3 papers
math.NA2026
Solving Shifted Systems for Quasiseparable Matrices
Luca Gemignani
In this paper we develop fast numerical algorithms for solving shifted linear systems with semidefinite quasiseparable matrices. A combination of Givens and hyperbolic plane rotati…
math.NA2026
A Jacobi-Type Eigensolver for Diagonally Dominant Symmetric Matrices
Luca Gemignani
This paper presents a Jacobi-type iteration for computing a given specified eigenpair of a symmetric matrix. For a certain class of diagonally dominant matrices, the procedure is s…
math.NA2025
Scaling-and-squaring method for computing the inverses of matrix -functions
Lidia Aceto, Luca Gemignani
This paper aims to develop efficient numerical methods for computing the inverse of matrix -functions, , for when is a…