Herrmann, Benjamin; Baddoo, Peter J.; Dawson, Scott T. M.; Semaan, Richard; Brunton, Steven L.; Mckeon, Beverley J. Interpolatory input and output projections for flow control. (English) Zbl 07742515 J. Fluid Mech. 971, Paper No. A27, 29 p. (2023). MSC: 76-XX PDFBibTeX XMLCite \textit{B. Herrmann} et al., J. Fluid Mech. 971, Paper No. A27, 29 p. (2023; Zbl 07742515) Full Text: DOI OA License
Dong, Yijun; Martinsson, Per-Gunnar Simpler is better: a comparative study of randomized pivoting algorithms for CUR and interpolative decompositions. (English) Zbl 07741460 Adv. Comput. Math. 49, No. 4, Paper No. 66, 29 p. (2023). MSC: 65F55 PDFBibTeX XMLCite \textit{Y. Dong} and \textit{P.-G. Martinsson}, Adv. Comput. Math. 49, No. 4, Paper No. 66, 29 p. (2023; Zbl 07741460) Full Text: DOI
Naderi, Mohammad Hossein; Babaee, Hessam Adaptive sparse interpolation for accelerating nonlinear stochastic reduced-order modeling with time-dependent bases. (English) Zbl 07653042 Comput. Methods Appl. Mech. Eng. 405, Article ID 115813, 25 p. (2023). MSC: 65M99 65F15 PDFBibTeX XMLCite \textit{M. H. Naderi} and \textit{H. Babaee}, Comput. Methods Appl. Mech. Eng. 405, Article ID 115813, 25 p. (2023; Zbl 07653042) Full Text: DOI arXiv
Gidisu, Perfect Y.; Hochstenbach, Michiel E. A hybrid DEIM and leverage scores based method for CUR index selection. (English) Zbl 07737827 Ehrhardt, Matthias (ed.) et al., Progress in industrial mathematics at ECMI 2021. Proceedings of the 21st European conference on mathematics for industry, ECMI 2021, Wuppertal, Germany, April 13–15, 2021. Selected and reviewed papers. Cham: Springer. Math. Ind. 39, 147-153 (2022). MSC: 65-XX PDFBibTeX XMLCite \textit{P. Y. Gidisu} and \textit{M. E. Hochstenbach}, Math. Ind. 39, 147--153 (2022; Zbl 07737827) Full Text: DOI arXiv
Strang, Gilbert; Drucker, Daniel Three matrix factorizations from the steps of elimination. (English) Zbl 1502.15010 Anal. Appl., Singap. 20, No. 6, 1147-1157 (2022). MSC: 15A23 15A09 PDFBibTeX XMLCite \textit{G. Strang} and \textit{D. Drucker}, Anal. Appl., Singap. 20, No. 6, 1147--1157 (2022; Zbl 1502.15010) Full Text: DOI
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
Che, Maolin; Chen, Juefei; Wei, Yimin Perturbations of the Tcur decomposition for tensor valued data in the Tucker format. (English) Zbl 1494.15024 J. Optim. Theory Appl. 194, No. 3, 852-877 (2022). MSC: 15A69 15A23 65F10 65F15 PDFBibTeX XMLCite \textit{M. Che} et al., J. Optim. Theory Appl. 194, No. 3, 852--877 (2022; Zbl 1494.15024) Full Text: DOI
Chen, Juefei; Wei, Yimin; Xu, Yanwei Tensor CUR decomposition under T-product and its perturbation. (English) Zbl 1490.15037 Numer. Funct. Anal. Optim. 43, No. 6, 698-722 (2022). MSC: 15A69 15A23 15A18 65F15 65F10 PDFBibTeX XMLCite \textit{J. Chen} et al., Numer. Funct. Anal. Optim. 43, No. 6, 698--722 (2022; Zbl 1490.15037) Full Text: DOI
