 252--270 (2019; Zbl 1444.65012) Full Text: DOI
Yin, Guojian A harmonic FEAST algorithm for non-Hermitian generalized eigenvalue problems. (English) Zbl 1431.65048 Linear Algebra Appl. 578, 75-94 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{G. Yin}, Linear Algebra Appl. 578, 75--94 (2019; Zbl 1431.65048) Full Text: DOI
Yin, Guojian A contour-integral based method for counting the eigenvalues inside a region. (English) Zbl 1417.65117 J. Sci. Comput. 78, No. 3, 1942-1961 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{G. Yin}, J. Sci. Comput. 78, No. 3, 1942--1961 (2019; Zbl 1417.65117) Full Text: DOI
Yin, Guojian On the non-Hermitian FEAST algorithms with oblique projection for eigenvalue problems. (English) Zbl 1415.65094 J. Comput. Appl. Math. 355, 23-35 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{G. Yin}, J. Comput. Appl. Math. 355, 23--35 (2019; Zbl 1415.65094) Full Text: DOI
Zheng, Chang-Jun; Bi, Chuan-Xing; Zhang, Chuanzeng; Gao, Hai-Feng; Chen, Hai-Bo Free vibration analysis of elastic structures submerged in an infinite or semi-infinite fluid domain by means of a coupled FE-BE solver. (English) Zbl 1383.74090 J. Comput. Phys. 359, 183-198 (2018). MSC: 74S05 74S15 74H45 74F10 PDFBibTeX XMLCite \textit{C.-J. Zheng} et al., J. Comput. Phys. 359, 183--198 (2018; Zbl 1383.74090) Full Text: DOI
Ye, Xin; Xia, Jianlin; Chan, Raymond H.; Cauley, Stephen; Balakrishnan, Venkataramanan A fast contour-integral eigensolver for non-Hermitian matrices. (English) Zbl 1387.65037 SIAM J. Matrix Anal. Appl. 38, No. 4, 1268-1297 (2017). MSC: 65F15 15A18 65D30 65F05 65F30 PDFBibTeX XMLCite \textit{X. Ye} et al., SIAM J. Matrix Anal. Appl. 38, No. 4, 1268--1297 (2017; Zbl 1387.65037) Full Text: DOI
Yin, Guojian; Chan, Raymond H.; Yeung, Man-Chung A FEAST algorithm with oblique projection for generalized eigenvalue problems. (English) Zbl 1463.65078 Numer. Linear Algebra Appl. 24, No. 4, e2092, 15 p. (2017). MSC: 65F15 PDFBibTeX XMLCite \textit{G. Yin} et al., Numer. Linear Algebra Appl. 24, No. 4, e2092, 15 p. (2017; Zbl 1463.65078) Full Text: DOI arXiv
Xi, Yuanzhe; Saad, Yousef A rational function preconditioner for indefinite sparse linear systems. (English) Zbl 1368.65044 SIAM J. Sci. Comput. 39, No. 3, A1145-A1167 (2017). MSC: 65F08 65F50 35J05 65N22 PDFBibTeX XMLCite \textit{Y. Xi} and \textit{Y. Saad}, SIAM J. Sci. Comput. 39, No. 3, A1145--A1167 (2017; Zbl 1368.65044) Full Text: DOI
Zheng, C. J.; Zhang, C.; Bi, C. X.; Gao, H. F.; Du, L.; Chen, H. B. Coupled FE-BE method for eigenvalue analysis of elastic structures submerged in an infinite fluid domain. (English) Zbl 1365.74072 Int. J. Numer. Methods Eng. 110, No. 2, 163-185 (2017). MSC: 74F10 65N06 65N25 65N38 65N85 65D30 PDFBibTeX XMLCite \textit{C. J. Zheng} et al., Int. J. Numer. Methods Eng. 110, No. 2, 163--185 (2017; Zbl 1365.74072) Full Text: DOI
Barkatou, Moulay; Boito, Paola; Segura Ugalde, Esteban A contour integral approach to the computation of invariant pairs. (English) Zbl 1375.65057 Theor. Comput. Sci. 681, 3-26 (2017). MSC: 65F15 15A54 PDFBibTeX XMLCite \textit{M. Barkatou} et al., Theor. Comput. Sci. 681, 3--26 (2017; Zbl 1375.65057) Full Text: DOI arXiv
Misawa, Ryota; Niino, Kazuki; Nishimura, Naoshi Boundary integral equations for calculating complex eigenvalues of transmission problems. (English) Zbl 1365.35101 SIAM J. Appl. Math. 77, No. 2, 770-788 (2017). MSC: 35P25 31A10 45C05 35J05 35Q60 PDFBibTeX XMLCite \textit{R. Misawa} et al., SIAM J. Appl. Math. 77, No. 2, 770--788 (2017; Zbl 1365.35101) Full Text: DOI arXiv
