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Interval matrices : Regularity generates singularity. / Rohn, Jiri; Shary, Sergey P.

In: Linear Algebra and Its Applications, Vol. 540, 01.03.2018, p. 149-159.

Research output: Contribution to journal › Article › peer-review

Harvard

Rohn, J & Shary, SP 2018, 'Interval matrices: Regularity generates singularity', Linear Algebra and Its Applications, vol. 540, pp. 149-159. https://doi.org/10.1016/j.laa.2017.11.020

APA

Rohn, J., & Shary, S. P. (2018). Interval matrices: Regularity generates singularity. Linear Algebra and Its Applications, 540, 149-159. https://doi.org/10.1016/j.laa.2017.11.020

Vancouver

Rohn J, Shary SP. Interval matrices: Regularity generates singularity. Linear Algebra and Its Applications. 2018 Mar 1;540:149-159. doi: 10.1016/j.laa.2017.11.020

Author

Rohn, Jiri ; Shary, Sergey P. / Interval matrices : Regularity generates singularity. In: Linear Algebra and Its Applications. 2018 ; Vol. 540. pp. 149-159.

BibTeX

@article{2affcf6e876f43caae22240cf55a4d0f,
title = "Interval matrices: Regularity generates singularity",
abstract = "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.",
keywords = "Absolute value equation, Diagonally singularizable matrix, Interval matrix, P-matrix, Regularity, Singularity",
author = "Jiri Rohn and Shary, {Sergey P.}",
year = "2018",
month = mar,
day = "1",
doi = "10.1016/j.laa.2017.11.020",
language = "English",
volume = "540",
pages = "149--159",
journal = "Linear Algebra and Its Applications",
issn = "0024-3795",
publisher = "Elsevier Science Inc.",

}

RIS

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 -

ID: 9159757