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Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F99%3A00008155" target="_blank" >RIV/00216224:14310/99:00008155 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices

  • Original language description

    In this paper we discuss disconjugacy of symplectic difference systems in the relation with positive definiteness of a certain associated block tridiagonal matrix. Analogous results have been recently proven for a special form of a symplectic systems - linear Hamiltonian difference systems and Sturm-Liouville difference equations. Finally, reciprocal systems are also discussed.

  • Czech name

    Disconjugacy of symplectic systems and positive definiteness of block tridiagonal matrices

  • Czech description

    In this paper we discuss disconjugacy of symplectic difference systems in the relation with positive definiteness of a certain associated block tridiagonal matrix. Analogous results have been recently proven for a special form of a symplectic systems - linear Hamiltonian difference systems and Sturm-Liouville difference equations. Finally, reciprocal systems are also discussed.

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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    1999

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Rocky Mountain Journal of Mathematics

  • ISSN

    0035-7596

  • e-ISSN

  • Volume of the periodical

    29

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    18

  • Pages from-to

    1301-1319

  • UT code for WoS article

  • EID of the result in the Scopus database