Mohammadi, Hesameddin; Samuelson, Samantha; Jovanović, Mihailo R. Transient growth of accelerated optimization algorithms. (English) Zbl 1546.90146 IEEE Trans. Autom. Control 68, No. 3, 1823-1830 (2023). MSC: 90C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bourgade, P.; Dubach, G. The distribution of overlaps between eigenvectors of Ginibre matrices. (English) Zbl 1451.60015 Probab. Theory Relat. Fields 177, No. 1-2, 397-464 (2020). MSC: 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Notay, Yvan Analysis of two-grid methods: the nonnormal case. (English) Zbl 1427.65037 Math. Comput. 89, No. 322, 807-827 (2020). MSC: 65F08 65F10 65F50 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
Zwaan, Ian N.; Hochstenbach, Michiel E. Krylov-Schur-type restarts for the two-sided Arnoldi method. (English) Zbl 1365.65100 SIAM J. Matrix Anal. Appl. 38, No. 2, 297-321 (2017). MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Pal, Avijit; Yakubovich, Dmitry V. Infinite-dimensional features of matrices and pseudospectra. (English) Zbl 1352.15014 J. Math. Anal. Appl. 447, No. 1, 109-127 (2017). MSC: 15A18 15A60 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nica, Bogdan The unreasonable slightness of \(E_2\) over imaginary quadratic rings. (English) Zbl 1223.20044 Am. Math. Mon. 118, No. 5, 455-462 (2011). Reviewer: L. N. Vaserstein (University Park) MSC: 20G30 20F05 11R11 × Cite Format Result Cite Review PDF Full Text: DOI
Greenbaum, Anne Upper and lower bounds on norms of functions of matrices. (English) Zbl 1155.15032 Linear Algebra Appl. 430, No. 1, 52-65 (2009). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A60 15A45 30D50 30E05 × Cite Format Result Cite Review PDF Full Text: DOI
Burke, James V.; Greenbaum, Anne Characterizations of the polynomial numerical hull of degree \(k\). (English) Zbl 1106.15018 Linear Algebra Appl. 419, No. 1, 37-47 (2006). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 47A12 47B35 × Cite Format Result Cite Review PDF Full Text: DOI
Trefethen, Lloyd N.; Embree, Mark Spectra and pseudospectra. The behavior of nonnormal matrices and operators. (English) Zbl 1085.15009 Princeton, NJ: Princeton University Press (ISBN 0-691-11946-5/hbk). xviii, 606 p. (2005). Reviewer: J. B. Butler jun. (Portland) MSC: 15A18 15-02 47A10 47A50 15-04 34L05 65M20 65F10 × Cite Format Result Cite Review PDF
Huhtanen, Marko Aspects of nonnormality for iterative methods. (English) Zbl 1066.65038 Linear Algebra Appl. 394, 119-144 (2005). Reviewer: Iulian Coroian (Baia Mare) MSC: 65F10 65F50 65F35 15B57 × Cite Format Result Cite Review PDF Full Text: DOI
Faber, Vance; Greenbaum, Anne; Marshall, Donald E. The polynomial numerical hulls of Jordan blocks and related matrices. (English) Zbl 1044.15019 Linear Algebra Appl. 374, 231-246 (2003). Reviewer: Grosio Stanilov (Sofia) MSC: 15A60 65F35 15A21 × Cite Format Result Cite Review PDF Full Text: DOI
Hochstenbach, Michiel E.; Sleijpen, Gerard L. G. Two-sided and alternating Jacobi-Davidson. (English) Zbl 1087.65035 Linear Algebra Appl. 358, No. 1-3, 145-172 (2003). MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Greenbaum, Anne Generalizations of the field of values useful in the study of polynomial functions of a matrix. (English) Zbl 1004.15027 Linear Algebra Appl. 347, No. 1-3, 233-249 (2002). Reviewer: Václav Burjan (Praha) MSC: 15A60 15A54 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Ikramov, Kh. D. Unitary equivalence as a consequence of similarity and Hermitian congruence. (English. Russian original) Zbl 1046.15011 Dokl. Math. 64, No. 1, 121-122 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 379, No. 6, 739-740 (2001). MSC: 15A21 × Cite Format Result Cite Review PDF
