Pütz, Michele; Oevermann, Michael Performance and accuracy of the basic closure algorithm of quadrature-based moment methods. (English) Zbl 07766228 J. Comput. Phys. 494, Article ID 112514, 19 p. (2023). MSC: 65Fxx 82Cxx 15Axx PDFBibTeX XMLCite \textit{M. Pütz} and \textit{M. Oevermann}, J. Comput. Phys. 494, Article ID 112514, 19 p. (2023; Zbl 07766228) Full Text: DOI
Schwartz, Oded; Vaknin, Noa Pebbling game and alternative basis for high performance matrix multiplication. (English) Zbl 1527.15001 SIAM J. Sci. Comput. 45, No. 6, C277-C303 (2023). MSC: 15-04 65F99 65K05 PDFBibTeX XMLCite \textit{O. Schwartz} and \textit{N. Vaknin}, SIAM J. Sci. Comput. 45, No. 6, C277--C303 (2023; Zbl 1527.15001) Full Text: DOI
Badreddine, Siwar; Chollet, Igor; Grigori, Laura Factorized structure of the long-range two-electron integrals tensor and its application in quantum chemistry. (English) Zbl 07748046 J. Comput. Phys. 493, Article ID 112460, 29 p. (2023). MSC: 65Fxx 65Dxx 15Axx PDFBibTeX XMLCite \textit{S. Badreddine} et al., J. Comput. Phys. 493, Article ID 112460, 29 p. (2023; Zbl 07748046) Full Text: DOI arXiv
Caliari, Marco; Cassini, Fabio; Zivcovich, Franco A \(\mu\)-mode BLAS approach for multidimensional tensor-structured problems. (English) Zbl 1528.15001 Numer. Algorithms 92, No. 4, 2483-2508 (2023). MSC: 15-04 15A69 65Y04 PDFBibTeX XMLCite \textit{M. Caliari} et al., Numer. Algorithms 92, No. 4, 2483--2508 (2023; Zbl 1528.15001) Full Text: DOI arXiv
Boman, Erik G.; Higgins, Andrew J.; Szyld, Daniel B. Optimal size of the block in block GMRES on GPUs: computational model and experiments. (English) Zbl 1507.65072 Numer. Algorithms 92, No. 1, 119-147 (2023). MSC: 65F10 65F50 65Y10 15A06 PDFBibTeX XMLCite \textit{E. G. Boman} et al., Numer. Algorithms 92, No. 1, 119--147 (2023; Zbl 1507.65072) Full Text: DOI
Rueda-Ramírez, Andrés M.; Ferrer, Esteban; Kopriva, David A.; Rubio, Gonzalo; Valero, Eusebio A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations. (English) Zbl 07510067 J. Comput. Phys. 426, Article ID 109953, 28 p. (2021). MSC: 65-XX 15-XX PDFBibTeX XMLCite \textit{A. M. Rueda-Ramírez} et al., J. Comput. Phys. 426, Article ID 109953, 28 p. (2021; Zbl 07510067) Full Text: DOI arXiv
Solomonik, Edgar; Demmel, James; Hoefler, Torsten Communication lower bounds of bilinear algorithms for symmetric tensor contractions. (English) Zbl 1487.65051 SIAM J. Sci. Comput. 43, No. 5, A3328-A3356 (2021). MSC: 65F99 15A69 65Y05 68Q25 PDFBibTeX XMLCite \textit{E. Solomonik} et al., SIAM J. Sci. Comput. 43, No. 5, A3328--A3356 (2021; Zbl 1487.65051) Full Text: DOI arXiv
Steel, Thijs; Camps, Daan; Meerbergen, Karl; Vandebril, Raf A multishift, multipole rational QZ method with aggressive early deflation. (English) Zbl 1467.65032 SIAM J. Matrix Anal. Appl. 42, No. 2, 753-774 (2021). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{T. Steel} et al., SIAM J. Matrix Anal. Appl. 42, No. 2, 753--774 (2021; Zbl 1467.65032) Full Text: DOI arXiv
Bosner, Nela Parallel reduction of four matrices to condensed form for a generalized matrix eigenvalue algorithm. (English) Zbl 1456.65189 Numer. Algorithms 86, No. 1, 153-178 (2021). MSC: 65F15 15A21 15A18 15A23 65Y05 65Y20 PDFBibTeX XMLCite \textit{N. Bosner}, Numer. Algorithms 86, No. 1, 153--178 (2021; Zbl 1456.65189) Full Text: DOI
Yuan, Xinru; Huang, Wen; Absil, P.-A.; Gallivan, Kyle A. Computing the matrix geometric mean: Riemannian versus Euclidean conditioning, implementation techniques, and a Riemannian BFGS method. (English) Zbl 1474.65131 Numer. Linear Algebra Appl. 27, No. 5, e2321, 23 p. (2020). MSC: 65F99 15B48 PDFBibTeX XMLCite \textit{X. Yuan} et al., Numer. Linear Algebra Appl. 27, No. 5, e2321, 23 p. (2020; Zbl 1474.65131) Full Text: DOI
