Bogoya, M.; Böttcher, A.; Grudsky, S. M. Asymptotic eigenvalue expansions for Toeplitz matrices with certain Fisher-Hartwig symbols. (English) Zbl 07798264 J. Math. Sci., New York 271, No. 2, Series A, 176-196 (2023). MSC: 47B35 15A18 15B05 65F15 82B20 PDFBibTeX XMLCite \textit{M. Bogoya} et al., J. Math. Sci., New York 271, No. 2, 176--196 (2023; Zbl 07798264) Full Text: DOI
Böttcher, Albrecht; Spitkovsky, Ilya M. Core invertibility of operators from the algebra generated by two orthogonal projections. (English) Zbl 07722765 Acta Sci. Math. 89, No. 1-2, 257-268 (2023). MSC: 47C15 15A09 47A05 47L15 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{I. M. Spitkovsky}, Acta Sci. Math. 89, No. 1--2, 257--268 (2023; Zbl 07722765) Full Text: DOI
Böttcher, Albrecht Entries of the inverses of large positive definite Toeplitz matrices. (English) Zbl 07614111 Acta Sci. Math. 88, No. 1-2, 85-99 (2022). MSC: 47B35 15B05 34B27 60G50 PDFBibTeX XMLCite \textit{A. Böttcher}, Acta Sci. Math. 88, No. 1--2, 85--99 (2022; Zbl 07614111) Full Text: DOI
Basor, Estelle (ed.); Böttcher, Albrecht (ed.); Ehrhardt, Torsten (ed.); Tracy, Craig A. (ed.) Toeplitz operators and random matrices. In memory of Harold Widom. (English) Zbl 1519.47002 Operator Theory: Advances and Applications 289. Cham: Birkhäuser (ISBN 978-3-031-13850-8/hbk; 978-3-031-13853-9/pbk; 978-3-031-13851-5/ebook). ix, 616 p. (2022). MSC: 47-06 60-06 15-06 47B35 15B48 60B20 00B15 00B30 PDFBibTeX XMLCite \textit{E. Basor} (ed.) et al., Toeplitz operators and random matrices. In memory of Harold Widom. Cham: Birkhäuser (2022; Zbl 1519.47002) Full Text: DOI
Basor, Estelle; Böttcher, Albrecht; Corwin, Ivan; Diaconis, Persi; Ehrhardt, Torsten; Kelley, Al; Simon, Barry; Tracy, Craig A.; Tromba, Tony Remembrances of Harold Widom. (English) Zbl 1493.01041 Notices Am. Math. Soc. 69, No. 4, 586-598 (2022). MSC: 01A70 15-03 47-03 60-03 82-03 PDFBibTeX XMLCite \textit{E. Basor} et al., Notices Am. Math. Soc. 69, No. 4, 586--598 (2022; Zbl 1493.01041) Full Text: DOI
Basor, Estelle; Böttcher, Albrecht; Ehrhardt, Torsten Harold Widom’s work in Toeplitz operators. (English) Zbl 07501948 Bull. Am. Math. Soc., New Ser. 59, No. 2, 175-190 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 47B35 01A60 15B05 45E10 PDFBibTeX XMLCite \textit{E. Basor} et al., Bull. Am. Math. Soc., New Ser. 59, No. 2, 175--190 (2022; Zbl 07501948) Full Text: DOI
Böttcher, Albrecht Groups of orthogonal matrices all orbits of which generate lattices. (English) Zbl 07393026 Bastos, M. Amélia (ed.) et al., Operator theory, functional analysis and applications. Proceedings of the 30th international workshop on operator theory and its applications, IWOTA 2019, Lisbon, Portugal, July 22–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 282, 95-111 (2021). MSC: 20H15 11H06 15B10 42C15 52C07 PDFBibTeX XMLCite \textit{A. Böttcher}, Oper. Theory: Adv. Appl. 282, 95--111 (2021; Zbl 07393026) Full Text: DOI
Böttcher, Albrecht; Gasca, Juanita; Grudsky, Sergei M.; Kozak, Anatoli V. Eigenvalue clusters of large tetradiagonal Toeplitz matrices. (English) Zbl 1477.47023 Integral Equations Oper. Theory 93, No. 1, Paper No. 8, 28 p. (2021). MSC: 47B35 15A18 15B05 65F15 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Integral Equations Oper. Theory 93, No. 1, Paper No. 8, 28 p. (2021; Zbl 1477.47023) Full Text: DOI
Polettini, Matteo; Böttcher, Albrecht Skew compressions of positive definite operators and matrices. (English) Zbl 1446.15006 Electron. J. Linear Algebra 36, 400-410 (2020). MSC: 15A18 05C31 15A15 15B57 47A75 PDFBibTeX XMLCite \textit{M. Polettini} and \textit{A. Böttcher}, Electron. J. Linear Algebra 36, 400--410 (2020; Zbl 1446.15006) Full Text: Link
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren Lattice theory and Toeplitz determinants. (English) Zbl 1461.11103 Duduchava, Roland (ed.) et al., Operator theory in different settings and related applications, 26th international workshop on operator theory and its applications, IWOTA, Tbilisi, Georgia, July 6–10, 2015. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 262, 117-138 (2018). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11H31 15A15 15B05 47B35 05B40 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Oper. Theory: Adv. Appl. 262, 117--138 (2018; Zbl 1461.11103) Full Text: DOI Link
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
Böttcher, Albrecht; Bogoya, Johan M.; Grudsky, Sergei M.; Maximenko, Egor A. Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices. (English. Russian original) Zbl 1388.15028 Sb. Math. 208, No. 11, 1578-1601 (2017); translation from Mat. Sb. 208, No. 11, 4-28 (2017). MSC: 15B05 15A18 47B35 15-02 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Sb. Math. 208, No. 11, 1578--1601 (2017; Zbl 1388.15028); translation from Mat. Sb. 208, No. 11, 4--28 (2017) Full Text: DOI
