TY - JOUR

T1 - Interval matrices

T2 - Regularity generates singularity

AU - Rohn, Jiri

AU - Shary, Sergey P.

PY - 2018/3/1

Y1 - 2018/3/1

N2 - 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.

AB - 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.

KW - Absolute value equation

KW - Diagonally singularizable matrix

KW - Interval matrix

KW - P-matrix

KW - Regularity

KW - Singularity

UR - http://www.scopus.com/inward/record.url?scp=85037160769&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2017.11.020

DO - 10.1016/j.laa.2017.11.020

M3 - Article

AN - SCOPUS:85037160769

VL - 540

SP - 149

EP - 159

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

ER -