Gissler, Armand; Auger, Anne; Hansen, Nikolaus Asymptotic estimations of a perturbed symmetric eigenproblem. (English) Zbl 07809659 Appl. Math. Lett. 150, Article ID 108951, 5 p. (2024). Reviewer: Tin Yau Tam (Reno) MSC: 15A18 15A42 15B57 47A55 PDFBibTeX XMLCite \textit{A. Gissler} et al., Appl. Math. Lett. 150, Article ID 108951, 5 p. (2024; Zbl 07809659) Full Text: DOI arXiv
Reyes, M. A.; Dalfó, C.; Fiol, M. A.; Messegué, A. On the spectra of token graphs of cycles and other graphs. (English) Zbl 07761750 Linear Algebra Appl. 679, 38-66 (2023). MSC: 05C15 05C10 05C50 PDFBibTeX XMLCite \textit{M. A. Reyes} et al., Linear Algebra Appl. 679, 38--66 (2023; Zbl 07761750) Full Text: DOI arXiv
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
Dax, Achiya Kaczmarz’s anomaly: a surprising feature of Kaczmarz’s method. (English) Zbl 1511.65028 Linear Algebra Appl. 662, 136-162 (2023). MSC: 65F10 65F15 65F25 65F50 15B52 PDFBibTeX XMLCite \textit{A. Dax}, Linear Algebra Appl. 662, 136--162 (2023; Zbl 1511.65028) Full Text: DOI
Fasino, Dario Orthogonal Cauchy-like matrices. (English) Zbl 1508.65037 Numer. Algorithms 92, No. 1, 619-637 (2023). MSC: 65F25 15B10 PDFBibTeX XMLCite \textit{D. Fasino}, Numer. Algorithms 92, No. 1, 619--637 (2023; Zbl 1508.65037) Full Text: DOI
Lita da Silva, João On the spectral properties of real antitridiagonal Hankel matrices. (English) Zbl 1504.15026 Spec. Matrices 11, Article ID 2022-0174, 11 p. (2023). Reviewer: Antoine Mhanna (Kfardebian) MSC: 15A18 15B05 PDFBibTeX XMLCite \textit{J. Lita da Silva}, Spec. Matrices 11, Article ID 2022--0174, 11 p. (2023; Zbl 1504.15026) Full Text: DOI arXiv
Wang, Yifei; Chen, Peng; Li, Wuchen Projected Wasserstein gradient descent for high-dimensional Bayesian inference. (English) Zbl 1506.62270 SIAM/ASA J. Uncertain. Quantif. 10, 1513-1532 (2022). MSC: 62F15 PDFBibTeX XMLCite \textit{Y. Wang} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1513--1532 (2022; Zbl 1506.62270) Full Text: DOI arXiv
Mania, Horia; Jordan, Michael I.; Recht, Benjamin Active learning for nonlinear system identification with guarantees. (English) Zbl 07625185 J. Mach. Learn. Res. 23, Paper No. 32, 30 p. (2022). MSC: 68T05 PDFBibTeX XMLCite \textit{H. Mania} et al., J. Mach. Learn. Res. 23, Paper No. 32, 30 p. (2022; Zbl 07625185) Full Text: arXiv Link
Ou, Xiaofeng; Xia, Jianlin SuperDC: superfast divide-and-conquer eigenvalue decomposition with improved stability for rank-structured matrices. (English) Zbl 1501.65019 SIAM J. Sci. Comput. 44, No. 5, A3041-A3066 (2022). MSC: 65F15 65F55 15A18 15A23 PDFBibTeX XMLCite \textit{X. Ou} and \textit{J. Xia}, SIAM J. Sci. Comput. 44, No. 5, A3041--A3066 (2022; Zbl 1501.65019) Full Text: DOI
Haberstich, Cécile; Nouy, Anthony; Perrin, Guillaume Boosted optimal weighted least-squares. (English) Zbl 07506851 Math. Comput. 91, No. 335, 1281-1315 (2022). MSC: 65-XX 41A10 41A65 93E24 65D05 65D15 PDFBibTeX XMLCite \textit{C. Haberstich} et al., Math. Comput. 91, No. 335, 1281--1315 (2022; Zbl 07506851) Full Text: DOI arXiv
Hamdipoor, Vahid; Moon, Jun; Kim, Yoonsoo Stability margin of undirected homogeneous relative sensing networks: a geometric perspective. (English) Zbl 1478.93489 Syst. Control Lett. 156, Article ID 105027, 7 p. (2021). MSC: 93D09 93B27 93B70 93B52 PDFBibTeX XMLCite \textit{V. Hamdipoor} et al., Syst. Control Lett. 156, Article ID 105027, 7 p. (2021; Zbl 1478.93489) Full Text: DOI