Böttcher, Albrecht The Duduchava-Roch formula. (English) Zbl 1381.47020 Maz’ya, Vladimir (ed.) et al., Recent trends in operator theory and partial differential equations. The Roland Duduchava anniversary volume. Basel: Birkhäuser/Springer (ISBN 978-3-319-47077-1/hbk; 978-3-319-47079-5/ebook). Operator Theory: Advances and Applications 258, 1-19 (2017). MSC: 47B35 15B05 PDFBibTeX XMLCite \textit{A. Böttcher}, Oper. Theory: Adv. Appl. 258, 1--19 (2017; Zbl 1381.47020) Full Text: DOI
Barrera, Mauricio; Boettcher, Albrecht; Grudsky, Sergei M.; Maximenko, Egor A. Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic. arXiv:1710.05243 Preprint, arXiv:1710.05243 [math.FA] (2017). MSC: 15B05 15A18 41A60 65F15 BibTeX Cite \textit{M. Barrera} et al., ``Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic'', Preprint, arXiv:1710.05243 [math.FA] (2017) Full Text: DOI arXiv OA License
Boettcher, Albrecht; Fukshansky, Lenny Lattices and quadratic forms from tight frames in Euclidean spaces. arXiv:1704.07735 Preprint, arXiv:1704.07735 [math.NT] (2017). MSC: 11H06 05B30 11H50 15A63 52C17 BibTeX Cite \textit{A. Boettcher} and \textit{L. Fukshansky}, ``Lattices and quadratic forms from tight frames in Euclidean spaces'', Preprint, arXiv:1704.07735 [math.NT] (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
Böttcher, Albrecht The part of my path I walked together with Sergei Grudsky. (English) Zbl 1349.01022 Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 309-327 (2016). MSC: 01A70 15-03 47-03 47B35 65F15 PDFBibTeX XMLCite \textit{A. Böttcher}, Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 309--327 (2016; Zbl 1349.01022) Full Text: DOI
Böttcher, Albrecht; Kittaneh, Fuad The limit of the zero set of polynomials of the Fibonacci type. (English) Zbl 1405.11012 J. Number Theory 163, 89-100 (2016). MSC: 11B39 15A18 15B05 30C15 47B35 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{F. Kittaneh}, J. Number Theory 163, 89--100 (2016; Zbl 1405.11012) Full Text: DOI
Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols. (English) Zbl 1331.47046 Linear Algebra Appl. 493, 606-637 (2016). MSC: 47B35 15A18 15B05 65F15 82B20 PDFBibTeX XMLCite \textit{J. M. Bogoya} et al., Linear Algebra Appl. 493, 606--637 (2016; Zbl 1331.47046) Full Text: DOI
Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. Maximum norm versions of the Szegő and Avram-Parter theorems for Toeplitz matrices. (English) Zbl 1320.15028 J. Approx. Theory 196, 79-100 (2015). MSC: 15B05 15A18 28A20 65F15 PDFBibTeX XMLCite \textit{J. M. Bogoya} et al., J. Approx. Theory 196, 79--100 (2015; Zbl 1320.15028) Full Text: DOI
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren On lattices generated by finite abelian groups. (English) Zbl 1328.11077 SIAM J. Discrete Math. 29, No. 1, 382-404 (2015). Reviewer: Nathan Kaplan (Irvine) MSC: 11H31 11G20 11H55 15A15 15B05 52C17 PDFBibTeX XMLCite \textit{A. Böttcher} et al., SIAM J. Discrete Math. 29, No. 1, 382--404 (2015; Zbl 1328.11077) Full Text: DOI arXiv
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren Toeplitz determinants with perturbations in the corners. (English) Zbl 1300.15010 J. Funct. Anal. 268, No. 1, 171-193 (2015). MSC: 15B05 15A15 15A60 47B35 PDFBibTeX XMLCite \textit{A. Böttcher} et al., J. Funct. Anal. 268, No. 1, 171--193 (2015; Zbl 1300.15010) Full Text: DOI arXiv
Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols. (English) Zbl 1302.65086 J. Math. Anal. Appl. 422, No. 2, 1308-1334 (2015). MSC: 65F15 15B05 15B57 PDFBibTeX XMLCite \textit{J. M. Bogoya} et al., J. Math. Anal. Appl. 422, No. 2, 1308--1334 (2015; Zbl 1302.65086) Full Text: DOI
Böttcher, Albrecht Best constants for Markov type inequalities in Hilbert space norms. (English) Zbl 1299.26044 Borichev, Alexander (ed.) et al., Recent trends in analysis. Proceedings of the conference in honor of Nikolai Nikolski on the occasion of his 70th birthday, Bordeaux, France, August 31 – September 2, 2011. Bucharest: The Theta Foundation (ISBN 978-606-8443-02-7). Theta Series in Advanced Mathematics 16, 73-83 (2013). MSC: 26D10 15A60 41A44 45D05 47A30 PDFBibTeX XMLCite \textit{A. Böttcher}, Theta Ser. Adv. Math. 16, 73--83 (2013; Zbl 1299.26044)
Böttcher, Albrecht An operator theoretic approach to the brickwork Ising model with second-neighbor interactions. (English) Zbl 1316.82009 Linear Algebra Appl. 439, No. 3, 675-685 (2013). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 82B20 15B05 15A15 47B35 47N50 82B26 82D40 PDFBibTeX XMLCite \textit{A. Böttcher}, Linear Algebra Appl. 439, No. 3, 675--685 (2013; Zbl 1316.82009) Full Text: DOI
Böttcher, Albrecht (ed.); Brualdi, Richard (ed.); Dym, Harry (ed.); Kaashoek, Rien (ed.); Ran, Andre (ed.) Preface. (English) Zbl 1298.00102 Linear Algebra Appl. 439, No. 3, 511-512 (2013). MSC: 00B15 01A70 15-03 47-03 PDFBibTeX XMLCite \textit{A. Böttcher} (ed.) et al., Linear Algebra Appl. 439, No. 3, 511--512 (2013; Zbl 1298.00102) Full Text: DOI
Böttcher, Albrecht; Halwass, Martin A Newton method for canonical Wiener-Hopf and spectral factorization of matrix polynomials. (English) Zbl 1303.47026 Electron. J. Linear Algebra 26, 873-897 (2013). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47A68 15A23 15B05 47B35 65H10 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{M. Halwass}, Electron. J. Linear Algebra 26, 873--897 (2013; Zbl 1303.47026)
