Gautier, Antoine; Tudisco, Francesco; Hein, Matthias Nonlinear Perron-Frobenius theorems for nonnegative tensors. (English) Zbl 07683993 SIAM Rev. 65, No. 2, 495-536 (2023). MSC: 47H07 47J10 15B48 47H09 47H10 PDFBibTeX XMLCite \textit{A. Gautier} et al., SIAM Rev. 65, No. 2, 495--536 (2023; Zbl 07683993) Full Text: DOI
Withers, L. P. jun. A generalized dual transform: linear algebra and geometry of (pseudo)inverting a matrix. (English) Zbl 1504.15006 SIAM Rev. 64, No. 4, 1031-1061 (2022). Reviewer: John D. Dixon (Ottawa) MSC: 15A03 15A09 15A06 PDFBibTeX XMLCite \textit{L. P. Withers jun.}, SIAM Rev. 64, No. 4, 1031--1061 (2022; Zbl 1504.15006) Full Text: DOI
Sundnes, Joakim Book review of: A. J. Roberts, Linear algebra for the 21st century. (English) Zbl 1492.00032 SIAM Rev. 64, No. 3, 755-756 (2022). MSC: 00A17 15-01 15Axx 68-01 68Txx PDFBibTeX XMLCite \textit{J. Sundnes}, SIAM Rev. 64, No. 3, 755--756 (2022; Zbl 1492.00032) Full Text: DOI
Gaudioso, Manlio; Hiriart-Urruty, Jean-Baptiste Deforming \(\|.\|_1\) into \(\|.\|_{\infty}\) via polyhedral norms: a pedestrian approach. (English) Zbl 1495.52010 SIAM Rev. 64, No. 3, 713-727 (2022). Reviewer: Sorin-Mihai Grad (Paris) MSC: 52A41 52B05 15A83 PDFBibTeX XMLCite \textit{M. Gaudioso} and \textit{J.-B. Hiriart-Urruty}, SIAM Rev. 64, No. 3, 713--727 (2022; Zbl 1495.52010) Full Text: DOI
Sembach, Lena Book review of: D. Calvetti and E. Somersalo, Mathematics of data science. A computational approach to clustering and classification. (English) Zbl 1491.00030 SIAM Rev. 64, No. 2, 503-513 (2022). MSC: 00A17 68-01 15-01 15A23 62H25 62H30 68T05 68T09 PDFBibTeX XMLCite \textit{L. Sembach}, SIAM Rev. 64, No. 2, 503--513 (2022; Zbl 1491.00030) Full Text: DOI
Saibara, Arvind K. Book review of: N. Gillis, Nonnegative matrix factorization. (English) Zbl 1491.00027 SIAM Rev. 64, No. 2, 503-513 (2022). MSC: 00A17 68-02 15-02 15A23 15B48 65F55 68T09 68T10 PDFBibTeX XMLCite \textit{A. K. Saibara}, SIAM Rev. 64, No. 2, 503--513 (2022; Zbl 1491.00027) Full Text: DOI
Strang, Gilbert; Moler, Cleve Lu and CR elimination. (English) Zbl 1485.15015 SIAM Rev. 64, No. 1, 181-190 (2022). Reviewer: John D. Dixon (Ottawa) MSC: 15A21 15A23 PDFBibTeX XMLCite \textit{G. Strang} and \textit{C. Moler}, SIAM Rev. 64, No. 1, 181--190 (2022; Zbl 1485.15015) Full Text: DOI
Maritz, Milton F. Rotations in three dimensions. (English) Zbl 1467.15027 SIAM Rev. 63, No. 2, 395-404 (2021). MSC: 15B10 15A04 54H15 PDFBibTeX XMLCite \textit{M. F. Maritz}, SIAM Rev. 63, No. 2, 395--404 (2021; Zbl 1467.15027) Full Text: DOI
Duersch, Jed A.; Gu, Ming Randomized projection for rank-revealing matrix factorizations and low-rank approximations. (English) Zbl 07279897 SIAM Rev. 62, No. 3, 661-682 (2020). MSC: 65F25 15A18 15A23 PDFBibTeX XMLCite \textit{J. A. Duersch} and \textit{M. Gu}, SIAM Rev. 62, No. 3, 661--682 (2020; Zbl 07279897) Full Text: DOI arXiv
Greenbaum, Anne; Li, Ren-Cang; Overton, Michael L. First-order perturbation theory for eigenvalues and eigenvectors. (English) Zbl 1516.15006 SIAM Rev. 62, No. 2, 463-482 (2020). MSC: 15A18 65F15 15A60 47A55 PDFBibTeX XMLCite \textit{A. Greenbaum} et al., SIAM Rev. 62, No. 2, 463--482 (2020; Zbl 1516.15006) Full Text: DOI arXiv
Schulz, Volker H. Book review of: G. Strang, Linear algebra and learning from data. (English) Zbl 1431.00019 SIAM Rev. 62, No. 1, 297 (2020). MSC: 00A17 15-01 00A05 60J20 68T05 PDFBibTeX XMLCite \textit{V. H. Schulz}, SIAM Rev. 62, No. 1, 297 (2020; Zbl 1431.00019) Full Text: DOI
Neto, Antônio Francisco Matrix analysis and omega calculus. (English) Zbl 1434.15007 SIAM Rev. 62, No. 1, 264-280 (2020). MSC: 15A16 15A24 05C50 PDFBibTeX XMLCite \textit{A. F. Neto}, SIAM Rev. 62, No. 1, 264--280 (2020; Zbl 1434.15007) Full Text: DOI
Hong, David; Kolda, Tamara G.; Duersch, Jed A. Generalized canonical polyadic tensor decomposition. (English) Zbl 1432.68385 SIAM Rev. 62, No. 1, 133-163 (2020). MSC: 68T05 15A69 62D10 PDFBibTeX XMLCite \textit{D. Hong} et al., SIAM Rev. 62, No. 1, 133--163 (2020; Zbl 1432.68385) Full Text: DOI arXiv