Mohanty, Sraban Kumar; Sajith, G. An input/output efficient algorithm for Hessenberg reduction. (English) Zbl 1480.65110 Int. J. Found. Comput. Sci. 30, No. 8, 1279-1300 (2019). MSC: 65F99 68W40 15A23 PDFBibTeX XMLCite \textit{S. K. Mohanty} and \textit{G. Sajith}, Int. J. Found. Comput. Sci. 30, No. 8, 1279--1300 (2019; Zbl 1480.65110) Full Text: DOI
De Terán, Fernando; Iannazzo, Bruno; Poloni, Federico; Robol, Leonardo Nonsingular systems of generalized Sylvester equations: an algorithmic approach. (English) Zbl 1474.65108 Numer. Linear Algebra Appl. 26, No. 5, e2261, 29 p. (2019). Reviewer: Ninoslav Truhar (Osijek) MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{F. De Terán} et al., Numer. Linear Algebra Appl. 26, No. 5, e2261, 29 p. (2019; Zbl 1474.65108) Full Text: DOI arXiv
Amestoy, Patrick R.; de la Kethulle de Ryhove, Sébastien; L’Excellent, Jean-Yves; Moreau, Gilles; Shantsev, Daniil V. Efficient use of sparsity by direct solvers applied to 3D controlled-source EM problems. (English) Zbl 1427.65033 Comput. Geosci. 23, No. 6, 1237-1258 (2019). MSC: 65F05 15A23 65F50 65Y05 86A20 86A22 PDFBibTeX XMLCite \textit{P. R. Amestoy} et al., Comput. Geosci. 23, No. 6, 1237--1258 (2019; Zbl 1427.65033) Full Text: DOI Link
Amestoy, Patrick R.; L’Excellent, Jean-Yves; Moreau, Gilles On exploiting sparsity of multiple right-hand sides in sparse direct solvers. (English) Zbl 1406.65030 SIAM J. Sci. Comput. 41, No. 1, A269-A291 (2019). MSC: 65F50 05C50 65F05 15A06 PDFBibTeX XMLCite \textit{P. R. Amestoy} et al., SIAM J. Sci. Comput. 41, No. 1, A269--A291 (2019; Zbl 1406.65030) 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
Hanson, Richard J.; Hopkins, Tim Remark on Algorithm 539: A modern Fortran reference implementation for carefully computing the Euclidean norm. (English) Zbl 1484.65098 ACM Trans. Math. Softw. 44, No. 3, Article No. 24, 23 p. (2018). MSC: 65Fxx 15A60 65Y15 PDFBibTeX XMLCite \textit{R. J. Hanson} and \textit{T. Hopkins}, ACM Trans. Math. Softw. 44, No. 3, Article No. 24, 23 p. (2018; Zbl 1484.65098) Full Text: DOI
Huang, Jianyu; Matthews, Devin A.; van de Geijn, Robert A. Strassen’s algorithm for tensor contraction. (English) Zbl 1416.65117 SIAM J. Sci. Comput. 40, No. 3, C305-C326 (2018). MSC: 65F30 65Y20 15A69 PDFBibTeX XMLCite \textit{J. Huang} et al., SIAM J. Sci. Comput. 40, No. 3, C305--C326 (2018; Zbl 1416.65117) Full Text: DOI arXiv
Matthews, Devin A. High-performance tensor contraction without transposition. (English) Zbl 1379.65024 SIAM J. Sci. Comput. 40, No. 1, C1-C24 (2018). MSC: 65F30 15A69 65Y20 PDFBibTeX XMLCite \textit{D. A. Matthews}, SIAM J. Sci. Comput. 40, No. 1, C1--C24 (2018; Zbl 1379.65024) Full Text: DOI arXiv
Gentle, James E. Matrix algebra. Theory, computations and applications in statistics. 2nd edition. (English) Zbl 1386.15002 Springer Texts in Statistics. Cham: Springer (ISBN 978-3-319-64866-8/pbk; 978-3-319-64867-5/ebook). xxix, 648 p. (2017). Reviewer: Frank Uhlig (Auburn) MSC: 15-01 62-01 65-01 PDFBibTeX XMLCite \textit{J. E. Gentle}, Matrix algebra. Theory, computations and applications in statistics. 2nd edition. Cham: Springer (2017; Zbl 1386.15002) Full Text: DOI
