Index Catalog // ScholarsArchive@OSU

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

Fully efficient pipelined VLSI arrays for solving toeplitz matrices

Creator:: Lee, Louis Wai-Fung
Abstract:: Fully efficient systolic arrays for the solution of Toeplitz matrices using Schur algorithm [1] have been obtained. By applying clustering mapping method [2], the complexity of the algorithm is 0(n) and it requires n/2 processing elements as opposed to n processing elements developed elsewhere [1]. The motivation of this thesis...
Resource Type:: Masters Thesis

Synthesis of multi-rate arrays from directional uniform recurrence equations

Creator:: Li, Aihua
Abstract:: Advances in VLSI array processing have led to many new parallel structures for real-time Digital Signal Processing (DSP) applications. Among all the architectures, systolic arrays have played an important role because systolic arrays have regular, local interconnections with modular structure. In ordinary systolic arrays, however, all processing operations and data...
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

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

A model of Non-Euclidean geometry in three dimensions, II

Creator:: Eschrich, Robert William
Abstract:: This paper is a continuation of William Zell's thesis, A Model of Non-Euclidean Geometry in Three Dimensions. The purpose of that thesis was to show that the axioms of non-Euclidèan geometry are consistent if Euclidean geometry an& hence arithrnetic is consistent. Mr. Zell. discussed the axioms of connection and order...
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

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

Rigorous computer inversion of some linear operators

Creator:: Yungen, Walter Arthur
Abstract:: In this thesis we consider computer techniques for inverting n X n matrices and linear Fredholm integral operators of the second kind. We develop techniques which allow us to prove the existence of and find approximations to inverses for the above types of operators. In addition, we are able to...
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

ScholarsArchive@OSU

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

Fully efficient pipelined VLSI arrays for solving toeplitz matrices

Synthesis of multi-rate arrays from directional uniform recurrence equations

First order differential corrections in the eigenvalue problem

Flux measurements in the Oregon State TRIGA reactor

A model of Non-Euclidean geometry in three dimensions, II

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

A cone associated with the Lyapunov mapping

Rigorous computer inversion of some linear operators

The mathematical structure of rectangular arrangements

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