Barbarino, Giovanni A systematic approach to reduced GLT. (English) Zbl 1495.15035 BIT 62, No. 3, 681-743 (2022). MSC: 15A60 15A18 15B05 47B06 65N06 65N30 15A69 PDFBibTeX XMLCite \textit{G. Barbarino}, BIT 62, No. 3, 681--743 (2022; Zbl 1495.15035) Full Text: DOI arXiv
Barbarino, Giovanni; Cicone, Antonio Conjectures on spectral properties of ALIF algorithm. (English) Zbl 1487.94036 Linear Algebra Appl. 647, 127-152 (2022). MSC: 94A12 68W40 15A18 47B06 15B05 PDFBibTeX XMLCite \textit{G. Barbarino} and \textit{A. Cicone}, Linear Algebra Appl. 647, 127--152 (2022; Zbl 1487.94036) Full Text: DOI arXiv
Möller, Manfred Completeness and minimality of eigenfunctions and associated functions of ordinary differential operators. (English) Zbl 1510.34187 de Snoo, H. S. V. (ed.) et al., Contributions to mathematics and statistics. Essays in honor of Seppo Hassi. Vaasa: University of Vaasa, School of Technology and Innovation. Acta Wasaensia 462, 141-151 (2021). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 34L10 34L05 34L15 34L20 47A70 47E05 PDFBibTeX XMLCite \textit{M. Möller}, Acta Wasaensia 462, 141--151 (2021; Zbl 1510.34187)
Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix sequences. (English) Zbl 1465.15036 Electron. J. Linear Algebra 37, 370-386 (2021). MSC: 15B05 15A18 47B06 65F15 PDFBibTeX XMLCite \textit{P. Ferrari} et al., Electron. J. Linear Algebra 37, 370--386 (2021; Zbl 1465.15036) Full Text: arXiv Link
Cicone, Antonio; Garoni, Carlo; Serra-Capizzano, Stefano Spectral and convergence analysis of the discrete ALIF method. (English) Zbl 1477.94025 Linear Algebra Appl. 580, 62-95 (2019). MSC: 94A12 68W40 15A18 47B06 15B05 PDFBibTeX XMLCite \textit{A. Cicone} et al., Linear Algebra Appl. 580, 62--95 (2019; Zbl 1477.94025) Full Text: DOI
Garoni, Carlo; Serra-Capizzano, Stefano Spectral distribution results beyond the algebra generated by variable-coefficient Toeplitz sequences: the GLT approach. (English) Zbl 1454.15021 J. Fourier Anal. Appl. 24, No. 2, 506-524 (2018). MSC: 15B05 47B35 47B06 15A18 15A60 PDFBibTeX XMLCite \textit{C. Garoni} and \textit{S. Serra-Capizzano}, J. Fourier Anal. Appl. 24, No. 2, 506--524 (2018; Zbl 1454.15021) Full Text: DOI
Böttcher, Albrecht; Garoni, Carlo; Serra-Capizzano, Stefano Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey. (English. Russian original) Zbl 1482.47049 Sb. Math. 208, No. 11, 1602-1627 (2017); translation from Mat. Sb. 208, No. 11, 29-55 (2017). MSC: 47B35 15B05 65F08 65F15 65L50 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Sb. Math. 208, No. 11, 1602--1627 (2017; Zbl 1482.47049); translation from Mat. Sb. 208, No. 11, 29--55 (2017) Full Text: DOI
Garoni, Carlo; Serra-Capizzano, Stefano The theory of generalized locally Toeplitz sequences: a review, an extension, and a few representative applications. (English) Zbl 1472.47022 Bini, Dario A. (ed.) et al., Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Basel: Birkhäuser/Springer. Oper. Theory: Adv. Appl. 259, 353-394 (2017). MSC: 47B35 47B06 15A18 15A60 65N06 65N30 PDFBibTeX XMLCite \textit{C. Garoni} and \textit{S. Serra-Capizzano}, Oper. Theory: Adv. Appl. 259, 353--394 (2017; Zbl 1472.47022) Full Text: DOI