Heidel, Gennadij Book review of: V. Khoromskaia and B. N. Khoromskij, Tensor numerical methods in quantum chemistry. (English) Zbl 1522.00054 SIAM Rev. 61, No. 4, 899-900 (2019). MSC: 00A17 65-02 65N25 65N30 15A69 92-08 92Exx PDFBibTeX XMLCite \textit{G. Heidel}, SIAM Rev. 61, No. 4, 899--900 (2019; Zbl 1522.00054) Full Text: DOI
Kushel, Olga Y. Unifying matrix stability concepts with a view to applications. (English) Zbl 1458.93194 SIAM Rev. 61, No. 4, 643-729 (2019). MSC: 93D05 93C05 93B25 15B99 93-02 PDFBibTeX XMLCite \textit{O. Y. Kushel}, SIAM Rev. 61, No. 4, 643--729 (2019; Zbl 1458.93194) Full Text: DOI arXiv Link
Heidel, Gennadij Book review of: B. N. Khoromskij, Tensor numerical methods in scientific computing. (English) Zbl 1425.00029 SIAM Rev. 61, No. 3, 630-631 (2019). MSC: 00A17 65-02 65F30 15A69 65F50 PDFBibTeX XMLCite \textit{G. Heidel}, SIAM Rev. 61, No. 3, 630--631 (2019; Zbl 1425.00029) Full Text: DOI
Ramani, Arjun S.; Eikmeier, Nicole; Gleich, David F. Coin-flipping, Ball-dropping, and Grass-hopping for generating random graphs from matrices of edge probabilities. (English) Zbl 1419.05194 SIAM Rev. 61, No. 3, 549-595 (2019). MSC: 05C80 15A24 05A15 PDFBibTeX XMLCite \textit{A. S. Ramani} et al., SIAM Rev. 61, No. 3, 549--595 (2019; Zbl 1419.05194) Full Text: DOI arXiv
Beckermann, Bernhard; Townsend, Alex Bounds on the singular values of matrices with displacement structure. (English) Zbl 1441.15005 SIAM Rev. 61, No. 2, 319-344 (2019). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A18 15A60 15B48 26C15 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{A. Townsend}, SIAM Rev. 61, No. 2, 319--344 (2019; Zbl 1441.15005) Full Text: DOI
Meinsma, Gjerrit Dimensional and scaling analysis. (English) Zbl 1456.00105 SIAM Rev. 61, No. 1, 159-184 (2019). MSC: 00A71 00A79 15A03 15A04 15A16 PDFBibTeX XMLCite \textit{G. Meinsma}, SIAM Rev. 61, No. 1, 159--184 (2019; Zbl 1456.00105) Full Text: DOI
Pothen, Alex Book review of: I. S. Duff et al., Direct methods for sparse matrices. 2nd ed. (English) Zbl 1402.00021 SIAM Rev. 60, No. 4, 1024-1026 (2018). MSC: 00A17 65F05 65-02 65F50 65F30 15-04 05C50 PDFBibTeX XMLCite \textit{A. Pothen}, SIAM Rev. 60, No. 4, 1024--1026 (2018; Zbl 1402.00021) Full Text: DOI
Haigh, John Book review of: J.-B. Hiriart-Urruty, Mathematical tapas. Volume 1 (for undergraduates); Mathematical tapas. Volume 2 (from undergraduate to graduate level). (English) Zbl 1402.00019 SIAM Rev. 60, No. 4, 1022-1024 (2018). MSC: 00A17 00A07 97U40 15-01 26-01 90-01 PDFBibTeX XMLCite \textit{J. Haigh}, SIAM Rev. 60, No. 4, 1022--1024 (2018; Zbl 1402.00019) Full Text: DOI
Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro The singular value decomposition: anatomy of optimizing an algorithm for extreme scale. (English) Zbl 1410.65114 SIAM Rev. 60, No. 4, 808-865 (2018). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65Y15 15A18 15A23 65Y05 PDFBibTeX XMLCite \textit{J. Dongarra} et al., SIAM Rev. 60, No. 4, 808--865 (2018; Zbl 1410.65114) Full Text: DOI
Feppon, Florian; Lermusiaux, Pierre F. J. Dynamically orthogonal numerical schemes for efficient stochastic advection and Lagrangian transport. (English) Zbl 1427.65006 SIAM Rev. 60, No. 3, 595-625 (2018). MSC: 65C20 53B21 15A23 35R60 PDFBibTeX XMLCite \textit{F. Feppon} and \textit{P. F. J. Lermusiaux}, SIAM Rev. 60, No. 3, 595--625 (2018; Zbl 1427.65006) Full Text: DOI
Shitov, Yaroslav The nonnegative rank of a matrix: hard problems, easy solutions. (English) Zbl 1377.15003 SIAM Rev. 59, No. 4, 794-800 (2017). MSC: 15A03 15A23 68Q17 PDFBibTeX XMLCite \textit{Y. Shitov}, SIAM Rev. 59, No. 4, 794--800 (2017; Zbl 1377.15003) Full Text: DOI arXiv
Horn, Paul Book review of: Z. Stanić, Inequalities for graph eigenvalues. (English) Zbl 1417.00030 SIAM Rev. 59, No. 3, 687-688 (2017). MSC: 00A17 05-02 05C50 15A18 15-02 PDFBibTeX XMLCite \textit{P. Horn}, SIAM Rev. 59, No. 3, 687--688 (2017; Zbl 1417.00030) Full Text: DOI
