Luan, Zhenting; Ming, Zhenyu; Wu, Yuchi; Han, Wei; Chen, Xiang; Bai, Bo; Zhang, Liping Hankel tensor-based model and \(L_1\)-Tucker decomposition-based frequency recovery method for harmonic retrieval problem. (English) Zbl 07655423 Comput. Appl. Math. 42, No. 1, Paper No. 14, 13 p. (2023). MSC: 94A12 15A69 47N20 PDFBibTeX XMLCite \textit{Z. Luan} et al., Comput. Appl. Math. 42, No. 1, Paper No. 14, 13 p. (2023; Zbl 07655423) Full Text: DOI
Shen, Zewen; Serkh, Kirill On the evaluation of the eigendecomposition of the Airy integral operator. (English) Zbl 1486.81182 Appl. Comput. Harmon. Anal. 57, 105-150 (2022). MSC: 81V80 74K10 47G10 05C51 15B52 62E10 PDFBibTeX XMLCite \textit{Z. Shen} and \textit{K. Serkh}, Appl. Comput. Harmon. Anal. 57, 105--150 (2022; Zbl 1486.81182) Full Text: DOI arXiv
Bremer, James; Chen, Ze; Yang, Haizhao Rapid application of the spherical harmonic transform via interpolative decomposition butterfly factorization. (English) Zbl 1491.65163 SIAM J. Sci. Comput. 43, No. 6, A3789-A3808 (2021). MSC: 65R10 33C55 42C10 68W20 15A23 PDFBibTeX XMLCite \textit{J. Bremer} et al., SIAM J. Sci. Comput. 43, No. 6, A3789--A3808 (2021; Zbl 1491.65163) Full Text: DOI arXiv
Ravichandran, Mohan Principal submatrices, restricted invertibility, and a quantitative Gauss-Lucas theorem. (English) Zbl 1487.15030 Int. Math. Res. Not. 2020, No. 15, 4809-4832 (2020). Reviewer: Roksana Słowik (Gliwice) MSC: 15A60 15A10 15A09 47A05 30C15 12D10 PDFBibTeX XMLCite \textit{M. Ravichandran}, Int. Math. Res. Not. 2020, No. 15, 4809--4832 (2020; Zbl 1487.15030) Full Text: DOI arXiv
Ainsworth, Mark; Glusa, Christian The resiliency of multilevel methods on next-generation computing platforms: probabilistic model and its analysis. (English) Zbl 1464.65261 Singh, Vinai K. (ed.) et al., Advances in mathematical methods and high performance computing. Cham: Springer. Adv. Mech. Math. 41, 283-294 (2019). MSC: 65N55 65N30 65N75 65N50 65C30 65F10 65N12 65Y05 15B52 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{C. Glusa}, Adv. Mech. Math. 41, 283--294 (2019; Zbl 1464.65261) Full Text: DOI Link
Yin, Guojian A contour-integral based method with Schur-Rayleigh-Ritz procedure for generalized eigenvalue problems. (English) Zbl 1444.65012 J. Sci. Comput. 81, No. 1, 252-270 (2019). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65F22 15A18 58C40 PDFBibTeX XMLCite \textit{G. Yin}, J. Sci. Comput. 81, No. 1, 252--270 (2019; Zbl 1444.65012) Full Text: DOI
Niezgoda, Marek Generalized convex functions on normal decomposition systems. (English) Zbl 1420.26009 Aequationes Math. 93, No. 4, 791-811 (2019). MSC: 26B25 26D10 15A18 15A45 PDFBibTeX XMLCite \textit{M. Niezgoda}, Aequationes Math. 93, No. 4, 791--811 (2019; Zbl 1420.26009) Full Text: DOI
Holodnak, John T.; Ipsen, Ilse C. F.; Smith, Ralph C. A probabilistic subspace bound with application to active subspaces. (English) Zbl 1448.60111 SIAM J. Matrix Anal. Appl. 39, No. 3, 1208-1220 (2018). MSC: 60G60 65C30 65F15 65D05 15A18 15A23 15A60 PDFBibTeX XMLCite \textit{J. T. Holodnak} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1208--1220 (2018; Zbl 1448.60111) Full Text: DOI arXiv
