3 papers
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
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^…
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…