Benson, Austin R.; Gleich, David F.; Lim, Lek-Heng The spacey random walk: a stochastic process for higher-order data. (English) Zbl 1365.15033 SIAM Rev. 59, No. 2, 321-345 (2017). MSC: 15A69 65C50 60G50 60J10 15B51 15A18 PDFBibTeX XMLCite \textit{A. R. Benson} et al., SIAM Rev. 59, No. 2, 321--345 (2017; Zbl 1365.15033) Full Text: DOI arXiv
Nakatsukasa, Yuji; Freund, Roland W. Computing fundamental matrix decompositions accurately via the matrix sign function in two iterations: the power of Zolotarev’s functions. (English) Zbl 1383.15012 SIAM Rev. 58, No. 3, 461-493 (2016). MSC: 15A23 65F15 65F30 65G50 PDFBibTeX XMLCite \textit{Y. Nakatsukasa} and \textit{R. W. Freund}, SIAM Rev. 58, No. 3, 461--493 (2016; Zbl 1383.15012) Full Text: DOI Link
Simoncini, V. Computational methods for linear matrix equations. (English) Zbl 1386.65124 SIAM Rev. 58, No. 3, 377-441 (2016). MSC: 65F30 65F10 15A24 15A06 PDFBibTeX XMLCite \textit{V. Simoncini}, SIAM Rev. 58, No. 3, 377--441 (2016; Zbl 1386.65124) Full Text: DOI Link
Strong, David Book review of: C. Arangala, Exploring linear algebra. Labs and projects with Mathematica. (English) Zbl 1336.00084 SIAM Rev. 58, No. 1, 169-171 (2016). MSC: 00A17 15-01 15Axx 65Fxx 65D18 94A08 65L05 34A30 PDFBibTeX XMLCite \textit{D. Strong}, SIAM Rev. 58, No. 1, 169--171 (2016; Zbl 1336.00084) Full Text: DOI
Lin, Lin; Saad, Yousef; Yang, Chao Approximating spectral densities of large matrices. (English) Zbl 1338.15026 SIAM Rev. 58, No. 1, 34-65 (2016). MSC: 15A18 65F15 PDFBibTeX XMLCite \textit{L. Lin} et al., SIAM Rev. 58, No. 1, 34--65 (2016; Zbl 1338.15026) Full Text: DOI arXiv
Higham, Nicholas J.; Strabić, Nataša; Šego, Vedran Restoring definiteness via shrinking, with an application to correlation matrices with a fixed block. (English) Zbl 1386.15062 SIAM Rev. 58, No. 2, 245-263 (2016). MSC: 15B48 65F30 PDFBibTeX XMLCite \textit{N. J. Higham} et al., SIAM Rev. 58, No. 2, 245--263 (2016; Zbl 1386.15062) Full Text: DOI Link
Bornemann, Folkmar Book review of: V. H. Vu (ed.), Modern aspects of random matrix theory. (English) Zbl 1336.00013 SIAM Rev. 57, No. 4, 632-634 (2015). MSC: 00A17 15-06 60-06 15B52 60B20 00B25 PDFBibTeX XMLCite \textit{F. Bornemann}, SIAM Rev. 57, No. 4, 632--634 (2015; Zbl 1336.00013) Full Text: DOI
Bindel, David; Hood, Amanda Localization theorems for nonlinear eigenvalue problems. (English) Zbl 1338.15022 SIAM Rev. 57, No. 4, 585-607 (2015). MSC: 15A18 15A42 15A60 30E10 PDFBibTeX XMLCite \textit{D. Bindel} and \textit{A. Hood}, SIAM Rev. 57, No. 4, 585--607 (2015; Zbl 1338.15022) Full Text: DOI
Ballard, Grey Book review of: W. Ford, Numerical linear algebra with applications. Using MATLAB. (English) Zbl 1336.00008 SIAM Rev. 57, No. 3, 473-474 (2015). MSC: 00A17 65Fxx 65-01 15-01 15Axx 00A06 65Y15 PDFBibTeX XMLCite \textit{G. Ballard}, SIAM Rev. 57, No. 3, 473--474 (2015; Zbl 1336.00008) Full Text: DOI
Gleich, David F. PageRank beyond the web. (English) Zbl 1336.05122 SIAM Rev. 57, No. 3, 321-363 (2015). MSC: 05C82 91D30 92C42 90B10 90C35 92E10 94C15 15A16 15A09 65F60 65F10 60J10 68R10 PDFBibTeX XMLCite \textit{D. F. Gleich}, SIAM Rev. 57, No. 3, 321--363 (2015; Zbl 1336.05122) Full Text: DOI arXiv
O’Malley, Robert E. jun. Book review of: G. Strang, Differential equations and linear algebra. (English) Zbl 1347.00029 SIAM Rev. 56, No. 4, 721-722 (2014). MSC: 00A17 34-01 15-01 44-01 PDFBibTeX XMLCite \textit{R. E. O'Malley jun.}, SIAM Rev. 56, No. 4, 721--722 (2014; Zbl 1347.00029) Full Text: DOI
O’Malley, Robert E. jun. Book review of: Konstantin E. Avrachenkov, Jerzy A. Filar and Phil G. Howlett, Analytic perturbation theory and its applications. (English) Zbl 1305.00054 SIAM Rev. 56, No. 3, 568-569 (2014). MSC: 00A17 47-02 47A55 47A10 47N10 47N30 46E35 15A09 60J10 PDFBibTeX XMLCite \textit{R. E. O'Malley jun.}, SIAM Rev. 56, No. 3, 568--569 (2014; Zbl 1305.00054) Full Text: DOI
Batson, Joshua; Spielman, Daniel A.; Srivastava, Nikhil Twice-Ramanujan sparsifiers. (English) Zbl 1311.05108 SIAM Rev. 56, No. 2, 315-334 (2014). MSC: 05C50 05C85 15B48 68R10 PDFBibTeX XMLCite \textit{J. Batson} et al., SIAM Rev. 56, No. 2, 315--334 (2014; Zbl 1311.05108) Full Text: DOI