Böttcher, Albrecht; Halwass, Martin Wiener-Hopf and spectral factorization of real polynomials by Newton’s method. (English) Zbl 1281.65075 Linear Algebra Appl. 438, No. 12, 4760-4805 (2013). MSC: 65H04 12D05 15B05 47A68 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{M. Halwass}, Linear Algebra Appl. 438, No. 12, 4760--4805 (2013; Zbl 1281.65075) Full Text: DOI
Bini, Dario A. (ed.); Böttcher, Albrecht (ed.); Gemignani, Luca (ed.); Pontecorvo, Largo Bruno (ed.); Hogben, Leslie (ed.); Tisseur, Françoise (ed.) Special issue: Selected papers based on the presentations at the 16th ILAS (International Linear Algebra Society) conference, Pisa, Italy, June 21–25, 2010. (English) Zbl 1320.15002 Linear Algebra Appl. 438, No. 4, 1495-1967 (2013). MSC: 15-06 15A21 15B33 15Bxx 00B25 PDFBibTeX XML
Böttcher, A.; Spitkovsky, I. M. Group inversion in certain finite-dimensional algebras generated by two idempotents. (English) Zbl 1262.15018 Indag. Math., New Ser. 23, No. 4, 715-732 (2012). Reviewer: Mart Abel (Tartu) MSC: 15A30 15A09 16S15 46H15 47L15 16P10 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{I. M. Spitkovsky}, Indag. Math., New Ser. 23, No. 4, 715--732 (2012; Zbl 1262.15018) Full Text: DOI
Bogoya, J. M.; Böttcher, A.; Grudsky, S. M. Asymptotics of individual eigenvalues of a class of large Hessenberg Toeplitz matrices. (English) Zbl 1390.15094 Ball, Joseph A. (ed.) et al., Recent progress in operator theory and its applications. Proceedings of the 20th international workshop on operator theory and applications (IWOTA), Guanajuato, Mexico, September 21–25, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0345-8/hbk; 978-3-0348-0346-5/ebook). Operator Theory: Advances and Applications 220, 77-95 (2012). MSC: 15B05 15A15 15A18 47N50 65F15 PDFBibTeX XMLCite \textit{J. M. Bogoya} et al., Oper. Theory: Adv. Appl. 220, 77--95 (2012; Zbl 1390.15094) Full Text: DOI
Bogoya, Johan M.; Böttcher, Albrecht; Grudsky, Sergei M. Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries. (English) Zbl 1258.15011 J. Spectr. Theory 2, No. 3, 267-292 (2012). Reviewer: Alan L. Andrew (Bundoora) MSC: 15B05 15A18 15B57 45C05 47N40 PDFBibTeX XMLCite \textit{J. M. Bogoya} et al., J. Spectr. Theory 2, No. 3, 267--292 (2012; Zbl 1258.15011) Full Text: DOI
Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. Eigenvectors of Hessenberg Toeplitz matrices and a problem by Dai, Geary, and Kadanoff. (English) Zbl 1260.15009 Linear Algebra Appl. 436, No. 9, 3480-3492 (2012). Reviewer: Marjeta Kramar Fijavž (Ljubljana) MSC: 15A18 15A15 42A16 65F15 15B05 PDFBibTeX XMLCite \textit{J. M. Bogoya} et al., Linear Algebra Appl. 436, No. 9, 3480--3492 (2012; Zbl 1260.15009) Full Text: DOI
Böttcher, Albrecht The algebraic Riccati equation with Toeplitz matrices as coefficients. (English) Zbl 1222.47138 Electron. J. Linear Algebra 22, 348-362 (2011). MSC: 47N70 15A24 15B05 46L89 47B35 93C15 PDFBibTeX XMLCite \textit{A. Böttcher}, Electron. J. Linear Algebra 22, 348--362 (2011; Zbl 1222.47138) Full Text: EuDML EMIS
Böttcher, A.; Spitkovsky, I. M. On certain finite-dimensional algebras generated by two idempotents. (English) Zbl 1235.15017 Linear Algebra Appl. 435, No. 8, 1823-1836 (2011). Reviewer: Marjeta Kramar Fijavž (Ljubljana) MSC: 15A30 15A09 16R50 46H15 47L55 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{I. M. Spitkovsky}, Linear Algebra Appl. 435, No. 8, 1823--1836 (2011; Zbl 1235.15017) Full Text: DOI
Böttcher, Albrecht; Dörfler, Peter On the best constants in Markov-type inequalities involving Gegenbauer norms with different weights. (English) Zbl 1222.41034 Oper. Matrices 5, No. 2, 261-272 (2011). Reviewer: Stamatis Koumandos (Nicosia) MSC: 41A44 15A18 26D10 45D05 47B35 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{P. Dörfler}, Oper. Matrices 5, No. 2, 261--272 (2011; Zbl 1222.41034) Full Text: DOI Link
Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. Eigenvalues of Hessenberg Toeplitz matrices generated by symbols with several singularities. (English) Zbl 1207.47026 Commun. Math. Anal. Conference 3, 23-41 (2011). MSC: 47B35 15A15 15A18 47N50 65F15 PDFBibTeX XMLCite \textit{J. M. Bogoya} et al., Commun. Math. Anal. Conference 3, 23--41 (2011; Zbl 1207.47026) Full Text: Euclid
Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. On the structure of the eigenvectors of large Hermitian Toeplitz band matrices. (English) Zbl 1267.47044 Duduchava, Roland (ed.) et al., Recent trends in Toeplitz and pseudodifferential operators. The Nikolai Vasilevskii anniversary volume. Basel: Birkhäuser (ISBN 978-3-0346-0547-2/hbk; 978-3-0346-0548-9/ebook). Operator Theory: Advances and Applications 210, 15-36 (2010). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B35 15A18 41A25 65F15 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Oper. Theory: Adv. Appl. 210, 15--36 (2010; Zbl 1267.47044) Full Text: DOI