Zimmermann, Ralf A geometric approach to subspace updates and orthogonal matrix decompositions under rank-one modifications. (English) Zbl 1456.15026 Math. Comput. 90, No. 328, 671-688 (2021). MSC: 15B10 15A23 65F15 65F25 PDFBibTeX XMLCite \textit{R. Zimmermann}, Math. Comput. 90, No. 328, 671--688 (2021; Zbl 1456.15026) Full Text: DOI arXiv
Kahl, Karsten; Lang, Bruno Hypergraph edge elimination – a symbolic phase for Hermitian eigensolvers based on rank-1 modifications. (English) Zbl 1456.65026 ETNA, Electron. Trans. Numer. Anal. 54, 51-67 (2021). MSC: 65F15 05C50 05C65 65F50 PDFBibTeX XMLCite \textit{K. Kahl} and \textit{B. Lang}, ETNA, Electron. Trans. Numer. Anal. 54, 51--67 (2021; Zbl 1456.65026) Full Text: DOI Link
Olver, Sheehan; Slevinsky, Richard Mikaël; Townsend, Alex Fast algorithms using orthogonal polynomials. (English) Zbl 07674566 Acta Numerica 29, 573-699 (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{S. Olver} et al., Acta Numerica 29, 573--699 (2020; Zbl 07674566) Full Text: DOI
Wang, Yunjie; Wu, Gang Refined bounds on the number of distinct eigenvalues of a matrix after low-rank update. (English) Zbl 07299226 Linear Multilinear Algebra 68, No. 5, 903-914 (2020). MSC: 65F15 65F10 65F55 15A18 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{G. Wu}, Linear Multilinear Algebra 68, No. 5, 903--914 (2020; Zbl 07299226) Full Text: DOI arXiv
Lita da Silva, João Spectral properties of anti-heptadiagonal persymmetric Hankel matrices. (English) Zbl 1450.15008 Banach J. Math. Anal. 14, No. 4, 1387-1420 (2020). Reviewer: Wei-Ru Xu (Chengdu) MSC: 15A18 15A20 15B05 11C20 PDFBibTeX XMLCite \textit{J. Lita da Silva}, Banach J. Math. Anal. 14, No. 4, 1387--1420 (2020; Zbl 1450.15008) Full Text: DOI arXiv
Mitz, Roy; Sharon, Nir; Shkolnisky, Yoel Symmetric rank-one updates from partial spectrum with an application to out-of-sample extension. (English) Zbl 1459.15010 SIAM J. Matrix Anal. Appl. 40, No. 3, 973-997 (2019). MSC: 15A18 47A55 PDFBibTeX XMLCite \textit{R. Mitz} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 973--997 (2019; Zbl 1459.15010) Full Text: DOI arXiv
Wang, Xiang; Li, Xing; Zhang, Lei-Hong; Li, Ren-Cang An efficient numerical method for the symmetric positive definite second-order cone linear complementarity problem. (English) Zbl 1418.90265 J. Sci. Comput. 79, No. 3, 1608-1629 (2019). MSC: 90C33 65K05 65F99 65F15 65F30 65P99 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Sci. Comput. 79, No. 3, 1608--1629 (2019; Zbl 1418.90265) Full Text: DOI
Bénasséni, Jacques; Mom, Alain Inequalities for the eigenvectors associated to extremal eigenvalues in rank one perturbations of symmetric matrices. (English) Zbl 1414.15009 Linear Algebra Appl. 570, 123-137 (2019). MSC: 15A18 15A42 PDFBibTeX XMLCite \textit{J. Bénasséni} and \textit{A. Mom}, Linear Algebra Appl. 570, 123--137 (2019; Zbl 1414.15009) Full Text: DOI HAL
Cardot, Hervé; Degras, David Online principal component analysis in high dimension: which algorithm to choose? (English) Zbl 07763574 Int. Stat. Rev. 86, No. 1, 29-50 (2018). MSC: 62-XX PDFBibTeX XMLCite \textit{H. Cardot} and \textit{D. Degras}, Int. Stat. Rev. 86, No. 1, 29--50 (2018; Zbl 07763574) Full Text: DOI arXiv
Liu, Furui; Chan, Laiwan Confounder detection in high-dimensional linear models using first moments of spectral measures. (English) Zbl 1475.62242 Neural Comput. 30, No. 8, 2284-2318 (2018). MSC: 62M15 62J05 PDFBibTeX XMLCite \textit{F. Liu} and \textit{L. Chan}, Neural Comput. 30, No. 8, 2284--2318 (2018; Zbl 1475.62242) Full Text: DOI arXiv