Adams, Loyce M. Book review of: Matrix computations. 4th ed. (English) Zbl 1285.00009 SIAM Rev. 56, No. 1, 189-191 (2014). MSC: 00A17 65Fxx 65-01 65Y05 15A18 15A60 PDFBibTeX XMLCite \textit{L. M. Adams}, SIAM Rev. 56, No. 1, 189--191 (2014; Zbl 1285.00009) Full Text: DOI
Kollár, Richard; Miller, Peter D. Graphical Krein signature theory and Evans-Krein functions. (English) Zbl 1300.47078 SIAM Rev. 56, No. 1, 73-123 (2014). Reviewer: Jesús Hernández (Madrid) MSC: 47J10 37K45 47A75 15A18 15A22 47A10 35B35 65L07 PDFBibTeX XMLCite \textit{R. Kollár} and \textit{P. D. Miller}, SIAM Rev. 56, No. 1, 73--123 (2014; Zbl 1300.47078) Full Text: DOI arXiv
Greenbaum, Anne Book review of: R. A. Horn and C. R. Johnson, Matrix analysis. 2nd ed. (English) Zbl 1334.00029 SIAM Rev. 55, No. 3, 583-584 (2013). MSC: 00A17 15-01 15A18 15A21 15A23 15A42 15A45 15A60 15B48 15B57 15A63 PDFBibTeX XMLCite \textit{A. Greenbaum}, SIAM Rev. 55, No. 3, 583--584 (2013; Zbl 1334.00029) Full Text: DOI
Bryan, Kurt; Leise, Tanya Making do with less: an introduction to compressed sensing. (English) Zbl 1306.94009 SIAM Rev. 55, No. 3, 547-566 (2013). MSC: 94A12 68P30 15B52 90C05 PDFBibTeX XMLCite \textit{K. Bryan} and \textit{T. Leise}, SIAM Rev. 55, No. 3, 547--566 (2013; Zbl 1306.94009) Full Text: DOI Link
Lieberman, Chad; Willcox, Karen Goal-oriented inference: approach, linear theory, and application to advection diffusion. (English) Zbl 1273.35303 SIAM Rev. 55, No. 3, 493-519 (2013). MSC: 35R15 65M60 62F30 93B07 15A18 PDFBibTeX XMLCite \textit{C. Lieberman} and \textit{K. Willcox}, SIAM Rev. 55, No. 3, 493--519 (2013; Zbl 1273.35303) Full Text: DOI Link
Holtz, Olga; Tyaglov, Mikhail Structured matrices, continued fractions, and root localization of polynomials. (English) Zbl 1261.26001 SIAM Rev. 54, No. 3, 421-509 (2012). Reviewer: Tim Netzer (Leipzig) MSC: 26-02 26C10 26C15 26C05 15-02 15A23 15B05 15A15 42C05 PDFBibTeX XMLCite \textit{O. Holtz} and \textit{M. Tyaglov}, SIAM Rev. 54, No. 3, 421--509 (2012; Zbl 1261.26001) Full Text: DOI arXiv
Melman, Aaron Modified Gershgorin disks for companion matrices. (English) Zbl 1253.15029 SIAM Rev. 54, No. 2, 355-373 (2012). Reviewer: Ludwig Elsner (Bielefeld) MSC: 15A42 15A18 12D10 65H04 PDFBibTeX XMLCite \textit{A. Melman}, SIAM Rev. 54, No. 2, 355--373 (2012; Zbl 1253.15029) Full Text: DOI
Halko, N.; Martinsson, P. G.; Tropp, J. A. Finding structure with randomness: probabilistic algorithms for constructing approximate matrix decompositions. (English) Zbl 1269.65043 SIAM Rev. 53, No. 2, 217-288 (2011). MSC: 65F30 68W20 60B20 65F20 65Y05 15B52 62-07 68W30 PDFBibTeX XMLCite \textit{N. Halko} et al., SIAM Rev. 53, No. 2, 217--288 (2011; Zbl 1269.65043) Full Text: DOI arXiv Link
Blanchard, Jeffrey D.; Cartis, Coralia; Tanner, Jared Compressed sensing: how sharp is the restricted isometry property? (English) Zbl 1214.41008 SIAM Rev. 53, No. 1, 105-125 (2011). Reviewer: Milan Mareš (Praha) MSC: 41A46 94A12 94A20 15B52 60F10 90C25 PDFBibTeX XMLCite \textit{J. D. Blanchard} et al., SIAM Rev. 53, No. 1, 105--125 (2011; Zbl 1214.41008) Full Text: DOI arXiv
Hiriart-Urruty, J.-B.; Seeger, A. A variational approach to copositive matrices. (English) Zbl 1207.15037 SIAM Rev. 52, No. 4, 593-629 (2010). Reviewer: Václav Burjan (Praha) MSC: 15B48 90C20 15-02 PDFBibTeX XMLCite \textit{J. B. Hiriart-Urruty} and \textit{A. Seeger}, SIAM Rev. 52, No. 4, 593--629 (2010; Zbl 1207.15037) Full Text: DOI HAL
Recht, Benjamin; Fazel, Maryam; Parrilo, Pablo A. Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization. (English) Zbl 1198.90321 SIAM Rev. 52, No. 3, 471-501 (2010). MSC: 90C25 90C59 15B52 PDFBibTeX XMLCite \textit{B. Recht} et al., SIAM Rev. 52, No. 3, 471--501 (2010; Zbl 1198.90321) Full Text: DOI arXiv Link
Elmachtoub, Adam N.; Van Loan, Charles F. From random polygon to ellipse: An eigenanalysis. (English) Zbl 1187.65033 SIAM Rev. 52, No. 1, 151-170 (2010). Reviewer: Jiri Náprstek (Praha) MSC: 65F15 15A18 65L20 PDFBibTeX XMLCite \textit{A. N. Elmachtoub} and \textit{C. F. Van Loan}, SIAM Rev. 52, No. 1, 151--170 (2010; Zbl 1187.65033) Full Text: DOI
