Interval matrices: Regularity generates singularity

0482441 - ÚI 2019 RIV US eng J - Článek v odborném periodiku
Rohn, Jiří - Shary, S.P.
Interval matrices: Regularity generates singularity.
Linear Algebra and Its Applications. Roč. 540, 1 March (2018), s. 149-159. ISSN 0024-3795. E-ISSN 1873-1856
Institucionální podpora: RVO:67985807
Klíčová slova: interval matrix * regularity * singularity * P-matrix * absolute value equation * diagonally singilarizable matrix
Obor OECD: Applied mathematics
Impakt faktor: 0.977, rok: 2018

It is proved that regularity of an interval matrix implies singularity of four related interval matrices. The result is used to prove that for each nonsingular point matrix A, either A or A^-1 can be brought to a singular matrix by perturbing only the diagonal entries by an amount of at most 1 each. As a consequence, the notion of a diagonally singularizable matrix is introduced.
Trvalý link: http://hdl.handle.net/11104/0277876