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
Moon, Sunyo; Park, Seungkook Upper bound for the number of distinct eigenvalues of a perturbed matrix. (English) Zbl 1392.15021 Electron. J. Linear Algebra 34, 115-124 (2018). Reviewer: Edward L. Pekarev (Odessa) MSC: 15A18 65F15 47A55 PDFBibTeX XMLCite \textit{S. Moon} and \textit{S. Park}, Electron. J. Linear Algebra 34, 115--124 (2018; Zbl 1392.15021)
Chung, Julianne; Saibaba, Arvind K. Generalized hybrid iterative methods for large-scale Bayesian inverse problems. (English) Zbl 1422.65065 SIAM J. Sci. Comput. 39, No. 5, S24-S46 (2017). MSC: 65F22 65F20 65F30 15A29 PDFBibTeX XMLCite \textit{J. Chung} and \textit{A. K. Saibaba}, SIAM J. Sci. Comput. 39, No. 5, S24--S46 (2017; Zbl 1422.65065) Full Text: DOI arXiv
Shang, Jun; Chen, Maoyin; Ji, Hongquan; Zhou, Donghua Recursive transformed component statistical analysis for incipient fault detection. (English) Zbl 1370.93246 Automatica 80, 313-327 (2017). MSC: 93E03 93B60 62P99 93B07 PDFBibTeX XMLCite \textit{J. Shang} et al., Automatica 80, 313--327 (2017; Zbl 1370.93246) Full Text: DOI
Xu, Xuefeng An improved upper bound for the number of distinct eigenvalues of a matrix after perturbation. (English) Zbl 1372.15016 Linear Algebra Appl. 523, 109-117 (2017). MSC: 15A42 65F10 PDFBibTeX XMLCite \textit{X. Xu}, Linear Algebra Appl. 523, 109--117 (2017; Zbl 1372.15016) Full Text: DOI arXiv
Gosse, Laurent; Vauchelet, Nicolas Hydrodynamic singular regimes in \(1+1\) kinetic models and spectral numerical methods. (English) Zbl 1416.65378 J. Math. Anal. Appl. 445, No. 1, 564-603 (2017). MSC: 65M70 76P05 82C31 82C80 92C17 PDFBibTeX XMLCite \textit{L. Gosse} and \textit{N. Vauchelet}, J. Math. Anal. Appl. 445, No. 1, 564--603 (2017; Zbl 1416.65378) Full Text: DOI
Liao, Xiangke; Li, Shengguo; Cheng, Lizhi; Gu, Ming An improved divide-and-conquer algorithm for the banded matrices with narrow bandwidths. (English) Zbl 1443.65051 Comput. Math. Appl. 71, No. 10, 1933-1943 (2016). MSC: 65F15 15B05 PDFBibTeX XMLCite \textit{X. Liao} et al., Comput. Math. Appl. 71, No. 10, 1933--1943 (2016; Zbl 1443.65051) Full Text: DOI
Lita da Silva, João On anti-pentadiagonal persymmetric Hankel matrices with perturbed corners. (English) Zbl 1359.15024 Comput. Math. Appl. 72, No. 3, 415-426 (2016). MSC: 15B05 15A18 PDFBibTeX XMLCite \textit{J. Lita da Silva}, Comput. Math. Appl. 72, No. 3, 415--426 (2016; Zbl 1359.15024) Full Text: DOI
Li, Shengguo; Liao, Xiangke; Liu, Jie; Jiang, Hao New fast divide-and-conquer algorithms for the symmetric tridiagonal eigenvalue problem. (English) Zbl 1413.65099 Numer. Linear Algebra Appl. 23, No. 4, 656-673 (2016). MSC: 65F15 PDFBibTeX XMLCite \textit{S. Li} et al., Numer. Linear Algebra Appl. 23, No. 4, 656--673 (2016; Zbl 1413.65099) Full Text: DOI arXiv
Iwen, M. A.; Ong, B. W. A distributed and incremental SVD algorithm for agglomerative data analysis on large networks. (English) Zbl 1349.15041 SIAM J. Matrix Anal. Appl. 37, No. 4, 1699-1718 (2016). MSC: 15A23 65F20 PDFBibTeX XMLCite \textit{M. A. Iwen} and \textit{B. W. Ong}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1699--1718 (2016; Zbl 1349.15041) Full Text: DOI arXiv
Zimmermann, R.; Willcox, K. An accelerated greedy missing point estimation procedure. (English) Zbl 1348.65045 SIAM J. Sci. Comput. 38, No. 5, A2827-A2850 (2016). MSC: 65C60 62F10 65H10 65F15 PDFBibTeX XMLCite \textit{R. Zimmermann} and \textit{K. Willcox}, SIAM J. Sci. Comput. 38, No. 5, A2827--A2850 (2016; Zbl 1348.65045) Full Text: DOI