Lee, Geunseop; Barlow, Jesse Updating approximate principal components with applications to template tracking. (English) Zbl 1424.65053 Numer. Linear Algebra Appl. 24, No. 2, e2081, 12 p. (2017). Reviewer: Hasan Erbay (Kırıkkale) MSC: 65F30 15A23 65F25 PDFBibTeX XMLCite \textit{G. Lee} and \textit{J. Barlow}, Numer. Linear Algebra Appl. 24, No. 2, e2081, 12 p. (2017; Zbl 1424.65053) Full Text: DOI
Bosner, Nela; Karlsson, Lars Parallel and heterogeneous \(m\)-Hessenberg-triangular-triangular reduction. (English) Zbl 1355.65047 SIAM J. Sci. Comput. 39, No. 1, C29-C47 (2017). MSC: 65F05 15A21 PDFBibTeX XMLCite \textit{N. Bosner} and \textit{L. Karlsson}, SIAM J. Sci. Comput. 39, No. 1, C29--C47 (2017; Zbl 1355.65047) Full Text: DOI
Alonso, Pedro; Ibáñez, Javier; Sastre, Jorge; Peinado, Jesús; Defez, Emilio Efficient and accurate algorithms for computing matrix trigonometric functions. (English) Zbl 1416.65126 J. Comput. Appl. Math. 309, 325-332 (2017). MSC: 65F60 15A16 65Y05 PDFBibTeX XMLCite \textit{P. Alonso} et al., J. Comput. Appl. Math. 309, 325--332 (2017; Zbl 1416.65126) Full Text: DOI
Sukkari, Dalal; Ltaief, Hatem; Keyes, David A high performance QDWH-SVD solver using hardware accelerators. (English) Zbl 1369.65058 ACM Trans. Math. Softw. 43, No. 1, Article No. 6, 25 p. (2016). MSC: 65F15 15A23 65Y10 65Y20 PDFBibTeX XMLCite \textit{D. Sukkari} et al., ACM Trans. Math. Softw. 43, No. 1, Article No. 6, 25 p. (2016; Zbl 1369.65058) Full Text: DOI Link
Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef Schur complement-based domain decomposition preconditioners with low-rank corrections. (English) Zbl 1399.65238 Numer. Linear Algebra Appl. 23, No. 4, 706-729 (2016). Reviewer: Miroslav Tůma (Praha) MSC: 65M55 65F08 65F10 65F50 35J05 15A18 PDFBibTeX XMLCite \textit{R. Li} et al., Numer. Linear Algebra Appl. 23, No. 4, 706--729 (2016; Zbl 1399.65238) Full Text: DOI arXiv
Vannieuwenhoven, Nick; Meerbergen, Karl; Vandebril, Raf Computing the gradient in optimization algorithms for the CP decomposition in constant memory through tensor blocking. (English) Zbl 1320.65066 SIAM J. Sci. Comput. 37, No. 3, C415-C438 (2015). MSC: 65F30 15A69 65Y20 65K10 68W30 PDFBibTeX XMLCite \textit{N. Vannieuwenhoven} et al., SIAM J. Sci. Comput. 37, No. 3, C415--C438 (2015; Zbl 1320.65066) Full Text: DOI
Di Napoli, Edoardo; Fabregat-Traver, Diego; Quintana-Ortí, Gregorio; Bientinesi, Paolo Towards an efficient use of the BLAS library for multilinear tensor contractions. (English) Zbl 1336.65076 Appl. Math. Comput. 235, 454-468 (2014). MSC: 65F99 15A69 65Y15 65-04 PDFBibTeX XMLCite \textit{E. Di Napoli} et al., Appl. Math. Comput. 235, 454--468 (2014; Zbl 1336.65076) Full Text: DOI arXiv
Bientinesi, Paolo; Gunnels, John A.; Myers, Margaret E.; Quintana-Ortí, Enrique S.; Rhodes, Tyler; van de Geijn, Robert A.; van Zee, Field G. Deriving dense linear algebra libraries. (English) Zbl 1298.65003 Formal Asp. Comput. 25, No. 6, 933-945 (2013). MSC: 65-04 65Fxx 15-04 PDFBibTeX XMLCite \textit{P. Bientinesi} et al., Formal Asp. Comput. 25, No. 6, 933--945 (2013; Zbl 1298.65003) Full Text: DOI Link
Jeannerod, Claude-Pierre; Pernet, Clément; Storjohann, Arne Rank-profile revealing Gaussian elimination and the CUP matrix decomposition. (English) Zbl 1329.65065 J. Symb. Comput. 56, 46-68 (2013). MSC: 65F05 15A23 PDFBibTeX XMLCite \textit{C.-P. Jeannerod} et al., J. Symb. Comput. 56, 46--68 (2013; Zbl 1329.65065) Full Text: DOI arXiv