Zha, Hongyuan; Zhang, Zhenyue Spectral properties of the alignment matrices in manifold learning. (English) Zbl 1180.15012 SIAM Rev. 51, No. 3, 545-566 (2009). Reviewer: Mihail Voicu (Iaşi) MSC: 15A18 65F15 62B10 90C31 93B60 PDFBibTeX XMLCite \textit{H. Zha} and \textit{Z. Zhang}, SIAM Rev. 51, No. 3, 545--566 (2009; Zbl 1180.15012) Full Text: DOI Link
Kolda, Tamara G.; Bader, Brett W. Tensor decompositions and applications. (English) Zbl 1173.65029 SIAM Rev. 51, No. 3, 455-500 (2009). MSC: 65F20 15A69 65-02 65Y15 62H25 65C60 PDFBibTeX XMLCite \textit{T. G. Kolda} and \textit{B. W. Bader}, SIAM Rev. 51, No. 3, 455--500 (2009; Zbl 1173.65029) Full Text: DOI
Bruckstein, Alfred M.; Donoho, David L.; Elad, Michael From sparse solutions of systems of equations to sparse modeling of signals and images. (English) Zbl 1178.68619 SIAM Rev. 51, No. 1, 34-81 (2009). MSC: 68U10 94A08 15A29 15A06 90C25 PDFBibTeX XMLCite \textit{A. M. Bruckstein} et al., SIAM Rev. 51, No. 1, 34--81 (2009; Zbl 1178.68619) Full Text: DOI Link
Driscoll, Tobin A.; Maki, Kara L. Searching for rare growth factors using multicanonical Monte Carlo methods. (English) Zbl 1133.65018 SIAM Rev. 49, No. 4, 673-692 (2007). Reviewer: Lubomír Bakule (Praha) MSC: 65F05 15B52 65C05 65C40 PDFBibTeX XMLCite \textit{T. A. Driscoll} and \textit{K. L. Maki}, SIAM Rev. 49, No. 4, 673--692 (2007; Zbl 1133.65018) Full Text: DOI Link
Hiriart-Urruty, Jean-Baptiste Potpourri of conjectures and open questions in nonlinear analysis and optimization. (English) Zbl 1120.15025 SIAM Rev. 49, No. 2, 255-273 (2007). Reviewer: Erich W. Ellers (Toronto) MSC: 15A63 15A21 26B25 35D05 49J30 52B11 65K05 90C20 PDFBibTeX XMLCite \textit{J.-B. Hiriart-Urruty}, SIAM Rev. 49, No. 2, 255--273 (2007; Zbl 1120.15025) Full Text: DOI Link
Bryan, Kurt; Leise, Tanya The $25,000,000,000 eigenvector: The linear algebra behind Google. (English) Zbl 1115.15007 SIAM Rev. 48, No. 3, 569-581 (2006). Reviewer: Adhemar Bultheel (Leuven) MSC: 15A18 15-01 15B51 65F15 68P20 PDFBibTeX XMLCite \textit{K. Bryan} and \textit{T. Leise}, SIAM Rev. 48, No. 3, 569--581 (2006; Zbl 1115.15007) Full Text: DOI Link
Castillo, Enrique; Conejo, Antonio J.; Castillo, Carmen; Mínguez, Roberto Solving ordinary differential equations with range conditions. Applications. (English) Zbl 1104.34002 SIAM Rev. 48, No. 2, 307-317 (2006). Reviewer: Juan Luis García Guirao (Cartagena) MSC: 34A12 34A30 15A03 15A39 PDFBibTeX XMLCite \textit{E. Castillo} et al., SIAM Rev. 48, No. 2, 307--317 (2006; Zbl 1104.34002) Full Text: DOI
González, Luis Orthogonal projections of the identity: spectral analysis and applications to approximate inverse preconditioning. (English) Zbl 1095.65042 SIAM Rev. 48, No. 1, 66-75 (2006). Reviewer: Michael Jung (Dresden) MSC: 65F35 15A12 15A18 15A60 PDFBibTeX XMLCite \textit{L. González}, SIAM Rev. 48, No. 1, 66--75 (2006; Zbl 1095.65042) Full Text: DOI
Beattie, Christopher A.; Embree, Mark; Sorensen, D. C. Convergence of polynomial restart Krylov methods for eigenvalue computations. (English) Zbl 1073.65028 SIAM Rev. 47, No. 3, 492-515 (2005). Reviewer: Ferenc Szidarovszky (Tucson) MSC: 65F15 15A18 15A60 30E10 47A15 PDFBibTeX XMLCite \textit{C. A. Beattie} et al., SIAM Rev. 47, No. 3, 492--515 (2005; Zbl 1073.65028) Full Text: DOI
Lancaster, Peter; Rodman, Leiba Canonical forms for Hermitian matrix pairs under strict equivalence and congruence. (English) Zbl 1087.15014 SIAM Rev. 47, No. 3, 407-443 (2005). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A22 15A21 15A63 PDFBibTeX XMLCite \textit{P. Lancaster} and \textit{L. Rodman}, SIAM Rev. 47, No. 3, 407--443 (2005; Zbl 1087.15014) Full Text: DOI
Langville, Amy N.; Meyer, Carl D. A survey of eigenvector methods for web information retrieval. (English) Zbl 1075.65053 SIAM Rev. 47, No. 1, 135-161 (2005). MSC: 65F15 68P20 15B51 65C40 PDFBibTeX XMLCite \textit{A. N. Langville} and \textit{C. D. Meyer}, SIAM Rev. 47, No. 1, 135--161 (2005; Zbl 1075.65053) Full Text: DOI
Watkins, David S. Product eigenvalue problems. (English) Zbl 1075.65055 SIAM Rev. 47, No. 1, 3-40 (2005). MSC: 65F15 15A18 65F20 PDFBibTeX XMLCite \textit{D. S. Watkins}, SIAM Rev. 47, No. 1, 3--40 (2005; Zbl 1075.65055) Full Text: DOI