Farrell, P. E. The number of distinct eigenvalues of a matrix after perturbation. (English) Zbl 1338.15023 SIAM J. Matrix Anal. Appl. 37, No. 2, 572-576 (2016). MSC: 15A18 65F10 PDFBibTeX XMLCite \textit{P. E. Farrell}, SIAM J. Matrix Anal. Appl. 37, No. 2, 572--576 (2016; Zbl 1338.15023) 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
Bru, Rafael; Cantó, Rafael; Urbano, Ana M. Improving the condition number of a simple eigenvalue by a rank one matrix. (English) Zbl 1337.15009 Appl. Math. Lett. 58, 7-12 (2016). MSC: 15A12 15A18 65F35 PDFBibTeX XMLCite \textit{R. Bru} et al., Appl. Math. Lett. 58, 7--12 (2016; Zbl 1337.15009) Full Text: DOI
Jakovčević Stor, N.; Slapničar, I.; Barlow, J. L. Forward stable eigenvalue decomposition of rank-one modifications of diagonal matrices. (English) Zbl 1325.65053 Linear Algebra Appl. 487, 301-315 (2015). MSC: 65F15 65G50 15-04 15B99 PDFBibTeX XMLCite \textit{N. Jakovčević Stor} et al., Linear Algebra Appl. 487, 301--315 (2015; Zbl 1325.65053) Full Text: DOI arXiv
Chung, Julianne; Palmer, Katrina A hybrid LSMR algorithm for large-scale Tikhonov regularization. (English) Zbl 1325.65057 SIAM J. Sci. Comput. 37, No. 5, S562-S580 (2015). MSC: 65F20 65F22 65F30 94A08 PDFBibTeX XMLCite \textit{J. Chung} and \textit{K. Palmer}, SIAM J. Sci. Comput. 37, No. 5, S562--S580 (2015; Zbl 1325.65057) Full Text: DOI Link
Erway, Jennifer B.; Marcia, Roummel F. On efficiently computing the eigenvalues of limited-memory quasi-Newton matrices. (English) Zbl 1337.49048 SIAM J. Matrix Anal. Appl. 36, No. 3, 1338-1359 (2015). MSC: 49M15 65F15 90C53 90C06 90C30 65K05 15A12 15A18 PDFBibTeX XMLCite \textit{J. B. Erway} and \textit{R. F. Marcia}, SIAM J. Matrix Anal. Appl. 36, No. 3, 1338--1359 (2015; Zbl 1337.49048) Full Text: DOI arXiv
Jakovčević Stor, Nevena; Slapničar, Ivan; Barlow, Jesse L. Accurate eigenvalue decomposition of real symmetric arrowhead matrices and applications. (English) Zbl 1302.65087 Linear Algebra Appl. 464, 62-89 (2015). MSC: 65F15 65F20 65Y05 PDFBibTeX XMLCite \textit{N. Jakovčević Stor} et al., Linear Algebra Appl. 464, 62--89 (2015; Zbl 1302.65087) Full Text: DOI arXiv
Cheng, Guanghui; Song, Zhida; Yang, Jianfeng; Si, Jia The bounds of the eigenvalues for rank-one modification of Hermitian matrix. (English) Zbl 1324.15036 Numer. Linear Algebra Appl. 21, No. 1, 98-107 (2014). MSC: 15B57 15A42 65F15 PDFBibTeX XMLCite \textit{G. Cheng} et al., Numer. Linear Algebra Appl. 21, No. 1, 98--107 (2014; Zbl 1324.15036) Full Text: DOI
Griewank, Andreas; Fischer, Jonathan; Bosse, Torsten Cubic overestimation and secant updating for unconstrained optimization of \(C^{2,1}\) functions. (English) Zbl 1306.90150 Optim. Methods Softw. 29, No. 5, 1075-1089 (2014). MSC: 90C30 90C53 90C55 49M27 PDFBibTeX XMLCite \textit{A. Griewank} et al., Optim. Methods Softw. 29, No. 5, 1075--1089 (2014; Zbl 1306.90150) Full Text: DOI
Gusrialdi, Azwirman Performance-oriented communication topology design for distributed control of interconnected systems. (English) Zbl 1283.93125 Math. Control Signals Syst. 25, No. 4, 559-585 (2013). MSC: 93B51 90B18 93B60 PDFBibTeX XMLCite \textit{A. Gusrialdi}, Math. Control Signals Syst. 25, No. 4, 559--585 (2013; Zbl 1283.93125) Full Text: DOI
Cheng, Guanghui; Luo, Xiaoxue; Li, Liang The bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitian eigenvalue problem. (English) Zbl 1255.15025 Appl. Math. Lett. 25, No. 9, 1191-1196 (2012). Reviewer: Tin Yau Tam (Auburn) MSC: 15A42 PDFBibTeX XMLCite \textit{G. Cheng} et al., Appl. Math. Lett. 25, No. 9, 1191--1196 (2012; Zbl 1255.15025) Full Text: DOI Backlinks: MO