Gidisu, Perfect Y.; Hochstenbach, Michiel E. A generalized CUR decomposition for matrix pairs. (English) Zbl 1492.65110 SIAM J. Math. Data Sci. 4, No. 1, 386-409 (2022). MSC: 65F55 15A23 65F15 PDFBibTeX XMLCite \textit{P. Y. Gidisu} and \textit{M. E. Hochstenbach}, SIAM J. Math. Data Sci. 4, No. 1, 386--409 (2022; Zbl 1492.65110) Full Text: DOI arXiv
Begović Kovač, Erna Hybrid CUR-type decomposition of tensors in the Tucker format. (English) Zbl 1485.15031 BIT 62, No. 1, 125-138 (2022). MSC: 15A69 15A23 65F99 PDFBibTeX XMLCite \textit{E. Begović Kovač}, BIT 62, No. 1, 125--138 (2022; Zbl 1485.15031) Full Text: DOI arXiv
Wang, Yuepeng; Ding, Xuemei; Hu, Kun; Fang, Fangxin; Navon, I. M.; Lin, Guang Feasibility of DEIM for retrieving the initial field via dimensionality reduction. (English) Zbl 07500740 J. Comput. Phys. 429, Article ID 110005, 15 p. (2021). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Comput. Phys. 429, Article ID 110005, 15 p. (2021; Zbl 07500740) Full Text: DOI
Karachalios, Dimitrios S.; Gosea, Ion Victor; Antoulas, Athanasios C. The Loewner framework for system identification and reduction. (English) Zbl 07445316 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 181-228 (2021). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{D. S. Karachalios} et al., in: Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 181--228 (2021; Zbl 07445316) Full Text: DOI
Hendryx, Emily P.; Rivière, Béatrice M.; Rusin, Craig G. An extended DEIM algorithm for subset selection and class identification. (English) Zbl 07432815 Mach. Learn. 110, No. 4, 621-650 (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{E. P. Hendryx} et al., Mach. Learn. 110, No. 4, 621--650 (2021; Zbl 07432815) Full Text: DOI
Cai, HanQin; Hamm, Keaton; Huang, Longxiu; Needell, Deanna Robust CUR decomposition: theory and imaging applications. (English) Zbl 07430663 SIAM J. Imaging Sci. 14, No. 4, 1472-1503 (2021). MSC: 65F55 15A23 65D18 PDFBibTeX XMLCite \textit{H. Cai} et al., SIAM J. Imaging Sci. 14, No. 4, 1472--1503 (2021; Zbl 07430663) Full Text: DOI arXiv
Cai, Hanqin; Hamm, Keaton; Huang, Longxiu; Needell, Deanna Mode-wise tensor decompositions: multi-dimensional generalizations of CUR decompositions. (English) Zbl 07415128 J. Mach. Learn. Res. 22, Paper No. 185, 36 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{H. Cai} et al., J. Mach. Learn. Res. 22, Paper No. 185, 36 p. (2021; Zbl 07415128) Full Text: arXiv Link
Hamm, Keaton; Huang, Longxiu Perturbations of CUR decompositions. (English) Zbl 07331677 SIAM J. Matrix Anal. Appl. 42, No. 1, 351-375 (2021). MSC: 65F55 15A23 68P99 68W20 PDFBibTeX XMLCite \textit{K. Hamm} and \textit{L. Huang}, SIAM J. Matrix Anal. Appl. 42, No. 1, 351--375 (2021; Zbl 07331677) Full Text: DOI arXiv
Che, Maolin; Wei, Yimin; Yan, Hong Randomized algorithms for the low multilinear rank approximations of tensors. (English) Zbl 1462.65045 J. Comput. Appl. Math. 390, Article ID 113380, 20 p. (2021). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{M. Che} et al., J. Comput. Appl. Math. 390, Article ID 113380, 20 p. (2021; Zbl 1462.65045) Full Text: DOI arXiv
