Park, Taejun; Nakatsukasa, Yuji A fast randomized algorithm for computing an approximate null space. (English) Zbl 1515.65085 BIT 63, No. 2, Paper No. 36, 27 p. (2023). MSC: 65F20 65F55 15A18 15A42 PDFBibTeX XMLCite \textit{T. Park} and \textit{Y. Nakatsukasa}, BIT 63, No. 2, Paper No. 36, 27 p. (2023; Zbl 1515.65085) Full Text: DOI arXiv
Hnětynková, Iveta; Plešinger, Martin; Žáková, Jana Krylov subspace approach to core problems within multilinear approximation problems: a unifying framework. (English) Zbl 1516.65031 SIAM J. Matrix Anal. Appl. 44, No. 1, 53-79 (2023). MSC: 65F20 65F25 15A06 15A18 15A23 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., SIAM J. Matrix Anal. Appl. 44, No. 1, 53--79 (2023; Zbl 1516.65031) Full Text: DOI
Samar, Mahvish; Lin, Fu-Rong Perturbation analysis and condition numbers for the Tikhonov regularization of total least squares problem and their statistical estimation. (English) Zbl 1486.65043 J. Comput. Appl. Math. 411, Article ID 114230, 19 p. (2022). MSC: 65F22 15A12 15A60 65F20 65F35 PDFBibTeX XMLCite \textit{M. Samar} and \textit{F.-R. Lin}, J. Comput. Appl. Math. 411, Article ID 114230, 19 p. (2022; Zbl 1486.65043) Full Text: DOI
Liu, Qiaohua; Jia, Zhigang; Wei, Yimin Multidimensional total least squares problem with linear equality constraints. (English) Zbl 1482.65062 SIAM J. Matrix Anal. Appl. 43, No. 1, 124-150 (2022). MSC: 65F20 15A60 65F35 PDFBibTeX XMLCite \textit{Q. Liu} et al., SIAM J. Matrix Anal. Appl. 43, No. 1, 124--150 (2022; Zbl 1482.65062) Full Text: DOI
Hallman, Eric Estimating the backward error for the least-squares problem with multiple right-hand sides. (English) Zbl 1453.65079 Linear Algebra Appl. 605, 227-238 (2020). MSC: 65F20 15A06 65F35 PDFBibTeX XMLCite \textit{E. Hallman}, Linear Algebra Appl. 605, 227--238 (2020; Zbl 1453.65079) Full Text: DOI
Hladík, Milan; Černý, Michal; Antoch, Jaromír EIV regression with bounded errors in data: total ‘least squares’ with Chebyshev norm. (English) Zbl 1437.62257 Stat. Pap. 61, No. 1, 279-301 (2020). MSC: 62J05 62-08 90C32 15A60 PDFBibTeX XMLCite \textit{M. Hladík} et al., Stat. Pap. 61, No. 1, 279--301 (2020; Zbl 1437.62257) Full Text: DOI
Hnětynková, Iveta; Plešinger, Martin; Žáková, Jana Solvability classes for core problems in matrix total least squares minimization. (English) Zbl 1524.15004 Appl. Math., Praha 64, No. 2, 103-128 (2019). MSC: 15A06 15A23 65F20 65K10 47A58 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., Appl. Math., Praha 64, No. 2, 103--128 (2019; Zbl 1524.15004) Full Text: DOI
Hnětynková, Iveta; Plešinger, Martin; Žáková, Jana On TLS formulation and core reduction for data fitting with generalized models. (English) Zbl 1420.65053 Linear Algebra Appl. 577, 1-20 (2019). MSC: 65F20 15A09 15A21 15A69 65F25 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., Linear Algebra Appl. 577, 1--20 (2019; Zbl 1420.65053) Full Text: DOI
Yang, Zhanshan; Liu, Xilan Backward perturbation analysis and relative algorithms for nonsymmetric linear systems with multiple right-hand sides. (English) Zbl 1513.65123 JP J. Algebra Number Theory Appl. 39, No. 6, 959-989 (2017). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{X. Liu}, JP J. Algebra Number Theory Appl. 39, No. 6, 959--989 (2017; Zbl 1513.65123) Full Text: DOI