Schwetlick, H.; Lösche, R. A generalized Rayleigh quotient iteration for computing simple eigenvalues of nonnormal matrices. (English) Zbl 0949.65029 ZAMM, Z. Angew. Math. Mech. 80, No. 1, 9-25 (2000). Reviewer: Nelli Dimitrova (Sofia) MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Barth, Teri; Manteuffel, Thomas Multiple recursion conjugate gradient algorithms part I: Sufficient conditions. (English) Zbl 0995.65033 SIAM J. Matrix Anal. Appl. 21, No. 3, 768-796 (2000). MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Trefethen, Lloyd N. Spectra and pseudospectra. The behaviour of non-normal matrices and operators. (English) Zbl 0943.15003 Ainsworth, Mark (ed.) et al., The graduate student’s guide to numerical analysis ’98. Lecture notes from the 8th EPSRC summer school in numerical analysis. Leicester, GB, July 5-17, 1998. Berlin: Springer. Springer Ser. Comput. Math. 26, 217-250 (1999). Reviewer: L.Elsner (Bielefeld) MSC: 15A18 47A10 × Cite Format Result Cite Review PDF
Simoncini, V. Remarks on nonlinear spectral perturbation. (English) Zbl 0937.65043 BIT 39, No. 2, 350-365 (1999). Reviewer: A.L.Andrew (Bundoora) MSC: 65F15 15A42 × Cite Format Result Cite Review PDF Full Text: DOI
Simoncini, V.; Gallopoulos, E. Transfer functions and resolvent norm approximation of large matrices. (English) Zbl 0915.65029 ETNA, Electron. Trans. Numer. Anal. 7, 190-201 (1998). Reviewer: Costică Moroşanu (Iaşi) MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Viswanath, D.; Trefethen, L. N. Condition numbers of random triangular matrices. (English) Zbl 0939.15012 SIAM J. Matrix Anal. Appl. 19, No. 2, 564-581 (1998). Reviewer: S.Zlobec (Montreal) MSC: 15B52 15A12 65F05 60F15 65F35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Braconnier, Thierry; Chaitin-Chatelin, Françoise Roundoff induces a chaotic behavior for eigensolvers applied on highly nonnormal matrices. (English) Zbl 0911.65030 Bristeau, M.-O. (ed.) et al., Computational science for the 21st century. Dedicated to Prof. Roland Glowinski on the occasion of his 60th birthday. Symposium, Tours, France, May 5–7, 1997. Chichester: John Wiley & Sons. 43-52 (1997). MSC: 65F15 × Cite Format Result Cite Review PDF
Pasquini, Lionello; Pavani, Raffaella Calculating the eigenvalues of nonnormal tridiagonal matrices. (Italian. English summary) Zbl 0873.65036 Rend. Semin. Mat. Fis. Milano 65(1995), 109-138 (1997). MSC: 65F15 65F35 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, D. L.; Cai, D. Y. RQI dynamics for non-normal matrices with real eigenvalues. (English) Zbl 0873.65035 J. Comput. Math. 15, No. 2, 138-148 (1997). Reviewer: G.Jumarie (Montréal) MSC: 65F15 × Cite Format Result Cite Review PDF
Cullum, Jane Iterative methods for solving \(Ax=b\), GMRES/FOM versus QMR/BiCG. (English) Zbl 0873.65028 Adv. Comput. Math. 6, No. 1, 1-24 (1996). Reviewer: M.Jung (Chemnitz) MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Lee, Steven L. Best available bounds for departure from normality. (English) Zbl 0877.65024 SIAM J. Matrix Anal. Appl. 17, No. 4, 984-991 (1996). Reviewer: R.H.W.Hoppe (München) MSC: 65F35 15A12 15A60 × Cite Format Result Cite Review PDF Full Text: DOI
Greenbaum, Anne; Pták, Vlastimil; Strakoš, Zdeněk Any nonincreasing convergence curve is possible for GMRES. (English) Zbl 0857.65029 SIAM J. Matrix Anal. Appl. 17, No. 3, 465-469 (1996). Reviewer: Myron Sussman (Bethel Park) MSC: 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Steven L. A practical upper bound for departure from normality. (English) Zbl 0827.65051 SIAM J. Matrix Anal. Appl. 16, No. 2, 462-468 (1995). Reviewer: H.Hollatz (Magdeburg) MSC: 65F35 15A12 15A60 × Cite Format Result Cite Review PDF Full Text: DOI