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
Kaveh, A.; Fazli, H. Approximate eigensolution of Laplacian matrices for locally modified graph products. (English) Zbl 1234.05153 J. Comput. Appl. Math. 236, No. 6, 1591-1603 (2011). MSC: 05C50 05C76 05B20 PDFBibTeX XMLCite \textit{A. Kaveh} and \textit{H. Fazli}, J. Comput. Appl. Math. 236, No. 6, 1591--1603 (2011; Zbl 1234.05153) Full Text: DOI
Naumov, Maxim On the modification of an eigenvalue problem that preserves an eigenspace. (English) Zbl 1243.65043 J. Comput. Appl. Math. 235, No. 18, 5432-5440 (2011). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 PDFBibTeX XMLCite \textit{M. Naumov}, J. Comput. Appl. Math. 235, No. 18, 5432--5440 (2011; Zbl 1243.65043) 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
Bénasséni, Jacques Lower bounds for the largest eigenvalue of a symmetric matrix under perturbations of rank one. (English) Zbl 1216.15017 Linear Multilinear Algebra 59, No. 5, 565-569 (2011). MSC: 15A42 15A18 PDFBibTeX XMLCite \textit{J. Bénasséni}, Linear Multilinear Algebra 59, No. 5, 565--569 (2011; Zbl 1216.15017) Full Text: DOI
Benaych-Georges, Florent; Nadakuditi, Raj Rao The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices. (English) Zbl 1226.15023 Adv. Math. 227, No. 1, 494-521 (2011). Reviewer: Martín Argerami (Regina) MSC: 15B52 15A18 46L54 60B20 62H25 82B26 PDFBibTeX XMLCite \textit{F. Benaych-Georges} and \textit{R. R. Nadakuditi}, Adv. Math. 227, No. 1, 494--521 (2011; Zbl 1226.15023) Full Text: DOI arXiv
Brandts, Jan H.; da Silva, Ricardo Reis Computable eigenvalue bounds for rank-\(k\) perturbations. (English) Zbl 1195.15019 Linear Algebra Appl. 432, No. 12, 3100-3116 (2010). Reviewer: Alan L. Andrew (Bundoora) MSC: 15A42 65F15 15B57 PDFBibTeX XMLCite \textit{J. H. Brandts} and \textit{R. R. da Silva}, Linear Algebra Appl. 432, No. 12, 3100--3116 (2010; Zbl 1195.15019) Full Text: DOI
Valizadeh, Amir; Karimi, Mahmood Fast subspace tracking algorithm based on the constrained projection approximation. (English) Zbl 1184.94188 EURASIP J. Adv. Signal Process. 2009, Article ID 576972, 16 p. (2009). MSC: 94A13 90C90 PDFBibTeX XMLCite \textit{A. Valizadeh} and \textit{M. Karimi}, EURASIP J. Adv. Signal Process. 2009, Article ID 576972, 16 p. (2009; Zbl 1184.94188) Full Text: DOI
Cartis, C.; Gould, N. I. M.; Toint, P. L. Trust-region and other regularisations of linear least-squares problems. (English) Zbl 1165.65019 BIT 49, No. 1, 21-53 (2009). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F22 65K05 90C25 90C51 PDFBibTeX XMLCite \textit{C. Cartis} et al., BIT 49, No. 1, 21--53 (2009; Zbl 1165.65019) Full Text: DOI Link
Prasad, Mithun; Sowmya, Arcot; Koch, Inge Designing relevant features for continuous data sets using ICA. (English) Zbl 1170.68566 Int. J. Comput. Intell. Appl. 7, No. 4, 447-468 (2008). MSC: 68T05 PDFBibTeX XMLCite \textit{M. Prasad} et al., Int. J. Comput. Intell. Appl. 7, No. 4, 447--468 (2008; Zbl 1170.68566) Full Text: DOI
Galántai, A.; Hegedűs, C. J. Perturbation bounds for polynomials. (English) Zbl 1140.65037 Numer. Math. 109, No. 1, 77-100 (2008). Reviewer: Jiří Vaníček (Praha) MSC: 65H05 65F15 15A12 65J20 PDFBibTeX XMLCite \textit{A. Galántai} and \textit{C. J. Hegedűs}, Numer. Math. 109, No. 1, 77--100 (2008; Zbl 1140.65037) Full Text: DOI