Abu-Omar, Amer Spectral radius inequalities for sums of operators with an application to the problem of bounding the zeros of polynomials. (English) Zbl 06866604 Linear Algebra Appl. 550, 28-36 (2018). MSC: 47A12 47A30 47A63 26C10 15A60 30C15 PDFBibTeX XMLCite \textit{A. Abu-Omar}, Linear Algebra Appl. 550, 28--36 (2018; Zbl 06866604) Full Text: DOI
Putinar, Mihai Finite section method in a space with two norms. (English) Zbl 1380.15017 Integral Equations Oper. Theory 89, No. 3, 345-376 (2017). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 31A10 47A10 47A12 65E05 45D05 45E10 PDFBibTeX XMLCite \textit{M. Putinar}, Integral Equations Oper. Theory 89, No. 3, 345--376 (2017; Zbl 1380.15017) Full Text: DOI Link
Hackbusch, Wolfgang Survey on the technique of hierarchical matrices. (English) Zbl 1336.65028 Vietnam J. Math. 44, No. 1, 71-101 (2016). MSC: 65F05 65F60 65F30 15A24 65F50 45B05 65N38 65R20 PDFBibTeX XMLCite \textit{W. Hackbusch}, Vietnam J. Math. 44, No. 1, 71--101 (2016; Zbl 1336.65028) Full Text: DOI
Rövid, András; Szeidl, László; Várlaki, Péter Integral operators in relation to the HOSVD-based canonical form. (English) Zbl 1332.93072 Asian J. Control 17, No. 2, 459-466 (2015). MSC: 93B10 93A30 93C15 93C05 15A18 PDFBibTeX XMLCite \textit{A. Rövid} et al., Asian J. Control 17, No. 2, 459--466 (2015; Zbl 1332.93072) Full Text: DOI
Hackbusch, Wolfgang Hierarchical matrices: algorithms and analysis. (English) Zbl 1336.65041 Springer Series in Computational Mathematics 49. Berlin: Springer (ISBN 978-3-662-47323-8/hbk; 978-3-662-47324-5/ebook). xxv, 511 p. (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65F05 65F08 65F30 65N30 65N20 65-02 45P05 65R20 65F15 15A24 15A69 65F60 PDFBibTeX XMLCite \textit{W. Hackbusch}, Hierarchical matrices: algorithms and analysis. Berlin: Springer (2015; Zbl 1336.65041) Full Text: DOI
Niezgoda, Marek A review of selected topics in majorization theory. (English) Zbl 1285.26041 Brzdȩk, Janusz (ed.) et al., Recent developments in functional equations and inequalities. Selected topics. Based on the 14th international conference on functional equations and inequalities (ICFEI) dedicated to the memory of Marek Kuczma, Bȩdlewo, Poland, September 11–17, 2011. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-18-8/pbk). Banach Center Publications 99, 123-154 (2013). MSC: 26D15 26D10 26A51 39B62 15A42 15A30 PDFBibTeX XMLCite \textit{M. Niezgoda}, Banach Cent. Publ. 99, 123--154 (2013; Zbl 1285.26041) Full Text: DOI
Belinschi, Serban; Collins, Benoît; Nechita, Ion Eigenvectors and eigenvalues in a random subspace of a tensor product. (English) Zbl 1276.15007 Invent. Math. 190, No. 3, 647-697 (2012). Reviewer: Tin Yau Tam (Auburn) MSC: 15A18 15A69 15B52 52A22 46L54 PDFBibTeX XMLCite \textit{S. Belinschi} et al., Invent. Math. 190, No. 3, 647--697 (2012; Zbl 1276.15007) Full Text: DOI arXiv
Kressner, Daniel; Tobler, Christine Low-rank tensor Krylov subspace methods for parametrized linear systems. (English) Zbl 1237.65034 SIAM J. Matrix Anal. Appl. 32, No. 4, 1288-1316 (2011). MSC: 65F10 15A69 65F08 35J25 65N30 60H15 35R60 60H35 65C30 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{C. Tobler}, SIAM J. Matrix Anal. Appl. 32, No. 4, 1288--1316 (2011; Zbl 1237.65034) Full Text: DOI Link