Böttcher, Albrecht; Dörfler, Peter On the best constants in Markov-type inequalities involving Laguerre norms with different weights. (English) Zbl 1205.41024 Monatsh. Math. 161, No. 4, 357-367 (2010). Reviewer: George Stoica (Saint John) MSC: 41A44 15A18 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{P. Dörfler}, Monatsh. Math. 161, No. 4, 357--367 (2010; Zbl 1205.41024) Full Text: DOI
Böttcher, Albrecht; Grudsky, Sergei Variable-coefficient Toeplitz matrices with symbols beyond the Wiener algebra. (English) Zbl 1203.15019 Bini, Dario Andrea (ed.) et al., Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Basel: Birkhäuser (ISBN 978-3-7643-8995-6/hbk). Operator Theory: Advances and Applications 199, 191-202 (2010). MSC: 15B05 15A60 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. Grudsky}, Oper. Theory: Adv. Appl. 199, 191--202 (2010; Zbl 1203.15019)
Böttcher, Albrecht; Gohberg, Israel; Silbermann, Bernd Georg Heinig (1947-2005). In memoriam. (English) Zbl 1203.65002 Bini, Dario Andrea (ed.) et al., Numerical methods for structured matrices and applications. The Georg Heinig memorial volume. Basel: Birkhäuser (ISBN 978-3-7643-8995-6/hbk). Operator Theory: Advances and Applications 199, 3-6 (2010). MSC: 65-03 01A70 01A60 15-03 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Oper. Theory: Adv. Appl. 199, 3--6 (2010; Zbl 1203.65002)
Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. Inside the eigenvalues of certain Hermitian Toeplitz band matrices. (English) Zbl 1195.15009 J. Comput. Appl. Math. 233, No. 9, 2245-2264 (2010). Reviewer: Ludwig Elsner (Bielefeld) MSC: 15A18 65F15 15B05 15B57 PDFBibTeX XMLCite \textit{A. Böttcher} et al., J. Comput. Appl. Math. 233, No. 9, 2245--2264 (2010; Zbl 1195.15009) Full Text: DOI
Böttcher, A.; Spitkovsky, I. M. A gentle guide to the basics of two projections theory. (English) Zbl 1189.47073 Linear Algebra Appl. 432, No. 6, 1412-1459 (2010). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47L15 15A21 15A30 47C15 46L89 46H15 16S50 47-02 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{I. M. Spitkovsky}, Linear Algebra Appl. 432, No. 6, 1412--1459 (2010; Zbl 1189.47073) Full Text: DOI Link
Böttcher, Albrecht; Dörfler, Peter Weighted Markov-type inequalities, norms of Volterra operators, and zeros of Bessel functions. (English) Zbl 1186.41004 Math. Nachr. 283, No. 1, 40-57 (2010). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A10 15A18 26D10 41A44 45D05 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{P. Dörfler}, Math. Nachr. 283, No. 1, 40--57 (2010; Zbl 1186.41004) Full Text: DOI
Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. On the asymptotics of all eigenvalues of Hermitian Toeplitz band matrices. (English. Russian original) Zbl 1181.15010 Dokl. Math. 80, No. 2, 662-664 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 2, 153-156 (2009). MSC: 15A18 15B05 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Dokl. Math. 80, No. 2, 662--664 (2009; Zbl 1181.15010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 2, 153--156 (2009) Full Text: DOI
Böttcher, A.; Grudsky, S.; Maksimenko, E. A.; Unterberger, J. The first order asymptotics of the extreme eigenvectors of certain Hermitian Toeplitz matrices. (English) Zbl 1181.47023 Integral Equations Oper. Theory 63, No. 2, 165-180 (2009). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 47B35 15A18 41A80 46N30 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Integral Equations Oper. Theory 63, No. 2, 165--180 (2009; Zbl 1181.47023) Full Text: DOI
Böttcher, Albrecht; Grudsky, Sergei; Schwartz, Moshe Some problems concerning the test functions in the Szegő and Avram-Parter theorems. (English) Zbl 1168.47023 Ando, Tsuyoshi (ed.) et al., Recent advances in operator theory and applications. Proceedings of the international workshop on operator theory and applications (IWOTA), Seoul, Korea, July 31–August 3, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8892-8/hbk). Operator Theory: Advances and Applications 187, 81-93 (2009). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 47B35 15A15 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Oper. Theory: Adv. Appl. 187, 81--93 (2009; Zbl 1168.47023) Full Text: DOI Link
Böttcher, Albrecht; Dörfler, Peter On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line. (English) Zbl 1162.41004 Linear Algebra Appl. 430, No. 4, 1057-1069 (2009). Reviewer: Mehdi Hassani (Zanjan) MSC: 41A44 15A18 26D10 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{P. Dörfler}, Linear Algebra Appl. 430, No. 4, 1057--1069 (2009; Zbl 1162.41004) Full Text: DOI
Böttcher, Albrecht; Grudsky, Sergei; Unterberger, Jérémie Asymptotic pseudomodes of Toeplitz matrices. (English) Zbl 1172.47021 Oper. Matrices 2, No. 4, 525-541 (2008). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 47B35 15A18 41A80 46N30 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Oper. Matrices 2, No. 4, 525--541 (2008; Zbl 1172.47021) Full Text: DOI
