Baglama, James; Perović, Vasilije; Toolan, Timothy Note on a rank-one modification of the singular value decomposition. (English) Zbl 07736201 Appl. Math. Comput. 457, Article ID 128170, 15 p. (2023). MSC: 65Fxx 15Axx 15-XX PDFBibTeX XMLCite \textit{J. Baglama} et al., Appl. Math. Comput. 457, Article ID 128170, 15 p. (2023; Zbl 07736201) Full Text: DOI
Barlow, Jesse L.; Eisenstat, Stanley C.; Stor, Nevena Jakovčević; Slapnicar, Ivan Deflation for the symmetric arrowhead and diagonal-plus-rank-one eigenvalue problems. (English) Zbl 1492.65085 SIAM J. Matrix Anal. Appl. 43, No. 2, 681-709 (2022). MSC: 65F15 65G50 15-04 15B99 PDFBibTeX XMLCite \textit{J. L. Barlow} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 681--709 (2022; Zbl 1492.65085) Full Text: DOI
Li, Shengguo; Rouet, François-Henry; Liu, Jie; Huang, Chun; Gao, Xingyu; Chi, Xuebin An efficient hybrid tridiagonal divide-and-conquer algorithm on distributed memory architectures. (English) Zbl 1391.65086 J. Comput. Appl. Math. 344, 512-520 (2018). MSC: 65F15 65Y05 68W10 PDFBibTeX XMLCite \textit{S. Li} et al., J. Comput. Appl. Math. 344, 512--520 (2018; Zbl 1391.65086) Full Text: DOI arXiv
Vogel, James; Xia, Jianlin; Cauley, Stephen; Balakrishnan, Venkataramanan Superfast divide-and-conquer method and perturbation analysis for structured eigenvalue solutions. (English) Zbl 1338.65104 SIAM J. Sci. Comput. 38, No. 3, A1358-A1382 (2016). MSC: 65F15 65F30 15A18 15A42 PDFBibTeX XMLCite \textit{J. Vogel} et al., SIAM J. Sci. Comput. 38, No. 3, A1358--A1382 (2016; Zbl 1338.65104) Full Text: DOI
Benner, Peter; Embree, Mark; Lehoucq, Richard B.; Kelley, C. T. A mathematical biography of Danny C. Sorensen. (English) Zbl 1238.01104 Linear Algebra Appl. 436, No. 8, 2717-2724 (2012). MSC: 01A70 PDFBibTeX XMLCite \textit{P. Benner} et al., Linear Algebra Appl. 436, No. 8, 2717--2724 (2012; Zbl 1238.01104) Full Text: DOI
Boonyasiriwat, C.; Sikorski, K.; Tsay, C. Circumscribed ellipsoid algorithm for fixed-point problems. (English) Zbl 1220.65064 Math. Comput. 80, No. 275, 1703-1723 (2011). MSC: 65J15 47H10 47J25 47H09 65H10 65Y20 PDFBibTeX XMLCite \textit{C. Boonyasiriwat} et al., Math. Comput. 80, No. 275, 1703--1723 (2011; Zbl 1220.65064) Full Text: DOI
Kaya, Doǧan The symmetric tridiagonal eigenproblem on a shared memory multiprocessor. II. (English) Zbl 1068.65047 Appl. Math. Comput. 163, No. 1, 213-244 (2005). MSC: 65F15 65F50 65Y05 65Y15 PDFBibTeX XMLCite \textit{D. Kaya}, Appl. Math. Comput. 163, No. 1, 213--244 (2005; Zbl 1068.65047) Full Text: DOI
Kaya, Doǧan The symmetric tridigonal eigenproblem on a shared memory multiprocessor. I. (English) Zbl 1057.65017 Appl. Math. Comput. 156, No. 1, 189-209 (2004). MSC: 65F15 65Y05 68N19 65Y15 PDFBibTeX XMLCite \textit{D. Kaya}, Appl. Math. Comput. 156, No. 1, 189--209 (2004; Zbl 1057.65017) Full Text: DOI