van Vleck, Erik S. On the error in the product QR decomposition. (English) Zbl 1206.65147 SIAM J. Matrix Anal. Appl. 31, No. 4, 1775-1791 (2010). Reviewer: R. Militaru (Craiova) MSC: 65F30 65F05 15A23 PDFBibTeX XMLCite \textit{E. S. van Vleck}, SIAM J. Matrix Anal. Appl. 31, No. 4, 1775--1791 (2010; Zbl 1206.65147) Full Text: DOI Link
Serre, Denis Matrices. Theory and applications. Transl. from the French. 2nd ed. (English) Zbl 1206.15001 Graduate Texts in Mathematics 216. New York, NY: Springer (ISBN 978-1-4419-7682-6/hbk; 978-1-4419-7683-3/ebook). xiv, 289 p. (2010). Reviewer: John D. Dixon (Ottawa) MSC: 15-01 15A60 15A42 15B48 65F15 65F10 20G20 15A23 15A04 PDFBibTeX XMLCite \textit{D. Serre}, Matrices. Theory and applications. Transl. from the French. 2nd ed. New York, NY: Springer (2010; Zbl 1206.15001) Full Text: DOI
Khoromskij, Boris N. Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension. (English) Zbl 1197.65216 J. Comput. Appl. Math. 234, No. 11, 3122-3139 (2010). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 65R10 65F30 65F50 65F10 44A35 44A30 65T50 15A69 65Y20 PDFBibTeX XMLCite \textit{B. N. Khoromskij}, J. Comput. Appl. Math. 234, No. 11, 3122--3139 (2010; Zbl 1197.65216) Full Text: DOI
Khoromskij, B. N.; Khoromskaia, V. Multigrid accelerated tensor approximation of function related multidimensional arrays. (English) Zbl 1197.65215 SIAM J. Sci. Comput. 31, No. 4, 3002-3026 (2009). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 65R10 65F30 65F50 65F10 15A69 44A35 44A30 65Y20 PDFBibTeX XMLCite \textit{B. N. Khoromskij} and \textit{V. Khoromskaia}, SIAM J. Sci. Comput. 31, No. 4, 3002--3026 (2009; Zbl 1197.65215) Full Text: DOI
Hackbusch, Wolfgang Hierarchical matrices. Algorithms and analysis. (Hierarchische Matrizen. Algorithmen und Analysis.) (German) Zbl 1180.65004 Berlin: Springer (ISBN 978-3-642-00221-2/hbk; 978-3-642-00222-9/ebook). xx, 451 p. (2009). Reviewer: Lubomír Bakule (Praha) MSC: 65-02 15-02 65F50 65N22 65N30 65R20 65Y20 15A06 15A24 15A69 65N55 35J25 65F20 65F30 65F05 PDFBibTeX XMLCite \textit{W. Hackbusch}, Hierarchische Matrizen. Algorithmen und Analysis. Berlin: Springer (2009; Zbl 1180.65004) Full Text: DOI
Sadun, Lorenzo Applied linear algebra. The decoupling principle. 2nd ed. (English) Zbl 1140.15001 Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4441-0/hbk). xviii, 371 p. (2008). Reviewer: Adhemar Bultheel (Leuven) MSC: 15-01 15A18 65F15 35P05 47A75 47B40 34B27 46F10 26A42 35K90 35B35 60J10 60G50 15A63 15B57 PDFBibTeX XMLCite \textit{L. Sadun}, Applied linear algebra. The decoupling principle. 2nd ed. Providence, RI: American Mathematical Society (AMS) (2008; Zbl 1140.15001)
Cheng, H.; Gimbutas, Z.; Martinsson, P. G.; Rokhlin, V. On the compression of low rank matrices. (English) Zbl 1083.65042 SIAM J. Sci. Comput. 26, No. 4, 1389-1404 (2005). Reviewer: Ursula van Rienen (Rostock) MSC: 65F30 15A23 65R20 35J05 65N38 45E10 PDFBibTeX XMLCite \textit{H. Cheng} et al., SIAM J. Sci. Comput. 26, No. 4, 1389--1404 (2005; Zbl 1083.65042) Full Text: DOI Link
Passi, Inder Bir S.; Roggenkamp, Klaus W.; Soriano, Marcos Integral Jordan decomposition of matrices. (English) Zbl 1016.15008 Linear Algebra Appl. 355, No. 1-3, 241-261 (2002). Reviewer: Václav Burjan (Praha) MSC: 15A23 15B33 14F25 PDFBibTeX XMLCite \textit{I. B. S. Passi} et al., Linear Algebra Appl. 355, No. 1--3, 241--261 (2002; Zbl 1016.15008) Full Text: DOI