Benner, Peter; Goyal, Pawan Interpolation-based model order reduction for polynomial systems. (English) Zbl 1458.93041 SIAM J. Sci. Comput. 43, No. 1, A84-A108 (2021). MSC: 93B11 93C10 93C05 15A69 PDFBibTeX XMLCite \textit{P. Benner} and \textit{P. Goyal}, SIAM J. Sci. Comput. 43, No. 1, A84--A108 (2021; Zbl 1458.93041) Full Text: DOI arXiv
Stoll, Martin A literature survey of matrix methods for data science. (English) Zbl 07778850 GAMM-Mitt. 43, No. 3, Article ID 202000013, 26 p. (2020). MSC: 65Fxx 15Axx 68Txx PDFBibTeX XMLCite \textit{M. Stoll}, GAMM-Mitt. 43, No. 3, Article ID 202000013, 26 p. (2020; Zbl 07778850) Full Text: DOI arXiv OA License
Martinsson, Per-Gunnar; Tropp, Joel A. Randomized numerical linear algebra: foundations and algorithms. (English) Zbl 07674565 Acta Numerica 29, 403-572 (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{P.-G. Martinsson} and \textit{J. A. Tropp}, Acta Numerica 29, 403--572 (2020; Zbl 07674565) 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
Petrov, Sergey Model order reduction algorithms in the design of electric machines. (English) Zbl 07223020 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 12th international conference, LSSC 2019, Sozopol, Bulgaria, June 10–14, 2019. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11958, 140-147 (2020). MSC: 65-XX PDFBibTeX XMLCite \textit{S. Petrov}, Lect. Notes Comput. Sci. 11958, 140--147 (2020; Zbl 07223020) Full Text: DOI
Saibaba, Arvind K. Randomized discrete empirical interpolation method for nonlinear model reduction. (English) Zbl 07206903 SIAM J. Sci. Comput. 42, No. 3, A1582-A1608 (2020). MSC: 65D05 68W20 PDFBibTeX XMLCite \textit{A. K. Saibaba}, SIAM J. Sci. Comput. 42, No. 3, A1582--A1608 (2020; Zbl 07206903) Full Text: DOI arXiv
Che, Maolin; Wei, Yimin; Yan, Hong The computation of low multilinear rank approximations of tensors via power scheme and random projection. (English) Zbl 07206106 SIAM J. Matrix Anal. Appl. 41, No. 2, 605-636 (2020). MSC: 65D15 15A18 15A69 65F15 65F10 65D40 68W20 PDFBibTeX XMLCite \textit{M. Che} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 605--636 (2020; Zbl 07206106) Full Text: DOI
Hamm, Keaton; Huang, Longxiu Perspectives on CUR decompositions. (English) Zbl 1432.15014 Appl. Comput. Harmon. Anal. 48, No. 3, 1088-1099 (2020). MSC: 15A23 65F55 PDFBibTeX XMLCite \textit{K. Hamm} and \textit{L. Huang}, Appl. Comput. Harmon. Anal. 48, No. 3, 1088--1099 (2020; Zbl 1432.15014) Full Text: DOI arXiv
Feng, Yuehua; Xiao, Jianwei; Gu, Ming Flip-flop spectrum-revealing QR factorization and its applications to singular value decomposition. (English) Zbl 1433.65083 ETNA, Electron. Trans. Numer. Anal. 51, 469-494 (2019). MSC: 65F55 15A18 15A23 PDFBibTeX XMLCite \textit{Y. Feng} et al., ETNA, Electron. Trans. Numer. Anal. 51, 469--494 (2019; Zbl 1433.65083) Full Text: DOI arXiv Link