Ozaki, Katsuhisa; Ogita, Takeshi; Oishi, Shin’ichi; Rump, Siegfried M. Error-free transformations of matrix multiplication by using fast routines of matrix multiplication and its applications. (English) Zbl 1244.65062 Numer. Algorithms 59, No. 1, 95-118 (2012). Reviewer: Frank Uhlig (Auburn) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{K. Ozaki} et al., Numer. Algorithms 59, No. 1, 95--118 (2012; Zbl 1244.65062) Full Text: DOI
Dureisseix, David Generalized fraction-free \(LU\) factorization for singular systems with kernel extraction. (English) Zbl 1229.65056 Linear Algebra Appl. 436, No. 1, 27-40 (2012). MSC: 65F05 15A23 68W30 PDFBibTeX XMLCite \textit{D. Dureisseix}, Linear Algebra Appl. 436, No. 1, 27--40 (2012; Zbl 1229.65056) Full Text: DOI
Janecek, Andreas; Schulze Grotthoff, Stefan; Gansterer, Wilfried N. LibNMF – a library for nonnegative matrix factorization. (English) Zbl 1413.65001 Comput. Inform. 30, No. 2, 205-224 (2011). MSC: 65-04 65F30 15A23 65Y15 PDFBibTeX XMLCite \textit{A. Janecek} et al., Comput. Inform. 30, No. 2, 205--224 (2011; Zbl 1413.65001)
Mehrmann, Volker; Schröder, Christian Nonlinear eigenvalue and frequency response problems in industrial practice. (English) Zbl 1273.65058 J. Math. Ind. 1, Paper No. 7, 18 p. (2011). MSC: 65F18 15A18 PDFBibTeX XMLCite \textit{V. Mehrmann} and \textit{C. Schröder}, J. Math. Ind. 1, Paper No. 7, 18 p. (2011; Zbl 1273.65058) Full Text: DOI
Al-Mohy, Awad H.; Higham, Nicholas J. Computing the action of the matrix exponential, with an application to exponential integrators. (English) Zbl 1234.65028 SIAM J. Sci. Comput. 33, No. 2, 488-511 (2011). Reviewer: Frank Uhlig (Auburn) MSC: 65F60 15A16 65G50 65F35 65L05 34A30 PDFBibTeX XMLCite \textit{A. H. Al-Mohy} and \textit{N. J. Higham}, SIAM J. Sci. Comput. 33, No. 2, 488--511 (2011; Zbl 1234.65028) Full Text: DOI Link
González-Ballestero, C.; Robledo, L. M.; Bertsch, G. F. Numeric and symbolic evaluation of the Pfaffian of general skew-symmetric matrices. (English) Zbl 1221.65105 Comput. Phys. Commun. 182, No. 10, 2213-2218 (2011). MSC: 65F30 58A17 65F05 15A16 PDFBibTeX XMLCite \textit{C. González-Ballestero} et al., Comput. Phys. Commun. 182, No. 10, 2213--2218 (2011; Zbl 1221.65105) Full Text: DOI arXiv
Agullo, Emmanuel; Bouwmeester, Henricus; Dongarra, Jack; Kurzak, Jakub; Langou, Julien; Rosenberg, Lee Towards an efficient tile matrix inversion of symmetric positive definite matrices on multicore architectures. (English) Zbl 1323.65022 Palma, José M. Laginha M. (ed.) et al., High performance computing for computational science – VECPAR 2010. 9th international conference, Berkeley, CA, USA, June 22–25, 2010. Revised selected papers. Berlin: Springer (ISBN 978-3-642-19327-9/pbk). Lecture Notes in Computer Science 6449, 129-138 (2011). MSC: 65F05 65Y05 65Y10 15A09 PDFBibTeX XMLCite \textit{E. Agullo} et al., Lect. Notes Comput. Sci. 6449, 129--138 (2011; Zbl 1323.65022) Full Text: DOI
Hari, Vjeran; Singer, Sanja; Singer, Saša Block-oriented \(J\)-Jacobi methods for Hermitian matrices. (English) Zbl 1205.65152 Linear Algebra Appl. 433, No. 8-10, 1491-1512 (2010). Reviewer: Willy Govaerts (Gent) MSC: 65F15 65Y20 15B57 PDFBibTeX XMLCite \textit{V. Hari} et al., Linear Algebra Appl. 433, No. 8--10, 1491--1512 (2010; Zbl 1205.65152) Full Text: DOI
Oseledets, I. V.; Savostyanov, D. V.; Tyrtyshnikov, E. E. Linear algebra for tensor problems. (English) Zbl 1172.65018 Computing 85, No. 3, 169-188 (2009). MSC: 65F30 15A69 68P30 PDFBibTeX XMLCite \textit{I. V. Oseledets} et al., Computing 85, No. 3, 169--188 (2009; Zbl 1172.65018) Full Text: DOI