Li, Jing-Rebecca; White, Jacob Low-rank solution of Lyapunov equations. (English) Zbl 1068.65053 SIAM Rev. 46, No. 4, 693-713 (2004). Reviewer: R. Militaru (Craiova) MSC: 65F30 65F10 15A24 93C05 PDFBibTeX XMLCite \textit{J.-R. Li} and \textit{J. White}, SIAM Rev. 46, No. 4, 693--713 (2004; Zbl 1068.65053) Full Text: DOI
Blondel, Vincent D.; Gajardo, Anahí; Heymans, Maureen; Senellart, Pierre; Van Dooren, Paul A measure of similarity between graph vertices: Applications to synonym extraction and web searching. (English) Zbl 1055.05099 SIAM Rev. 46, No. 4, 647-666 (2004). MSC: 05C50 05C85 15A18 68R10 PDFBibTeX XMLCite \textit{V. D. Blondel} et al., SIAM Rev. 46, No. 4, 647--666 (2004; Zbl 1055.05099) Full Text: DOI
Strang, Gilbert; Nguyen, Tri The interplay of ranks of submatrices. (English) Zbl 1063.15002 SIAM Rev. 46, No. 4, 637-646 (2004). Reviewer: John D. Dixon (Ottawa) MSC: 15A03 15A09 65F05 65F50 PDFBibTeX XMLCite \textit{G. Strang} and \textit{T. Nguyen}, SIAM Rev. 46, No. 4, 637--646 (2004; Zbl 1063.15002) Full Text: DOI
Ding, Chris H. Q.; Zha, Hongyuan; He, Xiaofeng; Husbands, Parry; Simon, Horst D. Link analysis: hubs and authorities on the world wide web. (English) Zbl 1060.68040 SIAM Rev. 46, No. 2, 256-268 (2004). MSC: 68P20 68M10 05C80 15A18 05C50 94C15 PDFBibTeX XMLCite \textit{C. H. Q. Ding} et al., SIAM Rev. 46, No. 2, 256--268 (2004; Zbl 1060.68040) Full Text: DOI
Elmroth, Erik; Gustavson, Fred; Jonsson, Isak; Kågström, Bo Recursive blocked algorithms and hybrid data structures for dense matrix library software. (English) Zbl 1068.65040 SIAM Rev. 46, No. 1, 3-45 (2004). Reviewer: R. Militaru (Craiova) MSC: 65Fxx 65Y15 65Y05 65-02 15A23 15A24 68M20 68W30 PDFBibTeX XMLCite \textit{E. Elmroth} et al., SIAM Rev. 46, No. 1, 3--45 (2004; Zbl 1068.65040) Full Text: DOI
Higham, Nicholas J. \(J\)-orthogonal matrices: Properties and generation. (English) Zbl 1034.65026 SIAM Rev. 45, No. 3, 504-519 (2003). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65F25 15A23 65F35 PDFBibTeX XMLCite \textit{N. J. Higham}, SIAM Rev. 45, No. 3, 504--519 (2003; Zbl 1034.65026) Full Text: DOI
Moler, Cleve; Van Loan, Charles Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. (English) Zbl 1030.65029 SIAM Rev. 45, No. 1, 3-49 (2003). Reviewer: Thomas Sonar (Braunschweig) MSC: 65F20 15A12 65L05 65F35 PDFBibTeX XMLCite \textit{C. Moler} and \textit{C. Van Loan}, SIAM Rev. 45, No. 1, 3--49 (2003; Zbl 1030.65029) Full Text: DOI
De Schutter, Bart; De Moor, Bart The QR decomposition and the singular value decomposition in the symmetrized max-plus algebra revisited. (English) Zbl 1006.15014 SIAM Rev. 44, No. 3, 417-454 (2002). MSC: 15A30 93C65 15A23 16S50 15A18 PDFBibTeX XMLCite \textit{B. De Schutter} and \textit{B. De Moor}, SIAM Rev. 44, No. 3, 417--454 (2002; Zbl 1006.15014) Full Text: DOI
Harris, William A. jun.; Fillmore, Jay P.; Smith, Donald R. Matrix exponentials—another approach. (English) Zbl 0992.65078 SIAM Rev. 43, No. 4, 694-706 (2001). MSC: 65L05 34A30 15A18 15A21 PDFBibTeX XMLCite \textit{W. A. Harris jun.} et al., SIAM Rev. 43, No. 4, 694--706 (2001; Zbl 0992.65078) Full Text: DOI
Tisseur, Françoise; Meerbergen, Karl The quadratic eigenvalue problem. (English) Zbl 0985.65028 SIAM Rev. 43, No. 2, 235-286 (2001). Reviewer: Alan L.Andrew (Bundoora) MSC: 65F15 65L15 65F30 15A22 65G50 PDFBibTeX XMLCite \textit{F. Tisseur} and \textit{K. Meerbergen}, SIAM Rev. 43, No. 2, 235--286 (2001; Zbl 0985.65028) Full Text: DOI
MacCluer, C. R. The many proofs and applications of Perron’s theorem. (English) Zbl 0959.15022 SIAM Rev. 42, No. 3, 487-498 (2000). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 15B48 65F15 60J20 15A18 91B24 91B64 91B50 15A42 PDFBibTeX XMLCite \textit{C. R. MacCluer}, SIAM Rev. 42, No. 3, 487--498 (2000; Zbl 0959.15022) Full Text: DOI
Berry, Michael W.; Drmac, Zlatko; Jessup, Elizabeth R. Matrices, vector spaces, and information retrieval. (English) Zbl 0924.68069 SIAM Rev. 41, No. 2, 335-362 (1999). MSC: 68P20 15A18 65F50 15-01 15A03 PDFBibTeX XMLCite \textit{M. W. Berry} et al., SIAM Rev. 41, No. 2, 335--362 (1999; Zbl 0924.68069) Full Text: DOI
