1 citations · 1 across the 7 of their papers we have counts for
6 papers · 1 filter
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 . Although these iterations, with customary initialization, converge sublinearly whe…
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…
Computing matrix functions associated with a Hermitian-definite pencil
Dario A. Bini, Massimiliano Fasi, Bruno Iannazzo
We consider the numerical evaluation of the quantity , where is Hermitian positive definite, is Hermitian, and is a function defined on the spectrum of $A^…
Invariant subspaces of -palindromic pencils and algebraic -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…
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…
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 of the form , where represents a compact o…