Baboulin, Marc; Gratton, Serge Using dual techniques to derive componentwise and mixed condition numbers for a linear function of a linear least squares solution. (English) Zbl 1168.65022 BIT 49, No. 1, 3-19 (2009). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F35 15A60 15A12 65F20 PDFBibTeX XMLCite \textit{M. Baboulin} and \textit{S. Gratton}, BIT 49, No. 1, 3--19 (2009; Zbl 1168.65022) Full Text: DOI
Arias, Enrique; Alberto, Angelines; Montesinos, Jesús; Rojo, Tomás; Cuartero, Fernando; Benet, Jesús A mathematical model of the static pantograph/catenary interaction. (English) Zbl 1154.90326 Int. J. Comput. Math. 86, No. 2, 333-340 (2009). MSC: 90B10 90-04 15A99 PDFBibTeX XMLCite \textit{E. Arias} et al., Int. J. Comput. Math. 86, No. 2, 333--340 (2009; Zbl 1154.90326) Full Text: DOI
Rump, Siegfried M.; Ogita, Takeshi; Oishi, Shin’ichi Accurate floating-point summation. I: Faithful rounding. (English) Zbl 1185.65082 SIAM J. Sci. Comput. 31, No. 1, 189-224 (2008). MSC: 65G50 65F35 15-04 65G99 65-04 PDFBibTeX XMLCite \textit{S. M. Rump} et al., SIAM J. Sci. Comput. 31, No. 1, 189--224 (2008; Zbl 1185.65082) Full Text: DOI
Demmel, James W.; Marques, Osni A.; Parlett, Beresford N.; Vömel, Christof Performance and accuracy of LAPACK’s symmetric tridiagonal eigensolvers. (English) Zbl 1165.65014 SIAM J. Sci. Comput. 30, No. 3, 1508-1526 (2008). MSC: 65F15 65F50 65Y20 15A18 15A23 PDFBibTeX XMLCite \textit{J. W. Demmel} et al., SIAM J. Sci. Comput. 30, No. 3, 1508--1526 (2008; Zbl 1165.65014) Full Text: DOI Link
Badía, José M.; Benner, Peter; Castillo, Maribel; Faßbender, Heike; Mayo, Rafael; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio Strategies for parallelizing the solution of rational matrix equations. (English) Zbl 1158.65317 Bischof, Christian (ed.) et al., Parallel computing: Architectures, algorithms and applications. Selected papers based on the presentations at the international parallel computing conference (ParCo 2007), Aachen, Germany, September 4–7, 2007. Amsterdam: IOS Press (ISBN 978-1-58603-796-3/hbk). Advances in Parallel Computing 15, 255-262 (2008). MSC: 65F30 65Y05 15A24 PDFBibTeX XMLCite \textit{J. M. Badía} et al., Adv. Parallel Comput. 15, 255--262 (2008; Zbl 1158.65317)
Villard, Gilles Certification of the QR factor \(R\) and of lattice basis reducedness. (English) Zbl 1190.65059 Brown, C. W. (ed.), ISSAC 2007. Proceedings of the 32nd international symposium on symbolic and algebraic computation (ISSAC 2007), Waterloo, ON, Canada, July 29–August 1, 2007. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-59593-743-8). 361-368 (2007). MSC: 65F20 15A23 PDFBibTeX XMLCite \textit{G. Villard}, in: Proceedings of the 2007 international symposium on symbolic and algebraic computation, ISSAC 2007, Waterloo, ON, Canada, July 29--August 1, 2007. New York, NY: Association for Computing Machinery (ACM). 361--368 (2007; Zbl 1190.65059)
Bosner, Nela; Barlow, Jesse L. Block and parallel versions of one-sided bidiagonalization. (English) Zbl 1149.65031 SIAM J. Matrix Anal. Appl. 29, No. 3, 927-953 (2007). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A18 68W10 PDFBibTeX XMLCite \textit{N. Bosner} and \textit{J. L. Barlow}, SIAM J. Matrix Anal. Appl. 29, No. 3, 927--953 (2007; Zbl 1149.65031) Full Text: DOI
Campos, Carlos; Guerrero, David; Hernández, Vicente; Ralha, Rui Parallel bidiagonalization of a dense matrix. (English) Zbl 1145.65028 SIAM J. Matrix Anal. Appl. 29, No. 3, 826-837 (2007). MSC: 65F30 65Y05 15A21 PDFBibTeX XMLCite \textit{C. Campos} et al., SIAM J. Matrix Anal. Appl. 29, No. 3, 826--837 (2007; Zbl 1145.65028) Full Text: DOI
