Kressner, Daniel; Massei, Stefano; Zhu, Junli Improved ParaDiag via low-rank updates and interpolation. (English) Zbl 1523.65041 Numer. Math. 155, No. 1-2, 175-209 (2023). MSC: 65F45 65F10 65M22 93C20 PDFBibTeX XMLCite \textit{D. Kressner} et al., Numer. Math. 155, No. 1--2, 175--209 (2023; Zbl 1523.65041) Full Text: DOI arXiv OA License
Persson, David; Cortinovis, Alice; Kressner, Daniel Improved variants of the Hutch++ algorithm for trace estimation. (English) Zbl 1492.65112 SIAM J. Matrix Anal. Appl. 43, No. 3, 1162-1185 (2022). MSC: 65F55 15A15 65C05 68W40 PDFBibTeX XMLCite \textit{D. Persson} et al., SIAM J. Matrix Anal. Appl. 43, No. 3, 1162--1185 (2022; Zbl 1492.65112) Full Text: DOI arXiv
Dolgov, Sergey; Kressner, Daniel; Strössner, Christoph Functional Tucker approximation using Chebyshev interpolation. (English) Zbl 1510.65033 SIAM J. Sci. Comput. 43, No. 3, A2190-A2210 (2021). MSC: 65D15 41A10 41A63 15A69 65F55 PDFBibTeX XMLCite \textit{S. Dolgov} et al., SIAM J. Sci. Comput. 43, No. 3, A2190--A2210 (2021; Zbl 1510.65033) Full Text: DOI arXiv
Cortinovis, Alice; Kressner, Daniel Low-rank approximation in the Frobenius norm by column and row subset selection. (English) Zbl 07301504 SIAM J. Matrix Anal. Appl. 41, No. 4, 1651-1673 (2020). MSC: 65F55 PDFBibTeX XMLCite \textit{A. Cortinovis} and \textit{D. Kressner}, SIAM J. Matrix Anal. Appl. 41, No. 4, 1651--1673 (2020; Zbl 07301504) Full Text: DOI arXiv
Kressner, Daniel; Massei, Stefano; Robol, Leonardo Low-rank updates and a divide-and-conquer method for linear matrix equations. (English) Zbl 1448.65034 SIAM J. Sci. Comput. 41, No. 2, A848-A876 (2019). MSC: 65F45 65F55 15A06 93C20 PDFBibTeX XMLCite \textit{D. Kressner} et al., SIAM J. Sci. Comput. 41, No. 2, A848--A876 (2019; Zbl 1448.65034) Full Text: DOI arXiv
Bujanović, Zvonimir; Karlsson, Lars; Kressner, Daniel A Householder-based algorithm for Hessenberg-triangular reduction. (English) Zbl 1431.65041 SIAM J. Matrix Anal. Appl. 39, No. 3, 1270-1294 (2018). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 15A22 15A23 65Y20 PDFBibTeX XMLCite \textit{Z. Bujanović} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1270--1294 (2018; Zbl 1431.65041) Full Text: DOI arXiv
Guglielmi, Nicola; Rehman, Mutti-Ur; Kressner, Daniel A novel iterative method to approximate structured singular values. (English) Zbl 1365.65101 SIAM J. Matrix Anal. Appl. 38, No. 2, 361-386 (2017). MSC: 65F20 15A18 93D05 65K10 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Matrix Anal. Appl. 38, No. 2, 361--386 (2017; Zbl 1365.65101) Full Text: DOI arXiv
Ballani, Jonas; Kressner, Daniel Matrices with hierarchical low-rank structures. (English) Zbl 1361.65023 Benzi, Michele (ed.) et al., Exploiting hidden structure in matrix computations: algorithms and applications. Cetraro, Italy, June 22–26, 2015. Lecture notes given at the summer course. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-49886-7/pbk; 978-3-319-49887-4/ebook). Lecture Notes in Mathematics 2173. CIME Foundation Subseries, 161-209 (2016). MSC: 65F20 65F50 PDFBibTeX XMLCite \textit{J. Ballani} and \textit{D. Kressner}, Lect. Notes Math. 2173, 161--209 (2016; Zbl 1361.65023) Full Text: DOI
Sirković, Petar; Kressner, Daniel Subspace acceleration for large-scale parameter-dependent Hermitian eigenproblems. (English) Zbl 1382.65104 SIAM J. Matrix Anal. Appl. 37, No. 2, 695-718 (2016). MSC: 65F15 15B57 15A18 47A55 PDFBibTeX XMLCite \textit{P. Sirković} and \textit{D. Kressner}, SIAM J. Matrix Anal. Appl. 37, No. 2, 695--718 (2016; Zbl 1382.65104) Full Text: DOI arXiv
Kressner, Daniel; Uschmajew, André On low-rank approximability of solutions to high-dimensional operator equations and eigenvalue problems. (English) Zbl 1336.65093 Linear Algebra Appl. 493, 556-572 (2016). MSC: 65J10 15A69 41A25 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{A. Uschmajew}, Linear Algebra Appl. 493, 556--572 (2016; Zbl 1336.65093) Full Text: DOI arXiv