Mastronardi, N.; Van Camp, E; Van Barel, M. Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices. (English) Zbl 1105.65035 Numer. Algorithms 39, No. 4, 379-398 (2005). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 15B57 PDFBibTeX XMLCite \textit{N. Mastronardi} et al., Numer. Algorithms 39, No. 4, 379--398 (2005; Zbl 1105.65035) Full Text: DOI
Yin, Qingxiang Construction of real symmetric and per-antisymmetric matrices with prescribed spectrum data. (English) Zbl 1080.15014 Linear Algebra Appl. 408, 275-283 (2005). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A18 15A29 15B57 PDFBibTeX XMLCite \textit{Q. Yin}, Linear Algebra Appl. 408, 275--283 (2005; Zbl 1080.15014) Full Text: DOI
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y. Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. (English) Zbl 1072.65068 Numer. Math. 100, No. 3, 373-408 (2005). Reviewer: Constantin Popa (Constanta) MSC: 65H05 65F15 12Y05 30C15 26D10 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Numer. Math. 100, No. 3, 373--408 (2005; Zbl 1072.65068) 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
Elhay, S.; Golub, G. H.; Ram, Y. M. The spectrum of a modified linear pencil. (English) Zbl 1054.65033 Comput. Math. Appl. 46, No. 8-9, 1413-1426 (2003). Reviewer: Yueh-er Kuo (Knoxville) MSC: 65F15 15A18 15A21 15B48 PDFBibTeX XMLCite \textit{S. Elhay} et al., Comput. Math. Appl. 46, No. 8--9, 1413--1426 (2003; Zbl 1054.65033) Full Text: DOI
Neumaier, Arnold Enclosing clusters of zeros of polynomials. (English) Zbl 1029.65050 J. Comput. Appl. Math. 156, No. 2, 389-401 (2003). Reviewer: H.Ratschek (Düsseldorf) MSC: 65H05 65G30 26C10 12Y05 30C15 PDFBibTeX XMLCite \textit{A. Neumaier}, J. Comput. Appl. Math. 156, No. 2, 389--401 (2003; Zbl 1029.65050) Full Text: DOI
Sayed, Ali H.; Chen, Hong A uniqueness result concerning a robust regularized least-squares solution. (English) Zbl 1003.93055 Syst. Control Lett. 46, No. 5, 361-369 (2002). MSC: 93E24 65K10 65F22 PDFBibTeX XMLCite \textit{A. H. Sayed} and \textit{H. Chen}, Syst. Control Lett. 46, No. 5, 361--369 (2002; Zbl 1003.93055) Full Text: DOI
Melman, A. Extreme eigenvalues of real symmetric Toeplitz matrices. (English) Zbl 0968.65018 Math. Comput. 70, No. 234, 649-669 (2001). Reviewer: E.Kreyszig (Ottawa) MSC: 65F15 PDFBibTeX XMLCite \textit{A. Melman}, Math. Comput. 70, No. 234, 649--669 (2001; Zbl 0968.65018) Full Text: DOI
Melman, A. Spectral functions for real symmetric Toeplitz matrices. (English) Zbl 0934.15008 J. Comput. Appl. Math. 98, No. 2, 233-243 (1998). Reviewer: P.Narain (Bombay) MSC: 15A18 65F15 PDFBibTeX XMLCite \textit{A. Melman}, J. Comput. Appl. Math. 98, No. 2, 233--243 (1998; Zbl 0934.15008) Full Text: DOI
Lui, S. H. Kron’s method for symmetric eigenvalue problems. (English) Zbl 0934.65046 J. Comput. Appl. Math. 98, No. 1, 35-48 (1998). Reviewer: W.Velte (Würzburg) MSC: 65F15 65N25 35P15 65N55 PDFBibTeX XMLCite \textit{S. H. Lui}, J. Comput. Appl. Math. 98, No. 1, 35--48 (1998; Zbl 0934.65046) Full Text: DOI
Zhang, T.; Golub, G. H.; Law, K. H. Eigenvalue perturbation and generalized Krylov subspace method. (English) Zbl 0931.65039 Appl. Numer. Math. 27, No. 2, 185-202 (1998). Reviewer: F.Uhlig (Auburn) MSC: 65F15 65F10 PDFBibTeX XMLCite \textit{T. Zhang} et al., Appl. Numer. Math. 27, No. 2, 185--202 (1998; Zbl 0931.65039) Full Text: DOI
Melman, A. Analysis of third-order methods for secular equations. (English) Zbl 0899.65028 Math. Comput. 67, No. 221, 271-286 (1998). Reviewer: Z.Dostal (Ostrava) MSC: 65H05 65F15 65D25 PDFBibTeX XMLCite \textit{A. Melman}, Math. Comput. 67, No. 221, 271--286 (1998; Zbl 0899.65028) Full Text: DOI
