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Generalization of Ky Fan-Amir-Moez-Horn-Mirsky's result on the eigenvalues and real singular values of a matrix
(2008-09-09)
Ky Fan's result states that the real part of the eigenvalues of an n by n com-
plex matrix A is majorized by the eigenvalues of the Hermitian part of A. The
converse was established by Amir-Moez and Horn, and Mirsky, ...
An Implementation of the Finite Element Method for the Velocity-Current Magnetohydrodynamics Equations
(2014-05-15)
The aim of this research is to extend the numerical results in [78] of a velocity-current
magnetohydrodynamics formulation proposed by A.J. Meir and Paul G. Schmidt in [74]
for a stationary flow that models a conductive ...
Efficient Numerical Algorithms for Solving Nonlinear Filtering Problems
(2014-06-18)
Examples of nonlinear filtering problems arise in biology, mathematical finance, signal processing, image processing, target tracking and many engineering applications. Commonly used numerical simulation methods are the ...
Linear Topological Spaces
(2014-04-25)
In this thesis several topics from Topology, Linear Algebra, and Real Analysis are combined in the study of linear topological spaces. We begin with a brief look at linear spaces before moving on to study some basic ...
Random Time Change and Some Applications
(2014-04-25)
This thesis is a survey of known results concerning random time change and its applications. It will cover basic probabilistic concepts and then follow with a detailed look at major results in several branches of probability ...
Completeness Properties in Function Spaces with the Compact-Open Topology
(2014-05-01)
It is an open problem to characterize those spaces X for which the compact-open topology C_k(X) has various completeness properties. It is conjectured that C_k(X) is Baire if and only if X has the moving off property. ...
Matrix Algebras over Strongly Non-Singular Rings
(2014-03-31)
We consider some existing results regarding rings for which the classes of torsion-free and non-singular right modules coincide. Here, a right R-module M is non-singular if xI is nonzero for every nonzero x in M and every ...
Security and secure-dominating sets in graphs
(2014-04-29)
All graphs in this paper are finite and simple. Let G = (V;E) be a graph, x an element of V and
S a subset of V. Following convention, we let N(x) := {u : where ux is an element of E} and N[x] := {x}union N(x). For
S, ...
Inverse eigenvalue problem for Euclidean distance matrices
(2014-04-23)
This paper examines the inverse eigenvalue problem (IEP) for the particular class of Euclidean distance matrices. Studying the necessary and sufficient conditions for a matrix to be an element of the set of Euclidean ...
Text and Predictive Analytics; Classification of On-line Customer Opinion Surveys
(2011-11-17)
Thanks to computers and other data storage technologies, today we can easily save and rapid access to enormous amounts of data. According to results a report published by Andrew Harbison & Pearse Ryan, the information ...