From the 1 of 4 linked papers with an AI index.
4 papers
A MATLAB Tool for the Stable Generation of Matrix Polynomial Evaluation Schemes with Two-Product Savings
J. Ibáñez, J. Ibáñez, J. Sastre +2
The paper introduces a MATLAB tool that automatically generates stable evaluation schemes for high-degree matrix polynomials, achieving a reduction of two matrix multiplications co…
Cancellative sparse domination
José M. Conde Alonso, Emiel Lorist, Guillermo Rey
We present a general sparse domination principle which respects the cancellative structure of the functions under study. We obtain sparse domination results in general measure spac…
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…
Minimizing measures for the doubling condition
Fernando Benito F. de la Cigoña, José M. Conde Alonso, Pedro Tradacete
We study those measures whose doubling constant is the least possible among doubling measures on a given metric space. It is shown that such measures exist on every metric space su…