Majumdar, Rajeshwari; Majumdar, Suman On the Conditional Distribution of a Multivariate Normal given a Transformation - the Linear Case. arXiv:1710.09285 Preprint, arXiv:1710.09285 [math.ST] (2017). MSC: 15A18 46B28 47A05 60E99 62B05 62E15 BibTeX Cite \textit{R. Majumdar} and \textit{S. Majumdar}, ``On the Conditional Distribution of a Multivariate Normal given a Transformation - the Linear Case'', Preprint, arXiv:1710.09285 [math.ST] (2017) Full Text: arXiv OA License
Bogoya, J. M.; Böttcher, A.; Maximenko, E. A. From convergence in distribution to uniform convergence. (English) Zbl 1419.60005 Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 695-710 (2016). MSC: 60B10 15A18 15B05 60B20 15B52 47B35 PDFBibTeX XMLCite \textit{J. M. Bogoya} et al., Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 695--710 (2016; Zbl 1419.60005) Full Text: DOI arXiv
Majumdar, Rajeshwari; Majumdar, Suman WITHDRAWN: On the regular conditional distribution of a multivariate Normal given a linear transformation. arXiv:1612.01210 Preprint, arXiv:1612.01210 [math.ST] (2016); retraction notice ibid. MSC: 15A18 46B28 47A05 60E99 62B05 62E15 BibTeX Cite \textit{R. Majumdar} and \textit{S. Majumdar}, ``WITHDRAWN: On the regular conditional distribution of a multivariate Normal given a linear transformation'', Preprint, arXiv:1612.01210 [math.ST] (2016); retraction notice ibid. Full Text: arXiv OA License
Garoni, Carlo; Serra-Capizzano, Stefano; Sesana, Debora Tools for determining the asymptotic spectral distribution of non-Hermitian perturbations of Hermitian matrix-sequences and applications. (English) Zbl 1337.47045 Integral Equations Oper. Theory 81, No. 2, 213-225 (2015). MSC: 47B36 15A60 15A18 65N30 PDFBibTeX XMLCite \textit{C. Garoni} et al., Integral Equations Oper. Theory 81, No. 2, 213--225 (2015; Zbl 1337.47045) Full Text: DOI
Molinari, Luca Guido Identities and exponential bounds for transfer matrices. (English) Zbl 1271.82010 J. Phys. A, Math. Theor. 46, No. 25, Article ID 254004, 15 p. (2013). MSC: 82B44 15A15 15A18 30D35 39A70 47B36 PDFBibTeX XMLCite \textit{L. G. Molinari}, J. Phys. A, Math. Theor. 46, No. 25, Article ID 254004, 15 p. (2013; Zbl 1271.82010) Full Text: DOI arXiv
Kurasov, Pavel; Simonov, Sergey Weyl-Titchmarsh-type formula for periodic Schrödinger operator with Wigner-von Neumann potential. (English) Zbl 1305.34149 Proc. R. Soc. Edinb., Sect. A, Math. 143, No. 2, 401-425 (2013). Reviewer: Rafael Tiedra de Aldecoa (Santiago) MSC: 34L40 47E05 34B20 34L20 34E10 PDFBibTeX XMLCite \textit{P. Kurasov} and \textit{S. Simonov}, Proc. R. Soc. Edinb., Sect. A, Math. 143, No. 2, 401--425 (2013; Zbl 1305.34149) Full Text: DOI arXiv
Champagnat, Nicolas; Diaconis, Persi; Miclo, Laurent On Dirichlet eigenvectors for neutral two-dimensional Markov chains. (English) Zbl 1259.60078 Electron. J. Probab. 17, Paper No. 63, 41 p. (2012). MSC: 60J10 60J27 15A18 39A14 47N30 92D25 PDFBibTeX XMLCite \textit{N. Champagnat} et al., Electron. J. Probab. 17, Paper No. 63, 41 p. (2012; Zbl 1259.60078) Full Text: DOI arXiv
Serra-Capizzano, Stefano; Sesana, Debora; Strouse, Elizabeth The eigenvalue distribution of products of Toeplitz matrices - clustering and attraction. (English) Zbl 1202.15014 Linear Algebra Appl. 432, No. 10, 2658-2678 (2010). Reviewer: Mihail Voicu (Iaşi) MSC: 15A18 15B05 15A12 47B36 47B65 PDFBibTeX XMLCite \textit{S. Serra-Capizzano} et al., Linear Algebra Appl. 432, No. 10, 2658--2678 (2010; Zbl 1202.15014) Full Text: DOI
