VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • On the defect index of quadratic self-adjoint operator pencils
    Kostenko, Aleksej Sergejevič, 1980-
    Consider the matrix pencil of the form ▫$L(s)=sA+\frac{1}{s}B-C$▫ where ▫$A,B,C$▫ are Hermitian matrices acting in the space ▫$H=\mathbb{C}^{n}$▫ and satisfying the following conditions: ▫$$ ... A=(a_{ij}) _{i,j=1,2,\dots,n},\quad A>0,\;a_{ii}>\sum_{\underset{j\neq i}{j=1}}^{n}(a_{ij}) +e_{i}^{A},e_{i}^{A}\geq 0, $$▫ ▫$$ B=\left\| b_{ij}\right\| _{i,j=1,2,\dots,n},\quad B>0,\;b_{ii}>\sum_{\underset{j\neq i}{j=1}}^{n}\left| b_{ij}\right| +e_{i}^{B},e_{i}^{B}\geq 0,\;C=J_{k}=\text{diag}( I_{n-k},-I_{k}) . $$▫ This paper obtains simple sufficient conditions ensuring the equality ▫$ k\_\left( L\right) =2k$▫ and the e-dichotomy of pencils of the form of ▫$L(s)$▫.
    Vir: Mathematical notes = Matematicheskie zametki. - ISSN 1067-9073 (Vol. 72, no. 1-2, July 2002, str. 285-290)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2002
    Jezik - angleški
    COBISS.SI-ID - 18854489

    Povezava(-e):

    https://doi.org/10.1023/A:1019818516267
    DOI

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