Warschkow, Oliver; Dyke, John M.; Ellis, Donald E. A divide-and-conquer implementation of the discrete variational DFT method for large molecular and solid systems. (English) Zbl 0919.65077 J. Comput. Phys. 143, No. 1, 70-89 (1998). Reviewer: P.K.Mahanti (Ranchi) MSC: 65Z05 81V55 35Q40 PDFBibTeX XMLCite \textit{O. Warschkow} et al., J. Comput. Phys. 143, No. 1, 70--89 (1998; Zbl 0919.65077) Full Text: DOI
Melman, A. A numerical comparison of methods for solving secular equations. (English) Zbl 0889.65037 J. Comput. Appl. Math. 86, No. 1, 237-249 (1997). Reviewer: Z.Dostál (Ostrava) MSC: 65F15 65H05 PDFBibTeX XMLCite \textit{A. Melman}, J. Comput. Appl. Math. 86, No. 1, 237--249 (1997; Zbl 0889.65037) Full Text: DOI
Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jeffrey, D. J.; Knuth, D. E. On the Lambert \(w\) function. (English) Zbl 0863.65008 Adv. Comput. Math. 5, No. 4, 329-359 (1996). Reviewer: R.S.Dahiya (Ames) MSC: 65E05 30E10 65D20 PDFBibTeX XMLCite \textit{R. M. Corless} et al., Adv. Comput. Math. 5, No. 4, 329--359 (1996; Zbl 0863.65008) Full Text: DOI
Morandi Cecchi, M.; Di Nardo, E. The modified bordering method to evaluate eigenvalues and eigenvectors of normal matrices. (English) Zbl 0856.65034 Numer. Algorithms 11, No. 1-4, 285-309 (1996). Reviewer: A.L.Andrew (Bundoora) MSC: 65F15 PDFBibTeX XMLCite \textit{M. Morandi Cecchi} and \textit{E. Di Nardo}, Numer. Algorithms 11, No. 1--4, 285--309 (1996; Zbl 0856.65034) Full Text: DOI
Jessup, E. R. A case against a divide and conquer approach to the nonsymmetric eigenvalue problem. (English) Zbl 0782.65052 Appl. Numer. Math. 12, No. 5, 403-420 (1993). Reviewer: J.Zítko (Praha) MSC: 65F15 65Y05 65H05 30C15 PDFBibTeX XMLCite \textit{E. R. Jessup}, Appl. Numer. Math. 12, No. 5, 403--420 (1993; Zbl 0782.65052) Full Text: DOI
Swarztrauber, Paul N. A parallel algorithm for computing the eigenvalues of a symmetric tridiagonal matrix. (English) Zbl 0777.65023 Math. Comput. 60, No. 202, 651-668 (1993). Reviewer: P.K.Mahanti (Ranchi) MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{P. N. Swarztrauber}, Math. Comput. 60, No. 202, 651--668 (1993; Zbl 0777.65023) Full Text: DOI
Demmel, James W.; Gragg, William On computing accurate singular values and eigenvalues of matrices with acyclic graphs. (English) Zbl 0770.65021 Linear Algebra Appl. 185, 203-217 (1993). Reviewer: P.Narain (Bombay) MSC: 65F15 PDFBibTeX XMLCite \textit{J. W. Demmel} and \textit{W. Gragg}, Linear Algebra Appl. 185, 203--217 (1993; Zbl 0770.65021) Full Text: DOI
Li, Kuiyuan; Li, Tien-Yien A homotopy algorithm for a symmetric generalized eigenproblem. (English) Zbl 0779.65024 Numer. Algorithms 4, No. 1-2, 167-195 (1993). Reviewer: E.L.Allgower (Fort Collins) MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{K. Li} and \textit{T.-Y. Li}, Numer. Algorithms 4, No. 1--2, 167--195 (1993; Zbl 0779.65024) Full Text: DOI