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

DOI10.13001/1081-3810.3663zbMath1386.15023OpenAlexW2777135388MaRDI QIDQ4601000

Carlo Garoni, Giovanni Barbarino

Publication date: 18 January 2018

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/96924f666e8ce60dcdf3fde1c59d52075db399ac

zbMATH Keywords

convergence in measureconcave functionsgeneralized locally Toeplitz sequencesmatrix-sequencesPDE discretizationssingular value and eigenvalue asymptotics

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Convexity of real functions in one variable, generalizations (26A51) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (9)

Rectangular GLT sequences ⋮ A systematic approach to reduced GLT ⋮ An extension of the theory of GLT sequences: sampling on asymptotically uniform grids ⋮ Spectral Measures ⋮ Banach Spaces of GLT Sequences and Function Spaces ⋮ Isogeometric discretizations with generalized B-splines: symbol-based spectral analysis ⋮ Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case ⋮ Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case ⋮ Block GLT Sequences: Matrix Functions and Engineering Application

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