Imakura, Akira; Du, Lei; Sakurai, Tetsuya Relationships among contour integral-based methods for solving generalized eigenvalue problems. (English) Zbl 1375.65058 Japan J. Ind. Appl. Math. 33, No. 3, 721-750 (2016). Reviewer: Frank Uhlig (Auburn) MSC: 65F15 65F50 65E05 30E20 PDFBibTeX XMLCite \textit{A. Imakura} et al., Japan J. Ind. Appl. Math. 33, No. 3, 721--750 (2016; Zbl 1375.65058) Full Text: DOI arXiv
Zheng, Chang-Jun; Gao, Hai-Feng; Du, Lei; Chen, Hai-Bo; Zhang, Chuanzeng An accurate and efficient acoustic eigensolver based on a fast multipole BEM and a contour integral method. (English) Zbl 1349.76421 J. Comput. Phys. 305, 677-699 (2016). MSC: 76M15 65N38 65N25 76Q05 PDFBibTeX XMLCite \textit{C.-J. Zheng} et al., J. Comput. Phys. 305, 677--699 (2016; Zbl 1349.76421) Full Text: DOI
Zeng, Fang; Sun, JiGuang; Xu, LiWei A spectral projection method for transmission eigenvalues. (English) Zbl 1349.35265 Sci. China, Math. 59, No. 8, 1613-1622 (2016). MSC: 35P30 65M38 31A10 PDFBibTeX XMLCite \textit{F. Zeng} et al., Sci. China, Math. 59, No. 8, 1613--1622 (2016; Zbl 1349.35265) Full Text: DOI arXiv
Xi, Yuanzhe; Saad, Yousef Computing partial spectra with least-squares rational filters. (English) Zbl 1351.65026 SIAM J. Sci. Comput. 38, No. 5, A3020-A3045 (2016). MSC: 65F15 65F10 65F20 PDFBibTeX XMLCite \textit{Y. Xi} and \textit{Y. Saad}, SIAM J. Sci. Comput. 38, No. 5, A3020--A3045 (2016; Zbl 1351.65026) Full Text: DOI
Van Barel, Marc Designing rational filter functions for solving eigenvalue problems by contour integration. (English) Zbl 1386.65115 Linear Algebra Appl. 502, 346-365 (2016). MSC: 65F15 47J10 30E05 30E20 PDFBibTeX XMLCite \textit{M. Van Barel}, Linear Algebra Appl. 502, 346--365 (2016; Zbl 1386.65115) Full Text: DOI
Imakura, Akira; Du, Lei; Sakurai, Tetsuya Error bounds of Rayleigh-Ritz type contour integral-based eigensolver for solving generalized eigenvalue problems. (English) Zbl 1333.65039 Numer. Algorithms 71, No. 1, 103-120 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 15A18 65F50 PDFBibTeX XMLCite \textit{A. Imakura} et al., Numer. Algorithms 71, No. 1, 103--120 (2016; Zbl 1333.65039) Full Text: DOI
Chen, Xiao-Ping; Dai, Hua A novel numerical method to determine the algebraic multiplicity of nonlinear eigenvalues. (English) Zbl 1410.65204 Appl. Math. Comput. 271, 344-351 (2015). MSC: 65H17 15A18 PDFBibTeX XMLCite \textit{X.-P. Chen} and \textit{H. Dai}, Appl. Math. Comput. 271, 344--351 (2015; Zbl 1410.65204) Full Text: DOI
Engström, Christian; Grubišić, Luka A subspace iteration algorithm for Fredholm valued functions. (English) Zbl 1394.65163 Math. Probl. Eng. 2015, Article ID 459895, 14 p. (2015). MSC: 65R20 45B05 47A10 PDFBibTeX XMLCite \textit{C. Engström} and \textit{L. Grubišić}, Math. Probl. Eng. 2015, Article ID 459895, 14 p. (2015; Zbl 1394.65163) Full Text: DOI
Austin, Anthony P.; Trefethen, Lloyd N. Computing eigenvalues of real symmetric matrices with rational filters in real arithmetic. (English) Zbl 1328.15016 SIAM J. Sci. Comput. 37, No. 3, A1365-A1387 (2015). MSC: 15A18 41A20 65F15 PDFBibTeX XMLCite \textit{A. P. Austin} and \textit{L. N. Trefethen}, SIAM J. Sci. Comput. 37, No. 3, A1365--A1387 (2015; Zbl 1328.15016) Full Text: DOI Link