Index Catalog // ScholarsArchive@OSU

Forming dimensionless products by using an algorithm developed from matrix theory

Creator:: Bonsu, Osei Kwabena
Resource Type:: Masters Thesis

Equivalence relations on matrices

Creator:: Biegun, Barry Dow
Abstract:: Row equivalence, equivalence, and similarity of matrices are studied; some problems concerning an extension of these relations to infinite matrices are discussed.
Resource Type:: Masters Thesis

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

The mathematical structure of rectangular arrangements

Creator:: Goslin, Dennis Irl
Abstract:: The author studies the class of rectangular arrangements in terms of two binary relations on the objects of the arrangement. He shows how a univalent matrix determines a unique rectangular arrangement, and how each rectangular arrangement is associated with one, two, or four distinct matrices, according to the number of...
Resource Type:: Masters Thesis

A cone associated with the Lyapunov mapping

Creator:: Lindberg, Charles Gordon
Abstract:: In this paper we investigate the Lyapunov mapping P --> AP + PA * where A is a positive stable matrix and P is a hermitian matrix. In particular, for special positive stable A we characterize the image of the cone of positive definite matrices under this mapping. In Section...
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

A new method for the synthesis of networks by using cut-set matrices

Creator:: Aibara, Tsunehiro
Abstract:: A method for the synthesis of bilateral networks is presented. A new algorithm for the realization of basic cut-set matrices is developed. This is done by the following procedure: 1) We form submatrices, M[subscript j] (i), j= 1,2,..., of the given cut-set matrix, such that M[subscript j](i) satisfies the properties...
Resource Type:: Masters Thesis

Flux measurements in the Oregon State TRIGA reactor

Creator:: Upham, Gary Lamont
Abstract:: Neutron flux and gamma-ray dose have been measured in the experimental facilities of the Oregon State TRIGA reactor. Thermal neutron flux measurements utilized foil activation techniques. The gamma-ray dose was measured with a thermoluminescent dosimetry system. The thermoluminescent material used was LiF. Fast neutron spectrum measurements were performed. The fast...
Resource Type:: Masters Thesis

First order differential corrections in the eigenvalue problem

Creator:: Akers, David Warren
Abstract:: Let A be an n x n real, symmetric matrix with distinct characteristic values λ₁, λ₂,...,λɴ. Then there exists an orthogonal matrix P such that PAPᵀ = Λ = (λi). Given a small symmetric change, ∆A, in the matrix A, we can calculate the resulting changes, ∆P, and ∆Λ, in...
Resource Type:: Masters Thesis

A fast algorithm for determining the primitivity of an n x n nonnegative matrix

Creator:: Leegard, Amanda D.
Abstract:: Nonnegative matrices have a myriad of applications in the biological, social, and physical genres. Of particular importance are the primitive matrices. A nonnegative matrix, M, is primitive exactly when there is a positive integer, k, such that M[superscript k] has only positive entries; that is, all the entries in M[superscript...
Resource Type:: Masters Thesis

ScholarsArchive@OSU

Forming dimensionless products by using an algorithm developed from matrix theory

Equivalence relations on matrices

Generalization of the Ostrowski-Schneider main inertia theorem

The mathematical structure of rectangular arrangements

A cone associated with the Lyapunov mapping

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

A new method for the synthesis of networks by using cut-set matrices

Flux measurements in the Oregon State TRIGA reactor

First order differential corrections in the eigenvalue problem

A fast algorithm for determining the primitivity of an n x n nonnegative matrix

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