Melman, A. A unifying convergence analysis of second-order methods for secular equations. (English) Zbl 0854.65032 Math. Comput. 66, No. 217, 333-344 (1997). MSC: 65F15 65H05 PDFBibTeX XMLCite \textit{A. Melman}, Math. Comput. 66, No. 217, 333--344 (1997; Zbl 0854.65032) 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
Elsner, L.; Fasse, A.; Langmann, E. A divide-and-conquer method for the tridiagonal generalized eigenvalue problem. (English) Zbl 1007.65024 J. Comput. Appl. Math. 86, No. 1, 141-148 (1997). Reviewer: J.P.Milaszewicz (Dublin) MSC: 65F15 PDFBibTeX XMLCite \textit{L. Elsner} et al., J. Comput. Appl. Math. 86, No. 1, 141--148 (1997; Zbl 1007.65024) Full Text: DOI
Di Benedetto, Fabio Generalized updating problems and computation of the eigenvalues of rational Toeplitz matrices. (English) Zbl 0885.65042 Linear Algebra Appl. 267, 187-219 (1997). Reviewer: W.Heinrichs (Essen) MSC: 65F15 PDFBibTeX XMLCite \textit{F. Di Benedetto}, Linear Algebra Appl. 267, 187--219 (1997; Zbl 0885.65042) Full Text: DOI
Anderson, Joel A secular equation for the eigenvalues of a diagonal matrix perturbation. (English) Zbl 0861.15006 Linear Algebra Appl. 246, 49-70 (1996). Reviewer: V.Burjan (Praha) MSC: 15A18 65F30 PDFBibTeX XMLCite \textit{J. Anderson}, Linear Algebra Appl. 246, 49--70 (1996; Zbl 0861.15006) 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
Sinap, Ann Gaussian quadrature for matrix valued functions on the real line. (English) Zbl 0876.65011 J. Comput. Appl. Math. 65, No. 1-3, 369-385 (1995). Reviewer: C.Simerská (Praha) MSC: 65D32 65Y05 42C05 41A55 41A63 PDFBibTeX XMLCite \textit{A. Sinap}, J. Comput. Appl. Math. 65, No. 1--3, 369--385 (1995; Zbl 0876.65011) Full Text: DOI
Bello, Abdul Lateef Choosing among imputation techniques for incomplete multivariate data: A simulation study. (English) Zbl 0800.62344 Commun. Stat., Theory Methods 22, No. 3, 853-877 (1993). MSC: 62H99 62-07 65C05 PDFBibTeX XMLCite \textit{A. L. Bello}, Commun. Stat., Theory Methods 22, No. 3, 853--877 (1993; Zbl 0800.62344) 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
Gragg, William B. Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle. (English) Zbl 0777.65013 J. Comput. Appl. Math. 46, No. 1-2, 183-198 (1993). Reviewer: S.Filippi (Gießen) MSC: 65F05 65D32 41A55 30E10 65E05 PDFBibTeX XMLCite \textit{W. B. Gragg}, J. Comput. Appl. Math. 46, No. 1--2, 183--198 (1993; Zbl 0777.65013) Full Text: DOI
Bini, D.; Pan, V. Practical improvement of the divide-and-conquer eigenvalue algorithms. (English) Zbl 0756.65053 Computing 48, No. 1, 109-123 (1992). Reviewer: I.N.Molchanov (Kiev) MSC: 65F15 65Y20 PDFBibTeX XMLCite \textit{D. Bini} and \textit{V. Pan}, Computing 48, No. 1, 109--123 (1992; Zbl 0756.65053) Full Text: DOI
Ferng, William R.; Golub, Gene H.; Plemmons, Robert J. Adaptive Lanczos methods for recursive condition estimation. (English) Zbl 0794.65043 Numer. Algorithms 1, No. 1, 1-19 (1991). Reviewer: G.Stoyan (Budapest) MSC: 65F35 15A12 65F10 65F15 PDFBibTeX XMLCite \textit{W. R. Ferng} et al., Numer. Algorithms 1, No. 1, 1--19 (1991; Zbl 0794.65043) Full Text: DOI
Benasseni, J. A note on bounds to the variation of eigenvalues in symmetric matrix perturbation of rank one. (English) Zbl 0709.15017 Linear Multilinear Algebra 27, No. 2, 111-116 (1990). Reviewer: Z.Dostál MSC: 15A42 15B57 PDFBibTeX XMLCite \textit{J. Benasseni}, Linear Multilinear Algebra 27, No. 2, 111--116 (1990; Zbl 0709.15017) Full Text: DOI
