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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…