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Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices

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2017

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http://nbn-resolving.de/urn:nbn:de:bsz:352-0-387077
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https://doi.org/10.1016/j.laa.2016.11.001
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Published

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Linear Algebra and its Applications. 2017, 514, pp. 222-233. ISSN 0024-3795. eISSN 1873-1856. Available under: doi: 10.1016/j.laa.2016.11.001

Zusammenfassung

A real matrix is called totally nonnegative if all its minors are nonnnegative. In this paper the minors are determined from which the maximum allowable entry perturbation of a totally nonnegative matrix can be found, such that the perturbed matrix remains totally nonnegative. Also, the total nonnegativity of the first and seond subdirect sum of two totally nonnegative matrices is considered.

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Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Totally nonnegative matrix; Entry-wise perturbation; k-subdirect sum

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ISO 690ADM, Mohammad, Jürgen GARLOFF, 2017. Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices. In: Linear Algebra and its Applications. 2017, 514, pp. 222-233. ISSN 0024-3795. eISSN 1873-1856. Available under: doi: 10.1016/j.laa.2016.11.001
BibTex
@article{Adm2017Invar-35782,
  year={2017},
  doi={10.1016/j.laa.2016.11.001},
  title={Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices},
  volume={514},
  issn={0024-3795},
  journal={Linear Algebra and its Applications},
  pages={222--233},
  author={Adm, Mohammad and Garloff, Jürgen}
}
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