Böttcher, Albrecht; Wenzel, David The Frobenius norm and the commutator. (English) Zbl 1173.15010 Linear Algebra Appl. 429, No. 8-9, 1864-1885 (2008). Reviewer: Janko Bračič (Ljubljana) MSC: 15A45 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{D. Wenzel}, Linear Algebra Appl. 429, No. 8--9, 1864--1885 (2008; Zbl 1173.15010) Full Text: DOI Backlinks: MO
Böttcher, Albrecht Orthogonal symmetric Toeplitz matrices. (English) Zbl 1157.47021 Complex Anal. Oper. Theory 2, No. 2, 285-298 (2008). Reviewer: Miyeon Kwon (Platteville, WI) MSC: 47B35 15B57 15A18 PDFBibTeX XMLCite \textit{A. Böttcher}, Complex Anal. Oper. Theory 2, No. 2, 285--298 (2008; Zbl 1157.47021) Full Text: DOI
Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. The Szegő and Avram-Parter theorems for general test functions. (English) Zbl 1145.15007 C. R., Math., Acad. Sci. Paris 346, No. 13-14, 749-752 (2008). MSC: 15A18 15B57 42A16 47B35 PDFBibTeX XMLCite \textit{A. Böttcher} et al., C. R., Math., Acad. Sci. Paris 346, No. 13--14, 749--752 (2008; Zbl 1145.15007) Full Text: DOI
Böttcher, Albrecht; Grudsky, Sergei Uniform boundedness of Toeplitz matrices with variable coefficients. (English) Zbl 1155.47029 Integral Equations Oper. Theory 60, No. 3, 313-328 (2008). Reviewer: Miyeon Kwon (Platteville, WI) MSC: 47B35 15A60 65F35 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. Grudsky}, Integral Equations Oper. Theory 60, No. 3, 313--328 (2008; Zbl 1155.47029) Full Text: DOI
Böttcher, Albrecht; Wenzel, David Rigorous stochastic bounds for the error in large covariance matrices. (English) Zbl 1153.15314 Math. Methods Appl. Sci. 31, No. 10, 1209-1220 (2008). MSC: 15B52 94C12 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{D. Wenzel}, Math. Methods Appl. Sci. 31, No. 10, 1209--1220 (2008; Zbl 1153.15314) Full Text: DOI
Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. Pushing the envelope of the test functions in the Szegö and Avram-Parter theorems. (English) Zbl 1153.15012 Linear Algebra Appl. 429, No. 1, 346-366 (2008). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 15A18 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Linear Algebra Appl. 429, No. 1, 346--366 (2008; Zbl 1153.15012) Full Text: DOI
Böttcher, Albrecht; Potts, Daniel Probability against condition number and sampling of multivariate trigonometric random polynomials. (English) Zbl 1171.65389 ETNA, Electron. Trans. Numer. Anal. 26, 178-189 (2007). MSC: 65F35 15A12 47B35 60H25 94A20 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{D. Potts}, ETNA, Electron. Trans. Numer. Anal. 26, 178--189 (2007; Zbl 1171.65389) Full Text: EuDML EMIS
Böttcher, Albrecht; Virtanen, Jani Norms of Toeplitz matrices with Fisher–Hartwig symbols. (English) Zbl 1145.47023 SIAM J. Matrix Anal. Appl. 29, No. 2, 660-671 (2007). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B35 15A60 62M10 62M20 65F35 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{J. Virtanen}, SIAM J. Matrix Anal. Appl. 29, No. 2, 660--671 (2007; Zbl 1145.47023) Full Text: DOI arXiv
Böttcher, A.; Karlovich, A.; Silbermann, B. Generalized Krein algebras and asymptotics of Toeplitz determinants. (English) Zbl 1144.47311 Methods Funct. Anal. Topol. 13, No. 3, 236-261 (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B35 15A15 46J15 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Methods Funct. Anal. Topol. 13, No. 3, 236--261 (2007; Zbl 1144.47311) Full Text: arXiv
Böttcher, Albrecht; Gutiérrez-Gutiérrez, Jesús; Crespo, Pedro M. Mass concentration in quasicommutators of Toeplitz matrices. (English) Zbl 1128.47063 J. Comput. Appl. Math. 205, No. 1, 129-148 (2007). Reviewer: Pengyan Hu (Shenzhen) MSC: 47L80 47B35 15A27 PDFBibTeX XMLCite \textit{A. Böttcher} et al., J. Comput. Appl. Math. 205, No. 1, 129--148 (2007; Zbl 1128.47063) Full Text: DOI
Boettcher, Albrecht; Potts, Daniel; Wenzel, David A probability argument in favor of ignoring small singular values. (English) Zbl 1120.65055 Oper. Matrices 1, No. 1, 31-43 (2007). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F35 15A12 60H25 65F22 PDFBibTeX XMLCite \textit{A. Boettcher} et al., Oper. Matrices 1, No. 1, 31--43 (2007; Zbl 1120.65055) Full Text: DOI
Gutiérrez-Gutiérrez, Jesús; Crespo, Pedro M.; Böttcher, Albrecht Functions of banded Hermitian block Toeplitz matrices in signal processing. (English) Zbl 1115.47059 Linear Algebra Appl. 422, No. 2-3, 788-807 (2007). Reviewer: Alexei Yu. Karlovich (Braga) MSC: 47N70 47B35 15A30 60G35 94A12 PDFBibTeX XMLCite \textit{J. Gutiérrez-Gutiérrez} et al., Linear Algebra Appl. 422, No. 2--3, 788--807 (2007; Zbl 1115.47059) Full Text: DOI
Böttcher, Albrecht Schatten norms of Toeplitz matrices with Fisher–Hartwig singularities. (English) Zbl 1140.47310 Electron. J. Linear Algebra 15, 251-259 (2006). MSC: 47B35 15A60 47A30 47B10 PDFBibTeX XMLCite \textit{A. Böttcher}, Electron. J. Linear Algebra 15, 251--259 (2006; Zbl 1140.47310) Full Text: EuDML Link
