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Filtering by: Creator Holman, Chelsea L. Remove constraint Creator: Holman, Chelsea L. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Subject Matrices Remove constraint Subject: Matrices

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  • Generalization of the Ostrowski-Schneider main inertia theorem

    Creator:
    Hill, Richard David
    Abstract:
    As indicated by the title, this thesis generalizes the Main Inertia Theorem of Ostrowski and Schneider [8]. The first three results concern the formation of a polynomial function f(A, A*, H) so that the existence of an hermitian H for which f(A, A*, H) is positive definite is a necessary...
    Resource Type:
    Masters Thesis
    Full Text:
    constants colurnn vector cornplex variables where urVr X &rrd y are real Proposition L Given A

  • Isoconjunctivity of hermitian matrices

    Creator:
    Vander Beek, John Wayne
    Abstract:
    In this thesis we define two nxn matrices T and S to be isoconjunctive if there exists an nxn nonsingular hermitian matrix H such that T = HSH. We then proceed to establish necessary and sufficient conditions that two nxn matrices T and S be isoconjunctive in the case where...
    Resource Type:
    Dissertation
    Full Text:
    = L* 0 K 0 where L= and K = 1 0 0 1 0 i=Jf .1 T 1 A 0 xi 21 ,(2.6) i=1 1 0 0 1. 0 0 0