L. Gemignani

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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 $φ$ -functions

Lidia Aceto, Luca Gemignani

This paper aims to develop efficient numerical methods for computing the inverse of matrix $φ$ -functions, $ψ_{ℓ} (A) := (φ_{ℓ} (A))^{- 1}$ , for $ℓ = 1, 2, \dots,$ when $A$ is a lar…

Solving Shifted Systems for Quasiseparable Matrices

A Jacobi-Type Eigensolver for Diagonally Dominant Symmetric Matrices

Scaling-and-squaring method for computing the inverses of matrix φ-functions

Scaling-and-squaring method for computing the inverses of matrix $φ$ -functions