Neretin, Yurii A. Matrix balls, radial analysis of Berezin kernels, and hypergeometric determinants. (English) Zbl 0991.43005 Mosc. Math. J. 1, No. 2, 157-220 (2001). Reviewer: Genkai Zhang (Gothenburg) MSC: 43A85 22E46 22E45 53C35 32A25 43A90 33C05 33E20 15A15 PDFBibTeX XMLCite \textit{Y. A. Neretin}, Mosc. Math. J. 1, No. 2, 157--220 (2001; Zbl 0991.43005) Full Text: arXiv
Hansen, Per Christian Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. (English) Zbl 0890.65037 SIAM Monographs on Mathematical Modeling and Computation, 4. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 247 p. (1997). Reviewer: C.W.Groetsch (Cincinnati) MSC: 65F20 65J20 47A50 15A09 65R30 45B05 65-02 PDFBibTeX XMLCite \textit{P. C. Hansen}, Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. Philadelphia, PA: SIAM (1997; Zbl 0890.65037) Full Text: DOI
van den Driessche, Pauline; Wimmer, Harald K. Explicit polar decomposition of companion matrices. (English) Zbl 0895.15004 Electron. J. Linear Algebra 1, 64-69 (1996). Reviewer: Huberta Lausch (Würzburg) MSC: 15A23 15A18 30C15 PDFBibTeX XMLCite \textit{P. van den Driessche} and \textit{H. K. Wimmer}, Electron. J. Linear Algebra 1, 64--69 (1996; Zbl 0895.15004) Full Text: DOI EuDML EMIS Link
Gohberg, Israel (ed.); Kaashoek, M. A. (ed.) [Ball, J. A.; Ran, A. C. M.; Bart, H.; Lerer, L.; Rodman, L.; Roozemond, L.] Constructive methods of Wiener-Hopf factorization. (English) Zbl 0612.47025 Operator Theory: Advances and Applications, Vol. 21. Basel-Boston- Stuttgart: Birkhäuser Verlag. XII, 409 p. DM 124.00 (1986). Reviewer: L.Rodman MSC: 47B35 47A68 47A56 45E10 15A54 PDFBibTeX XML
Ringel, Claus Michael Tame algebras and integral quadratic forms. (English) Zbl 0546.16013 Lecture Notes in Mathematics. 1099. Berlin etc.: Springer-Verlag. xiii, 376 p. DM 51.50 (1984). Reviewer: Andrzej Skowroński (Toruń) MSC: 16Gxx 16-02 16P10 16D70 16E20 15A63 11E04 PDFBibTeX XML Full Text: DOI
Williams, W. E. Recognition of some readily ”Wiener-Hopf” factorizable matrices. (English) Zbl 0536.15013 IMA J. Appl. Math. 32, 367-378 (1984). Reviewer: J.A.Ball MSC: 15A60 15A23 47A60 45E10 PDFBibTeX XMLCite \textit{W. E. Williams}, IMA J. Appl. Math. 32, 367--378 (1984; Zbl 0536.15013) Full Text: DOI
N-Nagy, F. L. Dynamic systems response simulation by framing residue and resolvent matrices. (English) Zbl 0523.93024 J. Franklin Inst. 315, 49-60 (1983). MSC: 93B17 44A45 30C15 30B50 65F35 93B40 15A12 PDFBibTeX XMLCite \textit{F. L. N-Nagy}, J. Franklin Inst. 315, 49--60 (1983; Zbl 0523.93024) Full Text: DOI
Barnett, C.; Streater, R. F.; Wilde, I. F. The Ito-Clifford integral. (English) Zbl 0492.46051 J. Funct. Anal. 48, 172-212 (1982). MSC: 46L60 46L51 46L53 46L54 15A60 82B10 46L35 PDFBibTeX XMLCite \textit{C. Barnett} et al., J. Funct. Anal. 48, 172--212 (1982; Zbl 0492.46051) Full Text: DOI
Favella, Luigi F. Mathematical foundations of ECG map reconstruction. (English) Zbl 0477.93051 Cybern. Syst. 11, 21-66 (1980). MSC: 93E03 92C50 42C05 60G60 15A09 45B05 65D30 PDFBibTeX XMLCite \textit{L. F. Favella}, Cybern. Syst. 11, 21--66 (1980; Zbl 0477.93051) Full Text: DOI