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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…
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…
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 lar…
Computing the Action of the Generating Function of Bernoulli Polynomials on a Matrix with An Application to Non-local Boundary Value Problems
Lidia Aceto, Luca Gemignani
This paper deals with efficient numerical methods for computing the action of the generating function of Bernoulli polynomials, say , on a typically large sparse matrix. Th…
Efficient Inversion of Matrix -Functions of Low Order
L. Gemignani
The paper is concerned with efficient numerical methods for solving a linear system , where is a -function and . In particular in t…
Experimental Study of a Parallel Iterative Solver for Markov Chain Modeling
V. Besozzi, M. Della Bartola, L. Gemignani
This paper presents the results of a preliminary experimental investigation of the performance of a stationary iterative method based on a block staircase splitting for solving sin…