Simple, Fast and Practicable Algorithms for Cholesky, LU and QR Decomposition Using Fast Rectangular Matrix Multiplication
Numerical Analysis
2018-12-06 v1 Data Structures and Algorithms
Abstract
This note presents fast Cholesky/LU/QR decomposition algorithms with time complexity when using the fastest known matrix multiplication. The algorithms have potential application, since a quickly made implementation using Strassen multiplication has lesser execution time than the employed by the GNU Scientific Library for the same task in at least a few examples. The underlaying ideas are very simple. Despite this, I have been unable to find these methods in the literature.
Keywords
Cite
@article{arxiv.1812.02056,
title = {Simple, Fast and Practicable Algorithms for Cholesky, LU and QR Decomposition Using Fast Rectangular Matrix Multiplication},
author = {Cristóbal Camarero},
journal= {arXiv preprint arXiv:1812.02056},
year = {2018}
}