Diagonally Singularizable Matrices

Authors: Jiří Rohn
Publication year: 2018
Publication type: Článek v odborném periodiku
Periodical: Linear Algebra and Its Applications
Bibliographic citation: ROHN, Jiří. Diagonally Singularizable Matrices. Linear Algebra and Its Applications. 2018, 555(15 October), 84-91. ISSN 0024-3795. E-ISSN 1873-1856
Dostupné z: doi:10.1016/j.laa.2018.06.010
DOI: 10.1016/j.laa.2018.06.010
ID: 491984

Abstract

A square matrix A is called diagonally singularizable if | A - S | <= I holds for some singular matrix S (I is the identity matrix). The paper brings several necessary and/or sufficient conditions for diagonal singularizability and demonstrates another specific features, namely existence of diagonal-singularizability-preserving operations and a theorem of symmetric alternative.