Rump, Siegfried M. Ill-conditioned matrices are componentwise near to singularity. (English) Zbl 0923.15003 SIAM Rev. 41, No. 1, 102-112 (1999). Reviewer: J.Rohn (Praha) MSC: 15A12 15A42 65F35 PDFBibTeX XMLCite \textit{S. M. Rump}, SIAM Rev. 41, No. 1, 102--112 (1999; Zbl 0923.15003) Full Text: DOI
Li, Chi-Kwong; Mathias, Roy Extremal characterizations of the Schur complement and resulting inequalities. (English) Zbl 0948.15017 SIAM Rev. 42, No. 2, 233-246 (2000). Reviewer: Váslaw Burjan (Praha) MSC: 15A42 15A09 15A21 15A18 47A63 PDFBibTeX XMLCite \textit{C.-K. Li} and \textit{R. Mathias}, SIAM Rev. 42, No. 2, 233--246 (1998; Zbl 0948.15017) Full Text: DOI
Elaydi, Saber N.; Harris, William A. jun. On the computation of \(A^{n}\). (English) Zbl 0913.65037 SIAM Rev. 40, No. 4, 965-971 (1998). Reviewer: F.Szidarovszky (Tucson) MSC: 65F30 15A21 15-01 PDFBibTeX XMLCite \textit{S. N. Elaydi} and \textit{W. A. Harris jun.}, SIAM Rev. 40, No. 4, 965--971 (1998; Zbl 0913.65037) Full Text: DOI
Kohaupt, Ludwig Basis of eigenvectors and principal vectors associated with Gauss-Seidel matrix of \(A = \text{tridiag }[-1\;2\;-1]\). (English) Zbl 1050.15501 SIAM Rev. 40, No. 4, 959-964 (1998). MSC: 15A18 65F50 PDFBibTeX XMLCite \textit{L. Kohaupt}, SIAM Rev. 40, No. 4, 959--964 (1998; Zbl 1050.15501) Full Text: DOI
Bujosa, A.; Criado, R.; Vega, C. Jordan normal form via elementary transformations. (English) Zbl 0918.65026 SIAM Rev. 40, No. 4, 947-956 (1998). Reviewer: J.D.Dixon (Ottawa) MSC: 65F15 65F30 15A21 15-04 PDFBibTeX XMLCite \textit{A. Bujosa} et al., SIAM Rev. 40, No. 4, 947--956 (1998; Zbl 0918.65026) Full Text: DOI
Hou, Shui-Hung A simple proof of the Leverrier-Faddeev characteristic polynomial algorithm. (English) Zbl 0912.65035 SIAM Rev. 40, No. 3, 706-709 (1998). Reviewer: G.Jumarie (Montréal) MSC: 65F30 13C05 15A18 15A09 PDFBibTeX XMLCite \textit{S.-H. Hou}, SIAM Rev. 40, No. 3, 706--709 (1998; Zbl 0912.65035) Full Text: DOI
Andrew, Alan L. Centrosymmetric matrices. (English) Zbl 0918.15006 SIAM Rev. 40, No. 3, 697-698 (1998). Reviewer: E.Kreyszig (Ottawa) MSC: 15B57 15A18 PDFBibTeX XMLCite \textit{A. L. Andrew}, SIAM Rev. 40, No. 3, 697--698 (1998; Zbl 0918.15006) Full Text: DOI
Peres, Pedro L. D.; Bonatti, Ivanil S.; Lopes, Amauri Transmission line modeling: A circuit theory approach. (English) Zbl 0956.94028 SIAM Rev. 40, No. 2, 347-352 (1998). MSC: 94C05 15A15 PDFBibTeX XMLCite \textit{P. L. D. Peres} et al., SIAM Rev. 40, No. 2, 347--352 (1998; Zbl 0956.94028) Full Text: DOI
Bhaya, Amit Real matrices with positive determinant are homotopic to the identity. (English) Zbl 0914.15003 SIAM Rev. 40, No. 2, 335-340 (1998). Reviewer: R.Covaci (Cluj-Napoca) MSC: 15A15 93B05 93B55 55M25 PDFBibTeX XMLCite \textit{A. Bhaya}, SIAM Rev. 40, No. 2, 335--340 (1998; Zbl 0914.15003) Full Text: DOI
Chu, Moody T. Inverse eigenvalue problems. (English) Zbl 0915.15008 SIAM Rev. 40, No. 1, 1-39 (1998). Reviewer: A.Bultheel (Leuven) MSC: 15A18 15-02 65F15 34A55 35R30 PDFBibTeX XMLCite \textit{M. T. Chu}, SIAM Rev. 40, No. 1, 1--39 (1998; Zbl 0915.15008) Full Text: DOI
Dax, Achiya An elementary proof of Farkas’ lemma. (English) Zbl 0891.15011 SIAM Rev. 39, No. 3, 503-507 (1997). Reviewer: R.von Randow (Bonn) MSC: 15A39 90C05 PDFBibTeX XMLCite \textit{A. Dax}, SIAM Rev. 39, No. 3, 503--507 (1997; Zbl 0891.15011) Full Text: DOI
Trefethen, Lloyd N. Pseudospectra of linear operators. (English) Zbl 0896.15006 SIAM Rev. 39, No. 3, 383-406 (1997). Reviewer: L.Elsner (Bielefeld) MSC: 15A18 76E05 47A10 65F15 PDFBibTeX XMLCite \textit{L. N. Trefethen}, SIAM Rev. 39, No. 3, 383--406 (1997; Zbl 0896.15006) Full Text: DOI
Ipsen, Ilse C. F. Computing an eigenvector with inverse iteration. (English) Zbl 0874.65029 SIAM Rev. 39, No. 2, 254-291 (1997). MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{I. C. F. Ipsen}, SIAM Rev. 39, No. 2, 254--291 (1997; Zbl 0874.65029) Full Text: DOI
