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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
A study of symmetric matrices and quadratic forms over fields of characteristic two

Creator:

Furcha, John Arthur

Abstract:

This thesis has four main results. First we find a reduction form for symmetric matrices over fields of characteristic two. This result parallels the diagonalization theorem for symmetric matrices over fields of characteristic not two. Secondly we reduce our reduction form to a canonical form in perfect fields of characteristic...

Resource Type:

Masters Thesis