Böttcher, Albrecht; Wenzel, David On the verification of linear equations and the identification of the Toeplitz-plus-Hankel structure. (English) Zbl 1126.47027 Erusalimsky, Ya.M. (ed.) et al., Modern operator theory and applications. The Igor Borisovich Simonenko anniversary volume. Basel: Birkhäuser (ISBN 3-7643-7736-4/hbk). Operator Theory: Advances and Applications 170, 43-51 (2006). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47B35 15A24 65F35 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{D. Wenzel}, Oper. Theory: Adv. Appl. 170, 43--51 (2006; Zbl 1126.47027)
Böttcher, Albrecht; Widom, Harold Szegő via Jacobi. (English) Zbl 1116.47024 Linear Algebra Appl. 419, No. 2-3, 656-667 (2006). Reviewer: Pedro J. Paúl (Sevilla) MSC: 47B35 15A15 15B57 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{H. Widom}, Linear Algebra Appl. 419, No. 2--3, 656--667 (2006; Zbl 1116.47024) Full Text: DOI arXiv
Böttcher, Albrecht On the problem of testing the structure of a matrix by displacement operations. (English) Zbl 1117.65058 SIAM J. Numer. Anal. 44, No. 1, 41-54 (2006). Reviewer: Raffaella Pavani (Milano) MSC: 65F30 15A24 47B35 65F22 PDFBibTeX XMLCite \textit{A. Böttcher}, SIAM J. Numer. Anal. 44, No. 1, 41--54 (2006; Zbl 1117.65058) Full Text: DOI
Böttcher, A.; Grudsky, S.; Ramírez de Arellano, E. On the asymptotic behavior of the eigenvectors of large banded Toeplitz matrices. (English) Zbl 1101.47015 Math. Nachr. 279, No. 1-2, 121-129 (2006). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47B35 15A18 47N40 65F15 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Math. Nachr. 279, No. 1--2, 121--129 (2006; Zbl 1101.47015) Full Text: DOI
Böttcher, A.; Grudsky, S. M. Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers. (English) Zbl 1164.15309 Numer. Linear Algebra Appl. 12, No. 2-3, 95-102 (2005). MSC: 15A12 15B57 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. M. Grudsky}, Numer. Linear Algebra Appl. 12, No. 2--3, 95--102 (2005; Zbl 1164.15309) Full Text: DOI
Böttcher, Albrecht; Widom, Harold Two elementary derivations of the pure Fisher–Hartwig determinant. (English) Zbl 1081.47033 Integral Equations Oper. Theory 53, No. 4, 593-596 (2005). MSC: 47B35 15A15 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{H. Widom}, Integral Equations Oper. Theory 53, No. 4, 593--596 (2005; Zbl 1081.47033) Full Text: DOI arXiv
Böttcher, Albrecht; Otte, Peter The first Szegő limit theorem for non-selfadjoint operators in the Følner algebra. (English) Zbl 1094.47039 Math. Scand. 97, No. 1, 115-126 (2005). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47C15 46H35 47L80 47B35 47B15 15A15 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{P. Otte}, Math. Scand. 97, No. 1, 115--126 (2005; Zbl 1094.47039) Full Text: DOI
Böttcher, Albrecht; Grudsky, Sergei M. Spectral properties of banded Toeplitz matrices. (English) Zbl 1089.47001 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-599-7/pbk; 978-0-89871-785-3/ebook). x, 411 p. (2005). Reviewer: Alexei Yu. Karlovich (Braga) MSC: 47-02 15A09 15A18 15A60 47B35 47B80 47N20 47N30 47N40 65F15 65F35 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. M. Grudsky}, Spectral properties of banded Toeplitz matrices. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2005; Zbl 1089.47001) Full Text: DOI
Böttcher, Albrecht; Wenzel, David How big can the commutator of two matrices be and how big is it typically? (English) Zbl 1077.15020 Linear Algebra Appl. 403, 216-228 (2005). Reviewer: Peter Reichensperger (Oberasbach) MSC: 15B52 15A60 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{D. Wenzel}, Linear Algebra Appl. 403, 216--228 (2005; Zbl 1077.15020) Full Text: DOI Backlinks: MO
Böttcher, A.; Grudsky, S. M.; Ramírez de Arellano, E. Approximating inverses of Toeplitz matrices by circulant matrices. (English) Zbl 1097.47028 Methods Appl. Anal. 11, No. 2, 211-220 (2004). Reviewer: Woo Young Lee (Seoul) MSC: 47B35 15A60 65F10 47N70 94A12 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Methods Appl. Anal. 11, No. 2, 211--220 (2004; Zbl 1097.47028) Full Text: DOI
Böttcher, Albrecht; Rost, Karla Topics in the numerical linear algebra of Toeplitz and Hankel matrices. (English) Zbl 1093.47028 Mitt. Ges. Angew. Math. Mech. 27, No. 2, 174-188 (2004). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B35 15A09 65F05 65F15 47-02 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{K. Rost}, Mitt. Ges. Angew. Math. Mech. 27, No. 2, 174--188 (2004; Zbl 1093.47028) Full Text: DOI
Böttcher, Albrecht Transient behavior of powers and exponentials of large Toeplitz matrices. (English) Zbl 1085.47033 ETNA, Electron. Trans. Numer. Anal. 18, 1-41 (2004). Reviewer: Maria Amelia Bastos (Lisboa) MSC: 47B35 15A60 65F35 PDFBibTeX XMLCite \textit{A. Böttcher}, ETNA, Electron. Trans. Numer. Anal. 18, 1--41 (2004; Zbl 1085.47033) Full Text: EuDML EMIS