Kressner, Daniel; Sirković, Petar Truncated low-rank methods for solving general linear matrix equations. (English) Zbl 1363.65075 Numer. Linear Algebra Appl. 22, No. 3, 564-583 (2015). MSC: 65F30 15A24 65F08 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{P. Sirković}, Numer. Linear Algebra Appl. 22, No. 3, 564--583 (2015; Zbl 1363.65075) Full Text: DOI
Guglielmi, Nicola; Kressner, Daniel; Lubich, Christian Low rank differential equations for Hamiltonian matrix nearness problems. (English) Zbl 1312.65070 Numer. Math. 129, No. 2, 279-319 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A18 93B36 93B40 49N35 65F15 93B52 93C05 65K10 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., Numer. Math. 129, No. 2, 279--319 (2015; Zbl 1312.65070) Full Text: DOI
Kressner, Daniel; Roman, Jose E. Memory-efficient Arnoldi algorithms for linearizations of matrix polynomials in Chebyshev basis. (English) Zbl 1340.65059 Numer. Linear Algebra Appl. 21, No. 4, 569-588 (2014). Reviewer: Karl Meerbergen (Leuven) MSC: 65F15 15A18 15A22 65H17 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{J. E. Roman}, Numer. Linear Algebra Appl. 21, No. 4, 569--588 (2014; Zbl 1340.65059) Full Text: DOI Link
Karlsson, Lars; Kressner, Daniel; Lang, Bruno Optimally packed chains of bulges in multishift QR algorithms. (English) Zbl 1305.65122 ACM Trans. Math. Softw. 40, No. 2, Article No. 12, 15 p. (2014). MSC: 65F15 PDFBibTeX XMLCite \textit{L. Karlsson} et al., ACM Trans. Math. Softw. 40, No. 2, Article No. 12, 15 p. (2014; Zbl 1305.65122) Full Text: DOI
Grubišić, Luka; Kressner, Daniel On the eigenvalue decay of solutions to operator Lyapunov equations. (English) Zbl 1297.93088 Syst. Control Lett. 73, 42-47 (2014). MSC: 93B60 93B28 47N10 PDFBibTeX XMLCite \textit{L. Grubišić} and \textit{D. Kressner}, Syst. Control Lett. 73, 42--47 (2014; Zbl 1297.93088) Full Text: DOI
Effenberger, Cedric; Kressner, Daniel Chebyshev interpolation for nonlinear eigenvalue problems. (English) Zbl 1263.65048 BIT 52, No. 4, 933-951 (2012). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65H17 PDFBibTeX XMLCite \textit{C. Effenberger} and \textit{D. Kressner}, BIT 52, No. 4, 933--951 (2012; Zbl 1263.65048) Full Text: DOI Link
Benner, Peter; Ezzatti, Pablo; Kressner, Daniel; Quintana-Ortí, Enrique S.; Remón, Alfredo A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU platforms. (English) Zbl 1225.65037 Parallel Comput. 37, No. 8, 439-450 (2011). MSC: 65F10 65F30 65Y05 PDFBibTeX XMLCite \textit{P. Benner} et al., Parallel Comput. 37, No. 8, 439--450 (2011; Zbl 1225.65037) Full Text: DOI
Kågström, B.; Kressner, D.; Quintana-Ortí, E. S.; Quintana-Ortí, G. Blocked algorithms for the reduction to Hessenberg-triangular form revisited. (English) Zbl 1157.65348 BIT 48, No. 3, 563-584 (2008). MSC: 65F15 65Y20 PDFBibTeX XMLCite \textit{B. Kågström} et al., BIT 48, No. 3, 563--584 (2008; Zbl 1157.65348) Full Text: DOI Link
Granat, Robert; Kågström, Bo; Kressner, Daniel Computing periodic deflating subspaces associated with a specified set of eigenvalues. (English) Zbl 1146.65029 BIT 47, No. 4, 763-791 (2007). Reviewer: Frank Uhlig (Auburn) MSC: 65F15 93B60 PDFBibTeX XMLCite \textit{R. Granat} et al., BIT 47, No. 4, 763--791 (2007; Zbl 1146.65029) Full Text: DOI
Fassbender, Heike; Kressner, Daniel Structured eigenvalue problems. (English) Zbl 1177.65052 GAMM-Mitt. 29, No. 2, 297-318 (2006). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{H. Fassbender} and \textit{D. Kressner}, GAMM-Mitt. 29, No. 2, 297--318 (2006; Zbl 1177.65052) Full Text: DOI Link
Kressner, Daniel A periodic Krylov-Schur algorithm for large matrix products. (English) Zbl 1094.65027 Numer. Math. 103, No. 3, 461-483 (2006). MSC: 65F15 65F50 15-04 PDFBibTeX XMLCite \textit{D. Kressner}, Numer. Math. 103, No. 3, 461--483 (2006; Zbl 1094.65027) Full Text: DOI Link
Benner, Peter; Kressner, Daniel Balancing sparse Hamiltonian eigenproblems. (English) Zbl 1092.65026 Linear Algebra Appl. 415, No. 1, 3-19 (2006). Reviewer: Evgenij D’yakonov (Moskva) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{P. Benner} and \textit{D. Kressner}, Linear Algebra Appl. 415, No. 1, 3--19 (2006; Zbl 1092.65026) Full Text: DOI