Lampe, Jörg; Voss, Heinrich A survey on variational characterizations for nonlinear eigenvalue problems. (English) Zbl 07436835 ETNA, Electron. Trans. Numer. Anal. 55, 1-75 (2022). MSC: 65-XX 35P30 47A52 47A75 47J10 65F15 PDFBibTeX XMLCite \textit{J. Lampe} and \textit{H. Voss}, ETNA, Electron. Trans. Numer. Anal. 55, 1--75 (2022; Zbl 07436835) Full Text: DOI Link
Wang, Liping; Ma, Tengfei; Xia, Yong A linear-time algorithm for minimizing the ratio of quadratic functions with a quadratic constraint. (English) Zbl 1476.90322 Comput. Appl. Math. 40, No. 4, Paper No. 150, 15 p. (2021). MSC: 90C32 90C26 65F15 PDFBibTeX XMLCite \textit{L. Wang} et al., Comput. Appl. Math. 40, No. 4, Paper No. 150, 15 p. (2021; Zbl 1476.90322) Full Text: DOI
Hokanson, Jeffrey M.; Magruder, Caleb C. \( \mathcal{H}_2\)-optimal model reduction using projected nonlinear least squares. (English) Zbl 1461.93060 SIAM J. Sci. Comput. 42, No. 6, A4017-A4045 (2020). MSC: 93B11 41A20 93C05 93C15 PDFBibTeX XMLCite \textit{J. M. Hokanson} and \textit{C. C. Magruder}, SIAM J. Sci. Comput. 42, No. 6, A4017--A4045 (2020; Zbl 1461.93060) Full Text: DOI arXiv
Lee, Namgil; Cichocki, Andrzej Estimating a few extreme singular values and vectors for large-scale matrices in tensor train format. (English) Zbl 1319.65029 SIAM J. Matrix Anal. Appl. 36, No. 3, 994-1014 (2015). MSC: 65F20 15A18 65Y20 65F50 15B05 15B52 PDFBibTeX XMLCite \textit{N. Lee} and \textit{A. Cichocki}, SIAM J. Matrix Anal. Appl. 36, No. 3, 994--1014 (2015; Zbl 1319.65029) Full Text: DOI arXiv
Friedland, Shmuel; Mehrmann, Volker; Miedlar, Agnieszka; Nkengla, M. Fast low rank approximations of matrices and tensors. (English) Zbl 1254.65054 Electron. J. Linear Algebra 22, 1031-1048 (2011). MSC: 65F30 65F20 65Y20 PDFBibTeX XMLCite \textit{S. Friedland} et al., Electron. J. Linear Algebra 22, 1031--1048 (2011; Zbl 1254.65054) Full Text: DOI EMIS
Park, Sungwoo; O’Leary, Dianne P. Implicitly-weighted total least squares. (English) Zbl 1218.65039 Linear Algebra Appl. 435, No. 3, 560-577 (2011). MSC: 65F20 PDFBibTeX XMLCite \textit{S. Park} and \textit{D. P. O'Leary}, Linear Algebra Appl. 435, No. 3, 560--577 (2011; Zbl 1218.65039) Full Text: DOI
Lampe, Jörg; Voss, Heinrich Solving regularized total least squares problems based on eigenproblems. (English) Zbl 1198.65081 Taiwanese J. Math. 14, No. 3A, 885-909 (2010). MSC: 65F22 PDFBibTeX XMLCite \textit{J. Lampe} and \textit{H. Voss}, Taiwanese J. Math. 14, No. 3A, 885--909 (2010; Zbl 1198.65081) Full Text: DOI
Lampe, J.; Voss, H. Global convergence of RTLSQEP: A solver of regularized total least squares problems via quadratic eigenproblems. (English) Zbl 1151.65033 Math. Model. Anal. 13, No. 1, 55-66 (2008). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{J. Lampe} and \textit{H. Voss}, Math. Model. Anal. 13, No. 1, 55--66 (2008; Zbl 1151.65033) Full Text: DOI
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
Eldén, Lars Matrix methods in data mining and pattern recognition. (English) Zbl 1120.68092 Fundamentals of Algorithms 4. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-26-9). x, 224 p. (2007). Reviewer: Constantin Popa (Constanţa) MSC: 68T10 68T05 68-01 65F10 65F15 65F25 68U10 68U15 65Y15 PDFBibTeX XMLCite \textit{L. Eldén}, Matrix methods in data mining and pattern recognition. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2007; Zbl 1120.68092)
Bruns, T. E. Zero density lower bounds in topology optimization. (English) Zbl 1120.74711 Comput. Methods Appl. Mech. Eng. 196, No. 1-3, 566-578 (2006). MSC: 74P15 PDFBibTeX XMLCite \textit{T. E. Bruns}, Comput. Methods Appl. Mech. Eng. 196, No. 1--3, 566--578 (2006; Zbl 1120.74711) Full Text: DOI
Holz, U. B.; Golub, G. H.; Law, K. H. A subspace approximation method for the quadratic eigenvalue problem. (English) Zbl 1079.65039 SIAM J. Matrix Anal. Appl. 26, No. 2, 498-521 (2005). Reviewer: Daniel Kressner (Zagreb) MSC: 65F15 PDFBibTeX XMLCite \textit{U. B. Holz} et al., SIAM J. Matrix Anal. Appl. 26, No. 2, 498--521 (2005; Zbl 1079.65039) Full Text: DOI
Sima, Diana M.; Van Huffel, Sabine; Golub, Gene H. Regularized total least squares based on quadratic eigenvalue problem solvers. (English) Zbl 1079.65048 BIT 44, No. 4, 793-812 (2004). Reviewer: Jan Kozanek (Praha) MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{D. M. Sima} et al., BIT 44, No. 4, 793--812 (2004; Zbl 1079.65048) Full Text: DOI
Li, Ren-Cang; Ye, Qiang A Krylov subspace method for quadratic matrix polynomials with application to constrained least squares problems. (English) Zbl 1050.65038 SIAM J. Matrix Anal. Appl. 25, No. 2, 405-428 (2003). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{R.-C. Li} and \textit{Q. Ye}, SIAM J. Matrix Anal. Appl. 25, No. 2, 405--428 (2003; Zbl 1050.65038) Full Text: DOI
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. Numerical linear algebra for high-performance computers. (English) Zbl 0914.65014 Software - Environments - Tools. 7. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xviii, 342 p. (1998). Reviewer: W.Gander (Zürich) MSC: 65Fxx 65-01 65Y10 65Y05 65Y15 PDFBibTeX XMLCite \textit{J. J. Dongarra} et al., Numerical linear algebra for high-performance computers. Philadelphia, PA: SIAM (1998; Zbl 0914.65014) Full Text: DOI