Böttcher, A. The constants in the asymptotic formulas by Rambour and Seghier for inverses of Toeplitz matrices. (English) Zbl 1070.47015 Integral Equations Oper. Theory 50, No. 1, 43-55 (2004). Reviewer: Nikolai K. Karapetyants (Rostov-na-Donu) MSC: 47B35 15A09 34B27 47N20 47N30 PDFBibTeX XMLCite \textit{A. Böttcher}, Integral Equations Oper. Theory 50, No. 1, 43--55 (2004; Zbl 1070.47015) Full Text: DOI
Böttcher, Albrecht; Grudsky, Sergei The norm of the product of a large matrix and a random vector. (English) Zbl 1065.15032 Electron. J. Probab. 8, Paper No. 7, 29 p. (2003). MSC: 15A60 15A12 60H30 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. Grudsky}, Electron. J. Probab. 8, Paper No. 7, 29 p. (2003; Zbl 1065.15032) Full Text: EuDML EMIS
Böttcher, A.; Grudsky, S. Fejér means and norms of large Toeplitz matrices. (English) Zbl 1049.47030 Acta Sci. Math. 69, No. 3-4, 889-900 (2003). Reviewer: Pedro J. Paúl (Sevilla) MSC: 47B35 15A12 42A05 60H25 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. Grudsky}, Acta Sci. Math. 69, No. 3--4, 889--900 (2003; Zbl 1049.47030)
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
Böttcher, A.; Embree, M.; Sokolov, V. I. On large Toeplitz band matrices with an uncertain block. (English) Zbl 1021.15008 Linear Algebra Appl. 366, 87-97 (2003). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 15A18 15A60 15B57 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Linear Algebra Appl. 366, 87--97 (2003; Zbl 1021.15008) Full Text: DOI
Böttcher, A.; Embree, M.; Sokolov, V. I. The spectra of large Toeplitz band matrices with a randomly perturbed entry. (English) Zbl 1022.47019 Math. Comput. 72, No. 243, 1329-1348 (2003). Reviewer: Nikolai K.Karapetyants (Rostov-na-Donu) MSC: 47B35 65F15 15A18 47B80 82B44 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Math. Comput. 72, No. 243, 1329--1348 (2003; Zbl 1022.47019) Full Text: DOI
Böttcher, A.; Grudsky, S.; Kozak, A. On the distance of a large Toeplitz band matrix to the nearest singular matrix. (English) Zbl 1020.15028 Böttcher, Albrecht (ed.) et al., Toeplitz matrices and singular integral equations. The Bernd Silbermann anniversary volume. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 135, 101-106 (2002). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 15A60 47B35 PDFBibTeX XMLCite \textit{A. Böttcher} et al., in: Toeplitz matrices and singular integral equations. The Bernd Silbermann anniversary volume. Basel: Birkhäuser. 101--106 (2002; Zbl 1020.15028)
Böttcher, Albrecht; Embree, Mark; Trefethen, Lloyd N. Piecewise continuous Toeplitz matrices and operators: Slow approach to infinity. (English) Zbl 1022.47018 SIAM J. Matrix Anal. Appl. 24, No. 2, 484-489 (2002). Reviewer: Nikolai K.Karapetyants (Rostov-na-Donu) MSC: 47B35 15A60 PDFBibTeX XMLCite \textit{A. Böttcher} et al., SIAM J. Matrix Anal. Appl. 24, No. 2, 484--489 (2002; Zbl 1022.47018) Full Text: DOI
Böttcher, A.; Grudsky, S. M. Can spectral value sets of Toeplitz band matrices jump? (English) Zbl 1005.47032 Linear Algebra Appl. 351-352, 99-116 (2002). Reviewer: Nikolai K.Karapetyants (Rostov-na-Donu) MSC: 47B35 15A18 30F10 93B03 93D09 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. M. Grudsky}, Linear Algebra Appl. 351--352, 99--116 (2002; Zbl 1005.47032) Full Text: DOI
Böttcher, A.; Embree, M.; Sokolov, V. I. Infinite Toeplitz and Laurent matrices with localized impurities. (English) Zbl 0995.15013 Linear Algebra Appl. 343-344, 101-118 (2002). Reviewer: Václav Burjan (Praha) MSC: 15A42 47B35 15B57 47A55 47B80 81Q15 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Linear Algebra Appl. 343--344, 101--118 (2002; Zbl 0995.15013) Full Text: DOI
Böttcher, Albrecht; Embree, Mark; Lindner, Marko Spectral approximation of banded Laurent matrices with localized random perturbations. (English) Zbl 0995.47021 Integral Equations Oper. Theory 42, No. 2, 142-165 (2002). Reviewer: Anatoliy Swishchuk (Toronto) MSC: 47B80 15A18 65F15 82B44 47B35 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Integral Equations Oper. Theory 42, No. 2, 142--165 (2002; Zbl 0995.47021) Full Text: DOI
Böttcher, A.; Grudsky, S. Condition numbers of large Toeplitz-like matrices. (English) Zbl 1001.47015 Olshevsky, Vadim (ed.), Structured matrices in mathematics, computer science, and engineering I. Proceedings of an AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, CO, USA, June 27-July 1, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 280, 273-299 (2001). Reviewer: Stefan G.Samko (Faro) MSC: 47B35 15A12 65F35 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. Grudsky}, Contemp. Math. 280, 273--299 (2001; Zbl 1001.47015)
Böttcher, A.; Chithra, A. V.; Namboodiri, M. N. N. Approximation of approximation numbers by truncation. (English) Zbl 1021.47009 Integral Equations Oper. Theory 39, No. 4, 387-395 (2001). Reviewer: Mihai Putinar (Santa Barbara) MSC: 47A58 15A18 47A75 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Integral Equations Oper. Theory 39, No. 4, 387--395 (2001; Zbl 1021.47009) Full Text: DOI
Böttcher, Albrecht \(C^*\)-algebras in numerical analysis. (English) Zbl 1061.46050 Ir. Math. Soc. Bull. 45, 57-133 (2000). MSC: 46N40 46L99 47B35 15B57 65J05 PDFBibTeX XMLCite \textit{A. Böttcher}, Ir. Math. Soc. Bull. 45, 57--133 (2000; Zbl 1061.46050)
