Bounds on the inverses of nonnegative triangular matrices with monotonicity properties

DOI10.1080/03081080601135237zbMath1122.15008OpenAlexW1966349539MaRDI QIDQ3439833

Ranjan K. Mallik, Antonia Vecchio

Publication date: 18 May 2007

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080601135237

zbMATH Keywords

inverse matrixToeplitz matricestriangular matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

An optimal bound for inverses of triangular matrices with monotone entries ⋮ Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices ⋮ Bounds for the 1-norm of the inverses of some triangular matrices

Cites Work

• A family of methods for Abel integral equations of the second kind
• Solutions of linear difference equations with variable coefficients
• On the Stability of Linear Multistep Methods for Volterra Convolution Equations
• A Bound for the Inverse of a Lower Triangular Toeplitz Matrix
• Boundedness of the global error of some linear and nonlinear methods for Volterra integral equations

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