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Found 122 Documents (Results 1–100)

Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with Caputo fractional Laplacian and variable coefficient wave number \(\mu\). arXiv:2402.10569

Preprint, arXiv:2402.10569 [math.NA] (2024).
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The numerical linear algebra of weights: from the spectral analysis to conditioning and preconditioning in the Laplacian case. arXiv:2311.01467

Preprint, arXiv:2311.01467 [math.NA] (2023).
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From asymptotic distribution and vague convergence to uniform convergence, with numerical applications. arXiv:2309.03662

Preprint, arXiv:2309.03662 [math.NA] (2023).
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A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs. arXiv:2201.10062

Preprint, arXiv:2201.10062 [math.NA] (2022).
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Eigenvalue superposition expansion for Toeplitz matrix-sequences, generated by linear combinations of matrix-order dependent symbols, and applications to fast eigenvalue computations. arXiv:2112.11794

Preprint, arXiv:2112.11794 [math.NA] (2021).
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Computation of asymptotic spectral distributions for sequences of grid operators. (English. Russian original) Zbl 1523.15009

Comput. Math. Math. Phys. 60, No. 11, 1761-1777 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1823-1841 (2020).
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Block generalized locally Toeplitz sequences: topological construction, spectral distribution results, and star-algebra structure. (English) Zbl 1445.15020

Bini, Dario Andrea (ed.) et al., Structured matrices in numerical linear algebra. Analysis, algorithms and applications. Selected papers of the INdAM meeting on structured matrices in numerical linear algebra: analysis, algorithms and applications, Cortona, Italy, September 4–8, 2017. Cham: Springer. Springer INdAM Ser. 30, 59-79 (2019).
MSC:  15B05 15A18
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Block locally Toeplitz sequences: construction and properties. (English) Zbl 1445.15004

Bini, Dario Andrea (ed.) et al., Structured matrices in numerical linear algebra. Analysis, algorithms and applications. Selected papers of the INdAM meeting on structured matrices in numerical linear algebra: analysis, algorithms and applications, Cortona, Italy, September 4–8, 2017. Cham: Springer. Springer INdAM Ser. 30, 25-58 (2019).
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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).
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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).
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Generalized locally Toeplitz sequences: theory and applications. Volume I. (English) Zbl 1376.15002

Cham: Springer (ISBN 978-3-319-53678-1/hbk; 978-3-319-53679-8/ebook). xi, 312 p. (2017).
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Canonical eigenvalue distribution of multilevel block Toeplitz sequences with non-Hermitian symbols. (English) Zbl 1261.15011

Arendt, Wolfgang (ed.) et al., Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12–16, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0296-3/hbk; 978-3-0348-0297-0/ebook). Operator Theory: Advances and Applications 221, 269-291 (2012).
MSC:  15A18 15B05 15A60
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From Toeplitz matrix sequences to zero distribution of orthogonal polynomials. (English) Zbl 1044.42024

Olshevsky, Vadim (ed.), Fast algorithms for structured matrices: Theory and applications. AMS-IMS-SIAM joint summer research conference on fast algorithms in mathematics, computer science and engineering, August 5–9, 2001, South Hadley, Massachusetts. Providence, RI: American Mathematical Society (AMS); Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-8218-3177-1/pbk; 0-89871-543-1/pbk). Contemp. Math. 323, 329-339 (2003).
MSC:  42C05 15A18
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More inequalities and asymptotics for matrix valued linear positive operators: The noncommutative case. (English) Zbl 1041.47017

Böttcher, Albrecht (ed.) et al., Toeplitz matrices and singular integral equations. The Bernd Silbermann anniversary volume. Basel: Birkhäuser (ISBN 3-7643-6877-2/hbk). Oper. Theory, Adv. Appl. 135, 293-315 (2002).
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Test functions, growth conditions and Toeplitz matrices. (English) Zbl 1025.15014

Proceedings of the fourth international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 22-28, 2000. Vol. II. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 68(2), 791-795 (2002).
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