Böttcher, A.; Grudsky, S. Eighteen old and new asymptotic results on Toeplitz band matrices. (English) Zbl 0965.15008 Griebel, Michael (ed.) et al., Large-scale scientific computations of engineering and environmental problems II. Proceedings of the 2nd workshop, Sozopol, Bulgaria, June 2-6, 1999. Braunschweig: Vieweg. Notes Numer. Fluid Mech. 73, 65-71 (2000). MSC: 15A18 15-02 15A15 65F35 15B57 15A60 15A12 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. Grudsky}, Notes Numer. Fluid Mech. 73, 65--71 (2000; Zbl 0965.15008)
Böttcher, Albrecht; Grudsky, S. M. Toeplitz matrices, asymptotic linear algebra and functional analysis. (English) Zbl 0952.47025 Texts and Readings in Mathematics 18. New Delhi: Hindustan Book Agency (ISBN 81-85931-24-0/pbk). x, 116 p. (2000). Reviewer: M.Engliš (Praha) MSC: 47B35 15A15 15B57 15-01 47-01 47A56 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. M. Grudsky}, Toeplitz matrices, asymptotic linear algebra and functional analysis. New Delhi: Hindustan Book Agency (2000; Zbl 0952.47025)
Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B. Norms of large Toeplitz band matrices. (English) Zbl 0945.15020 SIAM J. Matrix Anal. Appl. 21, No. 2, 547-561 (2000). Reviewer: Alexey Alimov (Moskva) MSC: 15A60 65F35 47B35 PDFBibTeX XMLCite \textit{A. Böttcher} et al., SIAM J. Matrix Anal. Appl. 21, No. 2, 547--561 (2000; Zbl 0945.15020) Full Text: DOI
Böttcher, A.; Grudsky, S. Toeplitz band matrices with exponentially growing condition numbers. (English) Zbl 0940.15005 Electron. J. Linear Algebra 5, 104-125 (1999). Reviewer: Vaclav Burjan (Praha) MSC: 15A12 65F35 15A60 15B57 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. Grudsky}, Electron. J. Linear Algebra 5, 104--125 (1999; Zbl 0940.15005) Full Text: EuDML EMIS
Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B. Convergence speed estimates for the norms of the inverses of large truncated Toeplitz matrices. (English) Zbl 0964.15027 Calcolo 36, No. 2, 103-122 (1999). Reviewer: S.Zlobec (Montreal) MSC: 15B57 15A60 15A09 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Calcolo 36, No. 2, 103--122 (1999; Zbl 0964.15027) Full Text: DOI
Böttcher, Albrecht; Silbermann, Bernd Introduction to large truncated Toeplitz matrices. (English) Zbl 0916.15012 Universitext. New York, NY: Springer. xi, 258 p. (1999). Reviewer: Vladimir S. Rabinovich MSC: 15B05 47B35 47-02 15-02 15A18 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{B. Silbermann}, Introduction to large truncated Toeplitz matrices. New York, NY: Springer (1999; Zbl 0916.15012)
Böttcher, Albrecht; Grudsky, Sergei M. On the condition numbers of large semi-definite Toeplitz matrices. (English) Zbl 0934.15005 Linear Algebra Appl. 279, No. 1-3, 285-301 (1998). Reviewer: P.Narain (Bombay) MSC: 15A12 15B57 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{S. M. Grudsky}, Linear Algebra Appl. 279, No. 1--3, 285--301 (1998; Zbl 0934.15005) Full Text: DOI
Böttcher, Albrecht; Wolf, Hartmut Spectral approximation for Segal-Bargmann space Toeplitz operators. (English) Zbl 0891.47015 Janas, Jan (ed.) et al., Linear operators. Proceedings of the semester organized at the Stefan Banach International Mathematical Center, Warsaw, Poland, February 7–May 15, 1994. Warsaw: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 38, 25-48 (1997). MSC: 47B35 47A53 15A60 30E10 32A37 45H05 47N40 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{H. Wolf}, Banach Cent. Publ. 38, 25--48 (1997; Zbl 0891.47015) Full Text: EuDML
Böttcher, A. On the approximation numbers of large Toeplitz matrices. (English) Zbl 0873.47014 Doc. Math. 2, 1-29 (1997). MSC: 47B35 47B06 15A60 47A75 47A58 47N50 65F35 15A09 15A18 47A53 PDFBibTeX XMLCite \textit{A. Böttcher}, Doc. Math. 2, 1--29 (1997; Zbl 0873.47014) Full Text: EuDML EMIS
Böttcher, Albrecht; Silbermann, Bernd Infinite Toeplitz and Hankel matrices with operator-valued entries. (English) Zbl 0849.47014 SIAM J. Math. Anal. 27, No. 3, 805-822 (1996). MSC: 47B35 15A06 47A56 65J10 65R20 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{B. Silbermann}, SIAM J. Math. Anal. 27, No. 3, 805--822 (1996; Zbl 0849.47014) Full Text: DOI
Böttcher, Albrecht; Heidler, Harald Characteristic polynomials of composition operators. (English) Zbl 0914.15006 Förg-Rob, W. (ed.) et al., Iteration theory. Proceedings of the European conference, ECIT ’92, Batschuns, Austria, September 13–19, 1992. Singapore: World Scientific. 279-280 (1996). MSC: 15A21 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{H. Heidler}, in: Iteration theory. Proceedings of the European conference, ECIT '92, Batschuns, Austria, September 13--19, 1992. Singapore: World Scientific. 279--280 (1996; Zbl 0914.15006)
Böttcher, A. Asymptotic formulas for rationally generated block Toeplitz determinants. (English) Zbl 0687.15005 Semin. Anal. 88, 1-13 (1988). Reviewer: B.Reichstein MSC: 15A15 15B57 15A54 15A23 PDFBibTeX XML