Year: 2020
Type: preprint
Abstract: We show that the sum of ranks of two matrix polynomials is the same as the sum of the rank of the matrix obtained by applying the greatest common divisor of the polynomials, with the rank of the matrix obtained by applying the lowest common multiple of the polynomials. Many applications, for older or more recent problems, of this result are obtained.
Source: arXiv (Cornell University)
Author: Pop, Vasile
Institution: Technical University of Cluj-Napoca
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3089909015