Beattie, Christopher; Fox, David W. Schur complements and the Weinstein-Aronszajn theory for modified matrix eigenvalue problems. (English) Zbl 0661.15008 Linear Algebra Appl. 108, 37-61 (1988). Reviewer: E.Kreyszig MSC: 15A18 65F15 15A42 49R50 PDFBibTeX XMLCite \textit{C. Beattie} and \textit{D. W. Fox}, Linear Algebra Appl. 108, 37--61 (1988; Zbl 0661.15008) Full Text: DOI
Arbenz, Peter; Gander, Walter; Golub, Gene H. Restricted rank modification of the symmetric eigenvalue problem: Theoretical considerations. (English) Zbl 0652.15004 Linear Algebra Appl. 104, 75-95 (1988). Reviewer: L.Elsner MSC: 15A18 65F15 PDFBibTeX XMLCite \textit{P. Arbenz} et al., Linear Algebra Appl. 104, 75--95 (1988; Zbl 0652.15004) Full Text: DOI
Schweizerhof, K.; Andelfinger, U. Effiziente Erdbebenberechnung einfacher Sekundärstrukturen in großen Bauwerken. (Efficient analysis of simple secondary structures in large buildings under earthquake excitation). (German) Zbl 0614.73064 Ing.-Arch. 57, 267-276 (1987). MSC: 74H45 PDFBibTeX XMLCite \textit{K. Schweizerhof} and \textit{U. Andelfinger}, Ing.-Arch. 57, 267--276 (1987; Zbl 0614.73064) Full Text: DOI
Dongarra, Jack J.; Sorensen, Danny C. Linear algebra on high performance computers. (English) Zbl 0628.65016 Appl. Math. Comput. 20, 57-88 (1986). Reviewer: R.P.Tewarson MSC: 65Fxx 65-02 65F05 65F15 65F50 65Y05 PDFBibTeX XMLCite \textit{J. J. Dongarra} and \textit{D. C. Sorensen}, Appl. Math. Comput. 20, 57--88 (1986; Zbl 0628.65016) Full Text: DOI Link
Chan, Tony F.; Resasco, Diana C. On the condition of nearly singular matrices under rank-1 perturbations. (English) Zbl 0589.15005 Linear Algebra Appl. 76, 223-232 (1986). Reviewer: R.W.Cottle MSC: 15A12 15A18 PDFBibTeX XMLCite \textit{T. F. Chan} and \textit{D. C. Resasco}, Linear Algebra Appl. 76, 223--232 (1986; Zbl 0589.15005) Full Text: DOI
Parlett, B. N.; Nour-Omid, B. The use of a refined error bound when updating eigenvalues of tridiagonals. (English) Zbl 0629.65037 Linear Algebra Appl. 68, 179-219 (1985). Reviewer: L.Elsner MSC: 65F15 15-04 PDFBibTeX XMLCite \textit{B. N. Parlett} and \textit{B. Nour-Omid}, Linear Algebra Appl. 68, 179--219 (1985; Zbl 0629.65037) Full Text: DOI
Gragg, William B.; Harrod, William J. The numerically stable reconstruction of Jacobi matrices from spectral data. (English) Zbl 0556.65027 Numer. Math. 44, 317-335 (1984). Reviewer: L.Elsner MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{W. B. Gragg} and \textit{W. J. Harrod}, Numer. Math. 44, 317--335 (1984; Zbl 0556.65027) Full Text: DOI EuDML
Schneider, J. Einschliessung der Eigenwerte modifizierter gedaempfter Schwingungssysteme. (German) Zbl 0472.70021 Acta Mech. 40, 221-235 (1981). MSC: 70J10 65F15 15A42 70J30 PDFBibTeX XMLCite \textit{J. Schneider}, Acta Mech. 40, 221--235 (1981; Zbl 0472.70021) Full Text: DOI
Cuppen, J. J. M. A Divide and Conquer method for the symmetric tridiagonal eigenproblem. (English) Zbl 0431.65022 Numer. Math. 36, 177-195 (1981). MSC: 65F15 68Q25 PDFBibTeX XMLCite \textit{J. J. M. Cuppen}, Numer. Math. 36, 177--195 (1981; Zbl 0431.65022) Full Text: DOI EuDML
Bunch, James R.; Nielsen, Christopher P. Updating the singular value decomposition. (English) Zbl 0421.65028 Numer. Math. 31, 111-129 (1978). MSC: 65F30 65F20 PDFBibTeX XMLCite \textit{J. R. Bunch} and \textit{C. P. Nielsen}, Numer. Math. 31, 111--129 (1978; Zbl 0421.65028) Full Text: DOI EuDML