3 citations · 5 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Computing the Reciprocal of a -function by Rational Approximation
Paola Boito, Yuli Eidelman, Luca Gemignani
In this paper we introduce a family of rational approximations of the reciprocal of a -function involved in the explicit solutions of certain linear differential equations, as w…
Efficient Solution of Parameter Dependent Quasiseparable Systems and Computation of Meromorphic Matrix Functions
Paola Boito, Yuli Eidelman, Luca Gemignani
In this paper we focus on the solution of shifted quasiseparable systems and of more general parameter dependent matrix equations with quasiseparable representations. We propose an…
A Real QZ Algorithm for Structured Companion Pencils
Paola Boito, Yuli Eidelman, Luca Gemignani
We design a fast implicit real QZ algorithm for eigenvalue computation of structured companion pencils arising from linearizations of polynomial rootfinding problems. The modified…
Implicit QR for Companion-like Pencils
Paola Boito, Yuli Eidelman, Luca Gemignani
A fast implicit QR algorithm for eigenvalue computation of low rank corrections of unitary matrices is adjusted to work with matrix pencils arising from polynomial zerofinding prob…