3 papers
math.NA2026
A MATLAB Tool for the Stable Generation of Matrix Polynomial Evaluation Schemes with Two-Product Savings
J. Ibáñez, J. Sastre, J. M. Alonso +1
Computing numerical approximations of matrix functions frequently relies on the efficient evaluation of high-degree matrix polynomials. Although computational bounds are historical…
math.NA2026
A Systematic Framework for Stable and Cost-Efficient Matrix Polynomial Evaluation
J. M. Alonso, J. Sastre, J. Ibáñez +1
A method for evaluating matrix polynomials have recently been developed that require one fewer matrix product () than the Paterson--Stockmeyer (PS) method. Since the computatio…
math.NA2024
Polynomial approximations for the matrix logarithm with computation graphs
Elias Jarlebring, Jorge Sastre, J. Javier Ibáñez González
The most popular method for computing the matrix logarithm is a combination of the inverse scaling and squaring method in conjunction with a Padé approximation, sometimes accompani…