uniform upper bound – Optimization Online

Uniform bound on the 1-norm of the inverse of lower triangular Toeplitz matrices

Published: 2010/09/20, Updated: 2022/05/13

Other Topics 1-norm upper bound, abel's equation, abel's matrix, brunner's conjecture, infinity-norm upper bound, inverse of lower triangular toeplitz matrix, uniform upper bound, volterra integral equation

The uniform bound of 1-norm is given for the inverse of lower triangular Toeplitz matrices with nonnegative monotonic decreasing entries whose limit is zero. The new bound is the sharpest under the given constraints. This result is then employed to resolve a long standing open problem posed by Brunner concerning the convergence of the one-point … Read more