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Generalized Totally Nonnegative Matrices.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F02%3A06020026" target="_blank" >RIV/67985807:_____/02:06020026 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Generalized Totally Nonnegative Matrices.

  • Original language description

    We define a new class of generalized totally nonnegative matrices, shortly GTN-matrices, over a noncommutative ring with identity and a positive part. The class of GTN-matrices is closed under multiplication, every submatrix of a GTN-matrix is a GTN-matrix as well. We also define a standard form of a GTN-matrix. We then study the invertible GTN-matrices of a fixed order and classify them; the classes form a partially ordered set, can be (noncommutatively) multiplied and multiplication preserves ordering.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA1030003" target="_blank" >IAA1030003: Polynomial and structured matrices</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2002

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Linear Algebra and Its Applications

  • ISSN

    0024-3795

  • e-ISSN

  • Volume of the periodical

    345

  • Issue of the periodical within the volume

    N/A

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    20

  • Pages from-to

    9-28

  • UT code for WoS article

  • EID of the result in the Scopus database