Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with fractional Laplacian and variable coefficient wave number μ

Authors: Adriani, Andrea, Sormani, Rosita L, Tablino-Possio, Cristina, Krause, Rolf, Serra, Stefano

Source: Linear Algebra and its Applications. 708:551-584

Subject Terms: Fractional derivatives, Helmholtz equations, Singular value and eigenvalue asymptotics, Generalized locally Toeplitz sequences, Spectral symbol, Preconditioning, Clustering, Beräkningsvetenskap med inriktning mot numerisk analys, Scientific Computing with specialization in Numerical Analysis

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-546221
https://doi.org/10.1016/j.laa.2024.12.015

GLT sequences and automatic computation of the symbol

Authors: Sarathkumar, N.S. ^a, Serra-Capizzano, S. ^{b, c, ⁎}

Source: In Linear Algebra and Its Applications 15 September 2024 697:468-486

From convergence in measure to convergence of matrix-sequences through concave functions and singular values

Authors: Carlo Garoni, Giovanni Barbarino

Contributors: Barbarino, G, Garoni, C

Source: The Electronic Journal of Linear Algebra. 32:500-513

Subject Terms: Concave functions, Convergence in measure, Generalized locally Toeplitz sequences, Matrix-sequences, PDE discretizations, Singular value and eigenvalue asymptotics, Algebra and Number Theory, 0101 mathematics, Settore MAT/08 - ANALISI NUMERICA, 16. Peace & justice, 01 natural sciences

Access URL: https://art.torvergata.it/handle/2108/217432
https://journals.uwyo.edu/index.php/ela/article/download/1805/1805
https://journals.uwyo.edu/index.php/ela/article/view/1805
https://core.ac.uk/display/148753450
https://research.aalto.fi/en/publications/from-convergence-in-measure-to-convergence-of-matrix-sequences-th
https://hdl.handle.net/2108/217432
https://doi.org/10.13001/1081-3810.3663
http://www.math.technion.ac.il/iic/ela
https://hdl.handle.net/11384/79431
https://doi.org/10.13001/1081-3810.3663

Authors: Adriani, Andrea, Sormani, Rosita L, Tablino-Possio, Cristina, Krause, Rolf, Serra, Stefano

Index Terms: Fractional derivatives, Helmholtz equations, Singular value and eigenvalue asymptotics, Generalized locally Toeplitz sequences, Spectral symbol, Preconditioning, Clustering, Computational Mathematics, Beräkningsmatematik, Article in journal, info:eu-repo/semantics/article, text

URL: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-546221
Linear Algebra and its Applications, 0024-3795, 2025, 708, s. 551-584