Kågström, Bo; Kressner, Daniel Multishift variants of the QZ algorithm with aggressive early deflation. (English) Zbl 1137.65017 SIAM J. Matrix Anal. Appl. 29, No. 1, 199-227 (2006). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{B. Kågström} and \textit{D. Kressner}, SIAM J. Matrix Anal. Appl. 29, No. 1, 199--227 (2006; Zbl 1137.65017) Full Text: DOI
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio Solving stable Sylvester equations via rational iterative schemes. (English) Zbl 1098.65041 J. Sci. Comput. 28, No. 1, 51-83 (2006). MSC: 65F30 15A24 65Y05 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Sci. Comput. 28, No. 1, 51--83 (2006; Zbl 1098.65041) Full Text: DOI
Frayssé, Valérie; Giraud, Luc; Gratton, Serge; Langou, Julien Algorithm 842: A set of GMRES routines for real and complex arithmetics on high performance computers. (English) Zbl 1070.65527 ACM Trans. Math. Softw. 31, No. 2, 228-238 (2005). MSC: 65F10 65F35 65Y15 15-04 65F25 PDFBibTeX XMLCite \textit{V. Frayssé} et al., ACM Trans. Math. Softw. 31, No. 2, 228--238 (2005; Zbl 1070.65527) Full Text: DOI
Kreßner, Daniel Numerical methods and software for general and structured eigenvalue problems. (English) Zbl 1213.65062 Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.). 267 p. (2004). MSC: 65F15 15-04 PDFBibTeX XMLCite \textit{D. Kreßner}, Numerical methods and software for general and structured eigenvalue problems. Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.) (2004; Zbl 1213.65062) Full Text: Link
Hanson, Richard J.; Hopkins, Tim Algorithm 830: Another visit with standard and modified Givens transformations and a remark on algorithm 539. (English) Zbl 1070.65533 ACM Trans. Math. Softw. 30, No. 1, 86-94 (2004). MSC: 65F25 15-04 65Y15 PDFBibTeX XMLCite \textit{R. J. Hanson} and \textit{T. Hopkins}, ACM Trans. Math. Softw. 30, No. 1, 86--94 (2004; Zbl 1070.65533) 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
Quintana-Ortí, Enrique S.; van de Geijn, Robert A. Formal derivation of algorithms: the triangular sylvester equation. (English) Zbl 1072.65064 ACM Trans. Math. Softw. 29, No. 2, 218-243 (2003). MSC: 65F30 15A24 65Y20 PDFBibTeX XMLCite \textit{E. S. Quintana-Ortí} and \textit{R. A. van de Geijn}, ACM Trans. Math. Softw. 29, No. 2, 218--243 (2003; Zbl 1072.65064) Full Text: DOI
Duff, Iain S.; Vömel, Christof Algorithm 818: A reference model implementation of the sparse BLAS in Fortran 95. (English) Zbl 1070.65526 ACM Trans. Math. Softw. 28, No. 2, 268-283 (2002). MSC: 65F10 65Y15 15-04 65F50 PDFBibTeX XMLCite \textit{I. S. Duff} and \textit{C. Vömel}, ACM Trans. Math. Softw. 28, No. 2, 268--283 (2002; Zbl 1070.65526) Full Text: DOI
Duff, Iain S.; Heroux, Michael A.; Pozo, Roldan An overview of the sparse basic linear algebra subprograms: The new standard from the BLAS technical forum. (English) Zbl 1070.65521 ACM Trans. Math. Softw. 28, No. 2, 239-267 (2002). MSC: 65Fxx 15-04 65Y15 PDFBibTeX XMLCite \textit{I. S. Duff} et al., ACM Trans. Math. Softw. 28, No. 2, 239--267 (2002; Zbl 1070.65521) Full Text: DOI
Li, Xiaoye S.; Martin, Michael C.; Thompson, Brandon J.; Tung, Teresa; Yoo, Daniel J.; Demmel, James W.; Bailey, David H.; Henry, Greg; Hida, Yozo; Iskandar, Jimmy; Kahan, William; Kang, Suh Y.; Kapur, Anil Design, implementation and testing of extended and mixed precision BLAS. (English) Zbl 1070.65523 ACM Trans. Math. Softw. 28, No. 2, 1512-205 (2002). MSC: 65Fxx 15-04 65Y20 PDFBibTeX XMLCite \textit{X. S. Li} et al., ACM Trans. Math. Softw. 28, No. 2, 1512--205 (2002; Zbl 1070.65523) Full Text: DOI Link
