A new lower bound for the smallest singular value

DOI10.2298/FIL1909711DzbMath1499.15063OpenAlexW3007055400MaRDI QIDQ5863626

Ljiljana Cvetković, Ksenija Doroslovački, Ernest Šanca

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1909711d

zbMATH Keywords

inverse matrix\(H\)-matrixsmallest singular valueblock \(H\)-matrixnorm 1

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

• Unnamed Item
• A Gershgorin-type lower bound for the smallest singular value
• Bounds for norms of the matrix inverse and the smallest singular value
• Criteria for generalized diagonally dominant matrices and \(M\)-matrices
• A lower bound for the smallest singular value of a matrix
• Further lower bounds for the smallest singular value
• Euclidean norm estimates of the inverse of some special block matrices
• A new Geršgorin-type eigenvalue inclusion set
• Upper bounds for the infinity norm of the inverse of SDD and \(\mathcal S\)-SDD matrices
• Convergence Properties of the Spline Fit
• Pseudospectra localizations and their applications