Saibaba, Arvind K. Randomized subspace iteration: analysis of canonical angles and unitarily invariant norms. (English) Zbl 1406.65024 SIAM J. Matrix Anal. Appl. 40, No. 1, 23-48 (2019). MSC: 65F15 65F30 PDFBibTeX XMLCite \textit{A. K. Saibaba}, SIAM J. Matrix Anal. Appl. 40, No. 1, 23--48 (2019; Zbl 1406.65024) Full Text: DOI arXiv
Le Guennec, Y.; Brunet, J.-P.; Daim, F.-Z.; Chau, M.; Tourbier, Y. A parametric and non-intrusive reduced order model of car crash simulation. (English) Zbl 1440.74298 Comput. Methods Appl. Mech. Eng. 338, 186-207 (2018). MSC: 74P15 74S99 65K05 90C05 90C90 PDFBibTeX XMLCite \textit{Y. Le Guennec} et al., Comput. Methods Appl. Mech. Eng. 338, 186--207 (2018; Zbl 1440.74298) Full Text: DOI HAL
Kramer, Boris; Gorodetsky, Alex A. System identification via CUR-factored Hankel approximation. (English) Zbl 1383.93022 SIAM J. Sci. Comput. 40, No. 2, A848-A866 (2018). MSC: 93B11 93B30 93B40 93C05 65F99 15A18 PDFBibTeX XMLCite \textit{B. Kramer} and \textit{A. A. Gorodetsky}, SIAM J. Sci. Comput. 40, No. 2, A848--A866 (2018; Zbl 1383.93022) Full Text: DOI
Saibaba, Arvind K.; Alexanderian, Alen; Ipsen, Ilse C. F. Randomized matrix-free trace and log-determinant estimators. (English) Zbl 1378.65094 Numer. Math. 137, No. 2, 353-395 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F40 68W20 65F15 65F25 65F35 15B52 62F15 PDFBibTeX XMLCite \textit{A. K. Saibaba} et al., Numer. Math. 137, No. 2, 353--395 (2017; Zbl 1378.65094) Full Text: DOI arXiv
Voronin, Sergey; Martinsson, Per-Gunnar Efficient algorithms for CUR and interpolative matrix decompositions. (English) Zbl 1369.65049 Adv. Comput. Math. 43, No. 3, 495-516 (2017). MSC: 65F05 65F20 PDFBibTeX XMLCite \textit{S. Voronin} and \textit{P.-G. Martinsson}, Adv. Comput. Math. 43, No. 3, 495--516 (2017; Zbl 1369.65049) Full Text: DOI arXiv
Martinsson, Per-Gunnar; Voronin, Sergey A randomized blocked algorithm for efficiently computing rank-revealing factorizations of matrices. (English) Zbl 1352.65095 SIAM J. Sci. Comput. 38, No. 5, S485-S507 (2016). MSC: 65F05 65F20 PDFBibTeX XMLCite \textit{P.-G. Martinsson} and \textit{S. Voronin}, SIAM J. Sci. Comput. 38, No. 5, S485--S507 (2016; Zbl 1352.65095) Full Text: DOI arXiv
Saibaba, Arvind K. HOID: higher order interpolatory decomposition for tensors based on Tucker representation. (English) Zbl 1347.65079 SIAM J. Matrix Anal. Appl. 37, No. 3, 1223-1249 (2016). MSC: 65F30 15A23 15A69 PDFBibTeX XMLCite \textit{A. K. Saibaba}, SIAM J. Matrix Anal. Appl. 37, No. 3, 1223--1249 (2016; Zbl 1347.65079) Full Text: DOI arXiv
Drmač, Zlatko; Gugercin, Serkan A new selection operator for the discrete empirical interpolation method – improved a priori error bound and extensions. (English) Zbl 1382.65193 SIAM J. Sci. Comput. 38, No. 2, A631-A648 (2016). MSC: 65L05 15A12 15A23 93B11 93B40 PDFBibTeX XMLCite \textit{Z. Drmač} and \textit{S. Gugercin}, SIAM J. Sci. Comput. 38, No. 2, A631--A648 (2016; Zbl 1382.65193) Full Text: DOI arXiv