An updated set of basic linear algebra subprograms (BLAS). (English) Zbl 1070.65520 ACM Trans. Math. Softw. 28, No. 2, 135-151 (2002). MSC: 65Fxx 15-04 65Y15 PDFBibTeX XMLCite ACM Trans. Math. Softw. 28, No. 2, 135--151 (2002; Zbl 1070.65520) Full Text: DOI
Duff, Iain S.; Marrone, Michele; Radicati, Giuseppe; Vittoli, Carlo Level 3 basic linear algebra subprograms for sparse matrices: A user-level interface. (English) Zbl 0903.65041 ACM Trans. Math. Softw. 23, No. 3, 379-401 (1997). MSC: 65F50 15-04 65F10 65Y15 PDFBibTeX XMLCite \textit{I. S. Duff} et al., ACM Trans. Math. Softw. 23, No. 3, 379--401 (1997; Zbl 0903.65041) Full Text: DOI Link
Carr, Steve; Lehoucq, R. B. Compiler blockability of dense matrix factorizations. (English) Zbl 0903.65023 ACM Trans. Math. Softw. 23, No. 3, 336-361 (1997). MSC: 65F05 15-04 PDFBibTeX XMLCite \textit{S. Carr} and \textit{R. B. Lehoucq}, ACM Trans. Math. Softw. 23, No. 3, 336--361 (1997; Zbl 0903.65023) Full Text: DOI Link
Eldén, Lars; Sjöström, Eva Fast computation of the principal singular vectors of Toeplitz matrices arising in exponential data modelling. (English) Zbl 0875.15006 Signal Process. 50, No. 1-2, 151-164 (1996). MSC: 15B57 94A12 PDFBibTeX XMLCite \textit{L. Eldén} and \textit{E. Sjöström}, Signal Process. 50, No. 1--2, 151--164 (1996; Zbl 0875.15006) Full Text: DOI
Bischof, Christian H.; Datta, Biswa Nath; Purkayastha, Avijit A parallel algorithm for the Sylvester observer equation. (English) Zbl 0855.65043 SIAM J. Sci. Comput. 17, No. 3, 686-698 (1996). Reviewer: Costică Moroşanu (Iaşi) MSC: 65F30 15A24 65K10 65Y05 65F25 93B07 PDFBibTeX XMLCite \textit{C. H. Bischof} et al., SIAM J. Sci. Comput. 17, No. 3, 686--698 (1996; Zbl 0855.65043) Full Text: DOI
Duff, I. S.; Reid, J. K. Exploiting zeros on the diagonal in the direct solution of indefinite sparse symmetric linear systems. (English) Zbl 0884.65020 ACM Trans. Math. Softw. 22, No. 2, 227-257 (1996). MSC: 65F05 15-04 65F50 65Y15 PDFBibTeX XMLCite \textit{I. S. Duff} and \textit{J. K. Reid}, ACM Trans. Math. Softw. 22, No. 2, 227--257 (1996; Zbl 0884.65020) Full Text: DOI Link Link
Duff, I. S.; Reid, J. K. The design of MA48: A code for the direct solution of sparse unsymmetric linear systems of equations. (English) Zbl 0884.65019 ACM Trans. Math. Softw. 22, No. 2, 187-226 (1996). MSC: 65F05 65F50 15-04 65Y15 PDFBibTeX XMLCite \textit{I. S. Duff} and \textit{J. K. Reid}, ACM Trans. Math. Softw. 22, No. 2, 187--226 (1996; Zbl 0884.65019) Full Text: DOI Link Link
Kågström, Bo; Poromaa, Peter LAPACK-style algorithms and software for solving the generalized Sylvester equation and estimating the separation between regular matrix pairs. (English) Zbl 0884.65031 ACM Trans. Math. Softw. 22, No. 1, 78-103 (1996). MSC: 65F15 15A24 15-04 65F30 65Y15 PDFBibTeX XMLCite \textit{B. Kågström} and \textit{P. Poromaa}, ACM Trans. Math. Softw. 22, No. 1, 78--103 (1996; Zbl 0884.65031) Full Text: DOI Link
Duff, I. S.; Scott, J. A. The design of a new frontal code for solving sparse, unsymmetric systems. (English) Zbl 0884.65018 ACM Trans. Math. Softw. 22, No. 1, 30-45 (1996). MSC: 65F05 65F50 15-04 65Y20 PDFBibTeX XMLCite \textit{I. S. Duff} and \textit{J. A. Scott}, ACM Trans. Math. Softw. 22, No. 1, 30--45 (1996; Zbl 0884.65018) Full Text: DOI Link
Choi, Jaeyoung; Dongarra, Jack J.; Walker, David W. The design of a parallel dense linear algebra software library: Reduction to Hessenberg, tridiagonal, and bidiagonal form. (English) Zbl 0839.65050 Numer. Algorithms 10, No. 3-4, 379-399 (1995). Reviewer: N.Köckler (Paderborn) MSC: 65F30 65F15 15A21 15A12 65Y15 65Y20 65F35 PDFBibTeX XMLCite \textit{J. Choi} et al., Numer. Algorithms 10, No. 3--4, 379--399 (1995; Zbl 0839.65050) Full Text: DOI