Zhang, Songlin; Zhang, Kun; Han, Jie; Tong, Xiaohua Total least norm solution for linear structured EIV model. (English) Zbl 1411.65066 Appl. Math. Comput. 304, 58-64 (2017). MSC: 65F20 15A24 65K10 PDFBibTeX XMLCite \textit{S. Zhang} et al., Appl. Math. Comput. 304, 58--64 (2017; Zbl 1411.65066) Full Text: DOI
Pešta, Michal Unitarily invariant errors-in-variables estimation. (English) Zbl 1351.62072 Stat. Pap. 57, No. 4, 1041-1057 (2016). MSC: 62F10 62H12 15B51 62J99 PDFBibTeX XMLCite \textit{M. Pešta}, Stat. Pap. 57, No. 4, 1041--1057 (2016; Zbl 1351.62072) Full Text: DOI
Hnětynková, Iveta; Plešinger, Martin; Sima, Diana Maria Solvability of the core problem with multiple right-hand sides in the TLS sense. (English) Zbl 1343.15002 SIAM J. Matrix Anal. Appl. 37, No. 3, 861-876 (2016). MSC: 15A06 15A18 15A21 15A24 65F20 65F25 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., SIAM J. Matrix Anal. Appl. 37, No. 3, 861--876 (2016; Zbl 1343.15002) Full Text: DOI
Ito, Shinji; Murota, Kazuo An algorithm for the generalized eigenvalue problem for nonsquare matrix pencils by minimal perturbation approach. (English) Zbl 1376.65050 SIAM J. Matrix Anal. Appl. 37, No. 1, 409-419 (2016). MSC: 65F15 15A22 65F20 PDFBibTeX XMLCite \textit{S. Ito} and \textit{K. Murota}, SIAM J. Matrix Anal. Appl. 37, No. 1, 409--419 (2016; Zbl 1376.65050) Full Text: DOI
Jiang, Tongsong; Cheng, Xuehan; Ling, Sitao An algebraic technique for total least squares problem in quaternionic quantum theory. (English) Zbl 1330.81115 Appl. Math. Lett. 52, 58-63 (2016). MSC: 81R12 15A24 PDFBibTeX XMLCite \textit{T. Jiang} et al., Appl. Math. Lett. 52, 58--63 (2016; Zbl 1330.81115) Full Text: DOI
Hnětynková, Iveta; Plešinger, Martin; Strakoš, Zdeněk Band generalization of the Golub-Kahan bidiagonalization, generalized Jacobi matrices, and the core problem. (English) Zbl 1320.65057 SIAM J. Matrix Anal. Appl. 36, No. 2, 417-434 (2015). MSC: 65F20 15A21 15A06 15A18 15A24 65F25 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 417--434 (2015; Zbl 1320.65057) Full Text: DOI Link
Li, Hanyu; Wang, Shaoxin; Yang, Hu On mixed and componentwise condition numbers for indefinite least squares problem. (English) Zbl 1286.65051 Linear Algebra Appl. 448, 104-129 (2014). MSC: 65F20 65F35 15A12 15A09 PDFBibTeX XMLCite \textit{H. Li} et al., Linear Algebra Appl. 448, 104--129 (2014; Zbl 1286.65051) Full Text: DOI
Baboulin, Marc; Dongarra, Jack; Gratton, Serge; Langou, Julien Computing the conditioning of the components of a linear least-squares solution. (English) Zbl 1224.65104 Numer. Linear Algebra Appl. 16, No. 7, 517-533 (2009). MSC: 65F20 62J05 15A12 65J10 85A15 86A30 PDFBibTeX XMLCite \textit{M. Baboulin} et al., Numer. Linear Algebra Appl. 16, No. 7, 517--533 (2009; Zbl 1224.65104) Full Text: DOI arXiv Link
Wei, Musheng; Zhang, Jinbing On perturbations of some constrained subspaces. (English) Zbl 1166.65015 J. Comput. Appl. Math. 226, No. 1, 155-165 (2009). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F20 65F15 15A18 PDFBibTeX XMLCite \textit{M. Wei} and \textit{J. Zhang}, J. Comput. Appl. Math. 226, No. 1, 155--165 (2009; Zbl 1166.65015) Full Text: DOI
Chang, X.-W.; Paige, C. C.; Titley-Peloquin, D. Characterizing matrices that are consistent with given solutions. (English) Zbl 1176.15005 SIAM J. Matrix Anal. Appl. 30, No. 4, 1406-1420 (2008). MSC: 15A06 15A29 65F05 65F10 65F20 65F25 65G99 PDFBibTeX XMLCite \textit{X. W. Chang} et al., SIAM J. Matrix Anal. Appl. 30, No. 4, 1406--1420 (2008; Zbl 1176.15005) Full Text: DOI Link