Karro, John; Li, Chi-Kwong A unified elementary approach to canonical forms of matrices. (English) Zbl 0874.15007 SIAM Rev. 39, No. 2, 305-309 (1997). MSC: 15A21 PDFBibTeX XMLCite \textit{J. Karro} and \textit{C.-K. Li}, SIAM Rev. 39, No. 2, 305--309 (1997; Zbl 0874.15007) Full Text: DOI
Reid, Russell M. Some eigenvalue properties of persymmetric matrices. (English) Zbl 0876.15006 SIAM Rev. 39, No. 2, 313-316 (1997). MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{R. M. Reid}, SIAM Rev. 39, No. 2, 313--316 (1997; Zbl 0876.15006) Full Text: DOI
Duncan, J.; Khavinson, D.; Shapiro, H. Rectangular parallelepipeds in ellipsoids. (English) Zbl 0865.51015 SIAM Rev. 38, No. 4, 655-657 (1996). Reviewer: E.Ellers (Toronto) MSC: 51N20 15A63 PDFBibTeX XMLCite \textit{J. Duncan} et al., SIAM Rev. 38, No. 4, 655--657 (1996; Zbl 0865.51015) Full Text: DOI
Troutt, Marvin D.; Elsaid, Hussein H. The potential value of Saaty’s eigenvector scaling method for short-term forecasting of currency exchange rates. (English) Zbl 0862.15005 SIAM Rev. 38, No. 4, 650-654 (1996). Reviewer: K.H.Kim (Montgomery) MSC: 15A12 91B74 15B48 15A18 PDFBibTeX XMLCite \textit{M. D. Troutt} and \textit{H. H. Elsaid}, SIAM Rev. 38, No. 4, 650--654 (1996; Zbl 0862.15005) Full Text: DOI
Eslami, Mansour On the extension of a stability bound: The multiple large-parameter variations case. (English) Zbl 0844.34049 SIAM Rev. 38, No. 1, 120-127 (1996). Reviewer: W.Müller (Berlin) MSC: 34D20 93D09 93B35 15A60 PDFBibTeX XMLCite \textit{M. Eslami}, SIAM Rev. 38, No. 1, 120--127 (1996; Zbl 0844.34049) Full Text: DOI
Berry, Michael W.; Dumais, Susan T.; O’Brien, Gavin W. Using linear algebra for intelligent information retrieval. (English) Zbl 0842.68026 SIAM Rev. 37, No. 4, 573-595 (1995). MSC: 68P20 15A18 15B48 65F15 65F50 PDFBibTeX XMLCite \textit{M. W. Berry} et al., SIAM Rev. 37, No. 4, 573--595 (1995; Zbl 0842.68026) Full Text: DOI Link
Chu, Moody T.; Funderlic, Robert E.; Golub, Gene H. A rank-one reduction formula and its applications to matrix factorizations. (English) Zbl 0844.65033 SIAM Rev. 37, No. 4, 512-530 (1995). Reviewer: A.Swift (Palmerston North) MSC: 65F30 65F15 15A23 PDFBibTeX XMLCite \textit{M. T. Chu} et al., SIAM Rev. 37, No. 4, 512--530 (1995; Zbl 0844.65033) Full Text: DOI
Kailath, Thomas; Sayed, Ali H. Displacement structure: Theory and applications. (English) Zbl 0839.65028 SIAM Rev. 37, No. 3, 297-386 (1995). Reviewer: Xie Shenquan (Xiangtan) MSC: 65F05 15A23 15A06 30C15 30D50 47A57 60G35 93A99 93C99 93C55 93E11 93E24 30E05 PDFBibTeX XMLCite \textit{T. Kailath} and \textit{A. H. Sayed}, SIAM Rev. 37, No. 3, 297--386 (1995; Zbl 0839.65028) Full Text: DOI
Bagnara, Roberto A unified proof for the convergence of Jacobi and Gauss-Seidel methods. (English) Zbl 0824.65013 SIAM Rev. 37, No. 1, 93-97 (1995). Reviewer: K.Georgiev (Sofia) MSC: 65F10 15A42 PDFBibTeX XMLCite \textit{R. Bagnara}, SIAM Rev. 37, No. 1, 93--97 (1995; Zbl 0824.65013) Full Text: DOI
Nield, D. A. Odd-even factorization results for eigenvalue problems. (English) Zbl 0814.15006 SIAM Rev. 36, No. 4, 649-651 (1994). Reviewer: H.-J.Kowalsky (Braunschweig) MSC: 15A18 34L10 PDFBibTeX XMLCite \textit{D. A. Nield}, SIAM Rev. 36, No. 4, 649--651 (1994; Zbl 0814.15006) Full Text: DOI
Eslami, Mansour Optimization of a stability bound. (English) Zbl 0794.34043 SIAM Rev. 35, No. 4, 625-630 (1993). Reviewer: J.Šimša (Brno) MSC: 34D20 93D09 15A60 34D10 PDFBibTeX XMLCite \textit{M. Eslami}, SIAM Rev. 35, No. 4, 625--630 (1993; Zbl 0794.34043) Full Text: DOI
Stewart, G. W. On the early history of the singular value decomposition. (English) Zbl 0799.01016 SIAM Rev. 35, No. 4, 551-566 (1993). Reviewer: B.M.Schein (Fayetteville) MSC: 01A55 01A60 15-03 15A18 PDFBibTeX XMLCite \textit{G. W. Stewart}, SIAM Rev. 35, No. 4, 551--566 (1993; Zbl 0799.01016) Full Text: DOI Link
Keener, James P. The Perron-Frobenius theorem and the ranking of football teams. (English) Zbl 0788.62064 SIAM Rev. 35, No. 1, 80-93 (1993). MSC: 62J15 15B48 15A18 05C50 PDFBibTeX XMLCite \textit{J. P. Keener}, SIAM Rev. 35, No. 1, 80--93 (1993; Zbl 0788.62064) Full Text: DOI