The smallest singular value of certain Toeplitz-related parametric triangular matrices

DOI10.1515/spma-2020-0127zbMath1479.15033OpenAlexW3131496469MaRDI QIDQ825559

Alexander Kovačec, Maryam Shams Solary, Stefano Serra Capizzano

Publication date: 17 December 2021

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2020-0127

zbMATH Keywords

singular valuetriangular matrixasymptotics of linear recurrencesinfinite-dimensional matrixToeplitz related matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05) Numerical aspects of recurrence relations (65Q30)

Cites Work

• Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices
• Asymptotics of the smallest singular value of a class of Toeplitz-generated matrices. II
• Lower bounds for the smallest singular value of certain Toeplitz-like triangular matrices with linearly increasing diagonal entries
• Generalized Locally Toeplitz Sequences: Theory and Applications
• Matrix Analysis

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