Higham, Nicholas J.; Knight, Philip A. Matrix powers in finite precision arithmetic. (English) Zbl 0830.65022 SIAM J. Matrix Anal. Appl. 16, No. 2, 343-358 (1995). Reviewer: N.Köckler (Paderborn) MSC: 65F10 65G50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Carpraux, J. F.; Erhel, J.; Sadkane, M. Spectral portrait for non-Hermitian large sparse matrices. (English) Zbl 0813.65075 Computing 53, No. 3-4, 301-310 (1994). Reviewer: A.L.Andrew (Bundoora) MSC: 65F15 65F50 15A12 15A18 × Cite Format Result Cite Review PDF Full Text: DOI Link
Trefethen, L. N. Pseudospectra of matrices. (English) Zbl 0798.15005 Griffiths, D. F. (ed.) et al., Numerical analysis 1991. Proceedings of the 14th Dundee conference, June 25-28, 1991, Dundee, UK. Dundee: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 260, 234-266 (1992). Reviewer: L.Elsner (Bielefeld) MSC: 15A18 65F15 × Cite Format Result Cite Review PDF
Khatri, C. G.; Bhavsar, C. D. Asymptotic distributions of test statistics for matrices concerning elliptical distributions. (English) Zbl 0718.62035 Am. J. Math. Manage. Sci. 9, No. 1-2, 101-112 (1989). MSC: 62E20 62H15 62H10 × Cite Format Result Cite Review PDF Full Text: DOI
Paardekooper, M. H. C. A quadratically convergent parallel Jacobi process for diagonally dominant matrices with distinct eigenvalues. (English) Zbl 0679.65024 J. Comput. Appl. Math. 27, No. 1-2, 3-16 (1989). Reviewer: M.Kono MSC: 65F15 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Stock, James H. Asymptotic properties of least squares estimators of cointegrating vectors. (English) Zbl 0651.62105 Econometrica 55, 1035-1056 (1987). Reviewer: J.Tóth MSC: 62P20 62E20 62M10 91B84 65C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tu, Boxun Lower bounds for the characteristic squares of nonnormal matrices and their applications. (Chinese. English summary) Zbl 0633.15010 J. Fudan Univ., Nat. Sci. 26, 213-220 (1987). Reviewer: Li Shaokuan MSC: 15A42 15A60 × Cite Format Result Cite Review PDF
Gabriel, Richard Anziehende \(\Delta H\)-Matrizen, die nicht optimal sind. (Attracting \(\Delta H\)-matrices which are not optimal). (German) Zbl 0626.15011 Rev. Roum. Math. Pures Appl. 32, 215-224 (1987). Reviewer: F.Szidarovszky MSC: 15B57 15A45 41A35 × Cite Format Result Cite Review PDF
Beauchamp, J. J.; Robson, D. S. Transformation considerations in discriminant analysis. (English) Zbl 0622.62065 Commun. Stat., Simulation Comput. 15, 147-179 (1986). Reviewer: C.-P.Han MSC: 62H30 × Cite Format Result Cite Review PDF Full Text: DOI
Spilker, R. L.; Engelmann, B. E. Hybrid-stress isoparametric elements for moderately thick and thin multilayer plates. (English) Zbl 0576.73069 Comput. Methods Appl. Mech. Eng. 56, 339-361 (1986). MSC: 74S05 74K20 74E30 × Cite Format Result Cite Review PDF Full Text: DOI
Kahan, W.; Parlett, B. N.; Jiang, E. Residual bounds on approximate eigensystems of nonnormal matrices. (English) Zbl 0483.65024 SIAM J. Numer. Anal. 19, 470-484 (1982). MSC: 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Gabriel, Richard Optimale Delta H-Matrizen mit einem Bezug zur Graphentheorie. (German) Zbl 0524.15008 Rev. Roum. Math. Pures Appl. 26, 227-245 (1981). MSC: 15A21 15B57 × Cite Format Result Cite Review PDF
Muirhead, Robb J.; Waternaux, Christine M. Asymptotic distributions in canonical correlation analysis and other multivariate procedures for nonnormal populations. (English) Zbl 0448.62037 Biometrika 67, 31-43 (1980). MSC: 62H20 62E20 62H15 × Cite Format Result Cite Review PDF Full Text: DOI