B. Iannazzo

activity

20102026

most citedThe Padé iterations for the matrix sign function and their reciprocals are optimal

13 citations · 37 across the 13 of their papers we have counts for

collaborators

14 papers

math.NA2026

Component-wise accurate fixed point iterations for computing the square root of a singular M-matrix

Dario Andrea Bini, Bruno Iannazzo, Beatrice Meini +1

We analyze two fixed-point iterations for computing the principal square root of an M-matrix $A$ . Although these iterations, with customary initialization, converge sublinearly whe…

cs.MS2026

The mmatrix toolbox: componentwise accurate algorithms for M-matrices with triplet representation

Bruno Iannazzo, Mehdi Najafi Kalyani, Federico Poloni

We introduce the mmatrix toolbox, a Matlab software package for componentwise accurate computations with M-matrices described through left or right triplet representations. The cor…

math.NA2026

Component-wise accurate computation of the square root of an M-matrix

Dario A. Bini, Bruno Iannazzo, Beatrice Meini +1

Component-wise accurate algorithms for computing the principal square root of an M-matrix are designed in terms of triplet representations. A triplet representation of an M-matrix…

math.NA2025

Computing matrix functions associated with a Hermitian-definite pencil

Dario A. Bini, Massimiliano Fasi, Bruno Iannazzo

We consider the numerical evaluation of the quantity $A f (A^{- 1} B)$ , where $A$ is Hermitian positive definite, $B$ is Hermitian, and $f$ is a function defined on the spectrum of $A^…

math.NA2023

Invariant subspaces of $T$ -palindromic pencils and algebraic $T$ -Riccati equations

Bruno Iannazzo, Beatrice Meini, Federico Poloni

By exploiting the connection between solving algebraic $⊤$ -Riccati equations and computing certain deflating subspaces of $⊤$ -palindromic matrix pencils, we obtain theoretica…

math.NA2022★ 5 cited

Computing eigenvalues of semi-infinite quasi-Toeplitz matrices

D. A. Bini, B. Iannazzo, B. Meini +2

A quasi-Toeplitz (QT) matrix is a semi-infinite matrix of the form $A = T (a) + E$ where $T (a)$ is the Toeplitz matrix with entries $(T (a))_{i, j} = a_{j - i}$ , for $a_{j - i} \in C$ , $i…

math.NA2021

Palindromic linearization and numerical solution of nonsymmetric algebraic T-Riccati equations

Peter Benner, Bruno Iannazzo, Beatrice Meini +1

We identify a relationship between the solutions of a nonsymmetric algebraic T-Riccati equation (T-NARE) and the deflating subspaces of a palindromic matrix pencil, obtained by arr…

math.NA2021★ 1 cited

Geometric means of quasi-Toeplitz matrices

Dario A. Bini, Bruno Iannazzo, Jie Meng

We study means of geometric type of quasi-Toeplitz matrices, that are semi-infinite matrices $A = (a_{i, j})_{i, j = 1, 2, \dots}$ of the form $A = T (a) + E$ , where $E$ represents a compact o…

math.DG2021

Geometries on the cone of positive-definite matrices derived from the power potential and their relation to the power means

Nadia Chouaieb, Bruno Iannazzo, Maher Moakher

We study a Riemannian metric on the cone of symmetric positive-definite matrices obtained from the Hessian of the power potential function $(1 - det (X)^{β}) / β$ . We give explicit expre…

math.NA2017

Nonsingular systems of generalized Sylvester equations: an algorithmic approach

Fernando De Terán, Bruno Iannazzo, Federico Poloni +1

We consider the uniqueness of solution (i.e., nonsingularity) of systems of $r$ generalized Sylvester and $⋆$ -Sylvester equations with $n \times n$ coefficients. After several r…

math.RA2016★ 4 cited

Solvability and uniqueness criteria for generalized Sylvester-type equations

Fernando De Terán, Bruno Iannazzo, Federico Poloni +1

We provide necessary and sufficient conditions for the generalized $⋆$ -Sylvester matrix equation, $A X B + C X^{⋆} D = E$ , to have exactly one solution for any right-hand side E…

math.NA2011★ 6 cited

The geometric mean of two matrices from a computational viewpoint

Bruno Iannazzo

The geometric mean of two matrices is considered and analyzed from a computational viewpoint. Some useful theoretical properties are derived and an analysis of the conditioning is…

math.NA2010★ 13 cited

The Padé iterations for the matrix sign function and their reciprocals are optimal

Federico Greco, Bruno Iannazzo, Federico Poloni

It is proved that among the rational iterations locally converging with order s>1 to the sign function, the Padé iterations and their reciprocals are the unique rationals with the…

math.NA2010★ 8 cited

A Subspace Shift Technique for Nonsymmetric Algebraic Riccati Equations

Bruno Iannazzo, Federico Poloni

The worst situation in computing the minimal nonnegative solution of a nonsymmetric algebraic Riccati equation associated with an M-matrix occurs when the corresponding linearizing…