Duits, Maurice; Kuijlaars, Arno B. J. An equilibrium problem for the limiting eigenvalue distribution of banded Toeplitz matrices. (English) Zbl 1185.15008 SIAM J. Matrix Anal. Appl. 30, No. 1, 173-196 (2008). MSC: 15A18 30E20 31A99 47B06 PDFBibTeX XMLCite \textit{M. Duits} and \textit{A. B. J. Kuijlaars}, SIAM J. Matrix Anal. Appl. 30, No. 1, 173--196 (2008; Zbl 1185.15008) Full Text: DOI arXiv
Davies, E. B.; Simon, B. Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle. (English) Zbl 1127.47037 J. Approximation Theory 141, No. 2, 189-213 (2006). Reviewer: Martín Argerami (Regina) MSC: 47B80 15B52 15A18 42C05 60G99 PDFBibTeX XMLCite \textit{E. B. Davies} and \textit{B. Simon}, J. Approx. Theory 141, No. 2, 189--213 (2006; Zbl 1127.47037) Full Text: DOI arXiv Link
Djakov, Plamen; Mityagin, Boris Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices. (English) Zbl 1118.47022 J. Approximation Theory 139, No. 1-2, 293-326 (2006). Reviewer: Zoran Kadelburg (Belgrade) (MR 2006m:47056) MSC: 47B36 15A15 15A18 34L20 47A10 47B39 47N50 PDFBibTeX XMLCite \textit{P. Djakov} and \textit{B. Mityagin}, J. Approx. Theory 139, No. 1--2, 293--326 (2006; Zbl 1118.47022) Full Text: DOI arXiv
Böttcher, A.; Grudsky, S. M. Asymptotic spectra of dense Toeplitz matrices are unstable. (English) Zbl 1038.65030 Numer. Algorithms 33, No. 1-4, 105-112 (2003). Reviewer: Amin Boumenir (Carrollton) MSC: 65F15 15A18 47B35 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. M. Grudsky}, Numer. Algorithms 33, No. 1--4, 105--112 (2003; Zbl 1038.65030) Full Text: DOI
Strauss, V. A. On an estimate of the eigenvalues for an infinite-dimensional matrix and its application to the problem of the completeness of an eigenvector system of a completely continuous operator. (English) Zbl 0902.15021 Linear Algebra Appl. 274, 61-76 (1998). Reviewer: J.Zemánek (Warszawa) MSC: 15A60 15A42 47B07 47B06 47B37 PDFBibTeX XMLCite \textit{V. A. Strauss}, Linear Algebra Appl. 274, 61--76 (1998; Zbl 0902.15021) Full Text: DOI
Geronimo, Jeffrey S.; Harrell, Evans M. II; Van Assche, Walter On the asymptotic distribution of eigenvalues of banded matrices. (English) Zbl 0646.15004 Constructive Approximation 4, No. 4, 403-417 (1988). Reviewer: E.Kreyszig MSC: 15A18 47A70 35P20 PDFBibTeX XMLCite \textit{J. S. Geronimo} et al., Constr. Approx. 4, No. 4, 403--417 (1988; Zbl 0646.15004) Full Text: DOI
Girko, V. L. Distribution of eigenvalues and eigenvectors of orthogonal random matrices. (English. Russian original) Zbl 0589.60018 Ukr. Math. J. 37, 457-463 (1985); translation from Ukr. Mat. Zh. 37, No. 5, 568-575 (1985). Reviewer: Tran Van Nhung MSC: 60E99 60H25 47A10 15A18 15B51 15B52 PDFBibTeX XMLCite \textit{V. L. Girko}, Ukr. Math. J. 37, 457--463 (1985; Zbl 0589.60018); translation from Ukr. Mat. Zh. 37, No. 5, 568--575 (1985) Full Text: DOI
Karadzhov, G. E. Asymptotics of the spectrum of Toeplitz matrices generated by Hermitian polynomials. (Russian) Zbl 0529.47015 C. R. Acad. Bulg. Sci. 36, 27-29 (1983). MSC: 47B35 15A18 15A60 42C05 PDFBibTeX XMLCite \textit{G. E. Karadzhov}, C. R. Acad. Bulg. Sci. 36, 27--29 (1983; Zbl 0529.47015)