3 papers
math.NA2025
Quasiseparable LU decay bounds for inverses of banded matrices
Paola Boito, Yuli Eidelman
We develop new, easily computable exponential decay bounds for inverses of banded matrices, based on the quasiseparable representation of Green matrices. The bounds rely on a diago…
math.NA2024
Numerical Solution of Nonclassical Boundary Value Problems
Paola Boito, Yuli Eidelman, Luca Gemignani
We provide a new approach to obtain solutions of certain evolution equations set in a Banach space and equipped with nonlocal boundary conditions. From this approach we derive a fa…
math.NA2023
Computation of quasiseparable representations of Green matrices
Paola Boito, Yuli Eidelman
The well-known Asplund theorem states that the inverse of a (possibly one-sided) band matrix is a Green matrix. In accordance with quasiseparable theory, such a matrix admits a…