Lampe, J.; Voss, H. On a quadratic eigenproblem occurring in regularized total least squares. (English) Zbl 1393.15013 Comput. Stat. Data Anal. 52, No. 2, 1090-1102 (2007). MSC: 15A18 65F15 65F20 65F22 PDFBibTeX XMLCite \textit{J. Lampe} and \textit{H. Voss}, Comput. Stat. Data Anal. 52, No. 2, 1090--1102 (2007; Zbl 1393.15013) Full Text: DOI
Schaffrin, Burkhard A note on constrained total least-squares estimation. (English) Zbl 1117.62061 Linear Algebra Appl. 417, No. 1, 245-258 (2006). MSC: 62H12 62J99 15A18 PDFBibTeX XMLCite \textit{B. Schaffrin}, Linear Algebra Appl. 417, No. 1, 245--258 (2006; Zbl 1117.62061) Full Text: DOI
Mastronardi, N.; Lemmerling, P.; Kalsi, A.; O’Leary, D. P.; Van Huffel, S. Implementation of the regularized structured total least squares algorithms for blind image deblurring. (English) Zbl 1060.94502 Linear Algebra Appl. 391, 203-221 (2004). MSC: 94A08 68U10 65F22 65F30 15A23 PDFBibTeX XMLCite \textit{N. Mastronardi} et al., Linear Algebra Appl. 391, 203--221 (2004; Zbl 1060.94502) Full Text: DOI
De Lathauwer, Lieven; Vandewalle, Joos Dimensionality reduction in higher-order signal processing and rank-\((R_1,R_2,\ldots,R_N)\) reduction in multilinear algebra. (English) Zbl 1066.94001 Linear Algebra Appl. 391, 31-55 (2004). Reviewer: Yuehua Wu (Toronto) MSC: 94A12 15A69 PDFBibTeX XMLCite \textit{L. De Lathauwer} and \textit{J. Vandewalle}, Linear Algebra Appl. 391, 31--55 (2004; Zbl 1066.94001) Full Text: DOI
Sayed, A. H.; Nascimento, V. H.; Cipparrone, F. A. M. A regularized robust design criterion for uncertain data. (English) Zbl 1058.15002 SIAM J. Matrix Anal. Appl. 23, No. 4, 1120-1142 (2002). MSC: 15A06 90C47 PDFBibTeX XMLCite \textit{A. H. Sayed} et al., SIAM J. Matrix Anal. Appl. 23, No. 4, 1120--1142 (2002; Zbl 1058.15002) Full Text: DOI
Lemmerling, Philippe; Van Huffel, Sabine Analysis of the structured total least squares problem for Hankel/Toeplitz matrices. (English) Zbl 0986.65040 Numer. Algorithms 27, No. 1, 89-114 (2001). Reviewer: E.Kreyszig (Ottawa) MSC: 65F20 15A03 65K10 PDFBibTeX XMLCite \textit{P. Lemmerling} and \textit{S. Van Huffel}, Numer. Algorithms 27, No. 1, 89--114 (2001; Zbl 0986.65040) Full Text: DOI
Bezerra, Licio H.; Bazán, Fermin S. V. Eigenvalue locations of generalized companion predictor matrices. (English) Zbl 0924.65026 SIAM J. Matrix Anal. Appl. 19, No. 4, 886-897 (1998). Reviewer: A.L.Andrew (Bundoora) MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{L. H. Bezerra} and \textit{F. S. V. Bazán}, SIAM J. Matrix Anal. Appl. 19, No. 4, 886--897 (1998; Zbl 0924.65026) Full Text: DOI
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
Peña, J. M. On the Schur and singular value decompositons of oscillatory matrices. (English) Zbl 0880.15011 Linear Algebra Appl. 261, 307-315 (1997). Reviewer: P.Narain (Bombay) MSC: 15A18 15A09 15A06 PDFBibTeX XMLCite \textit{J. M. Peña}, Linear Algebra Appl. 261, 307--315 (1997; Zbl 0880.15011) Full Text: DOI
Nievergelt, Yves Schmidt-Mirsky matrix approximation with linearly constrained singular values. (English) Zbl 0881.15029 Linear Algebra Appl. 261, 207-219 (1997). Reviewer: P.Narain (Bombay) MSC: 15A60 41A29 PDFBibTeX XMLCite \textit{Y. Nievergelt}, Linear Algebra Appl. 261, 207--219 (1997; Zbl 0881.15029) Full Text: DOI