László, Lajos An attainable lower bound for the best normal approximation. (English) Zbl 0827.15037 SIAM J. Matrix Anal. Appl. 15, No. 3, 1035-1043 (1994). Reviewer: S.Zlobec (Montreal) MSC: 15A60 PDFBibTeX XMLCite \textit{L. László}, SIAM J. Matrix Anal. Appl. 15, No. 3, 1035--1043 (1994; Zbl 0827.15037) Full Text: DOI
Stathopoulos, Andreas; Fischer, Charlotte F. A Davidson program for finding a few selected extreme eigenpairs of a large, sparse, real, symmetric matrix. (English) Zbl 0878.65029 Comput. Phys. Commun. 79, No. 2, 268-290 (1994). MSC: 65F15 15-04 65F50 PDFBibTeX XMLCite \textit{A. Stathopoulos} and \textit{C. F. Fischer}, Comput. Phys. Commun. 79, No. 2, 268--290 (1994; Zbl 0878.65029) Full Text: DOI
Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk Templates for the solution of linear systems: building blocks for iterative methods. (English) Zbl 0814.65030 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xiii, 112 p. (1993). Reviewer: N.Köckler (Paderborn) MSC: 65F10 65-02 15-04 65F50 65F35 65Y05 68W30 PDFBibTeX XMLCite \textit{R. Barrett} et al., Templates for the solution of linear systems: building blocks for iterative methods. Philadelphia, PA: SIAM (1993; Zbl 0814.65030)
Pan, Victor; Schreiber, Robert An improved Newton iteration for the generalized inverse of a matrix, with applications. (English) Zbl 0733.65023 SIAM J. Sci. Stat. Comput. 12, No. 5, 1109-1130 (1991). Reviewer: N.Köckler (Paderborn) MSC: 65F20 65F10 15A09 PDFBibTeX XMLCite \textit{V. Pan} and \textit{R. Schreiber}, SIAM J. Sci. Stat. Comput. 12, No. 5, 1109--1130 (1991; Zbl 0733.65023) Full Text: DOI Link
Higham, Nicholas J. The accuracy of solutions to triangular systems. (English) Zbl 0683.65029 SIAM J. Numer. Anal. 26, No. 5, 1252-1265 (1989). Reviewer: A.Ruhe MSC: 65F35 65F05 65G50 15A12 PDFBibTeX XMLCite \textit{N. J. Higham}, SIAM J. Numer. Anal. 26, No. 5, 1252--1265 (1989; Zbl 0683.65029) Full Text: DOI
Brewer, Orlie; Dongarra, Jack J.; Sorensen, Danny C. Tools to aid in the analysis of memory access patterns for FORTRAN programs. (English) Zbl 0662.68009 Parallel Comput. 9, No. 1, 25-35 (1988). MSC: 68N01 15A23 68N25 PDFBibTeX XMLCite \textit{O. Brewer} et al., Parallel Comput. 9, No. 1, 25--35 (1988; Zbl 0662.68009) Full Text: DOI
Dongarra, Jack J.; Du Croz, Jeremy; Hammarling, Sven; Hanson, Richard J. An extended set of basic linear algebra subprograms: Model implementation and test programs. (English) Zbl 0639.65017 ACM Trans. Math. Softw. 14, No. 1, 18-32 (1988). MSC: 65Fxx 15-04 PDFBibTeX XMLCite \textit{J. J. Dongarra} et al., ACM Trans. Math. Softw. 14, No. 1, 18--32 (1988; Zbl 0639.65017) Full Text: DOI Link
Hanson, R. J.; Krogh, F. T. Translation of algorithm 539: PC-BLAS, basic linear algebra subprograms for FORTRAN usage with the INTEL 8087, 80287 numeric data processor. (English) Zbl 0626.65044 ACM Trans. Math. Softw. 13, 311-317 (1987). MSC: 65F99 15-04 PDFBibTeX XMLCite \textit{R. J. Hanson} and \textit{F. T. Krogh}, ACM Trans. Math. Softw. 13, 311--317 (1987; Zbl 0626.65044) Full Text: DOI Link
Louter-Nool, Margreet Basic linear algebra subprograms (BLAS) on the CDC CYBER 205. (English) Zbl 0614.65039 Parallel Comput. 4, 143-165 (1987). MSC: 65F30 15-04 65Y05 PDFBibTeX XMLCite \textit{M. Louter-Nool}, Parallel Comput. 4, 143--165 (1987; Zbl 0614.65039) Full Text: DOI