Browsing Faculty of Science by Title
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Approximation and Visualization of Sets Defined by Iterated Function Systems
(University of Regina, 199103)An iterated function system (IFS) is defined to be a set of contractive affine transformations. When iterated, these transformations define a closed set, called the attractor of an IFS, which has fractal characteristics. ... 
C.V.
(20140121) 
Cold and alone? Roost choice and season affect torpor patterns in lesser short‑tailed bats
(Springer, 2017)Seasonal changes in weather and food availability differentially impact energy budgets of small mammals such as bats. While most thermal physiological research has focused on species that experience extreme seasonal ... 
Colin de Verdiere parameters of chordal graphs
(International Linear Algebra Society, 201301)The Colin de Verdi`ere parameters mu and nu are defined to be the maximum nullity of certain real symmetric matrices associated with a given graph. In this work, both of these parameters are calculated for all chordal ... 
Complex symmetric stabilizing solution of the matrix equation $X+A^{T}X^{1}A=Q$
(Elsevier, 2011)We study the matrix equation $X+A^{T}X^{1}A=Q$, where $A$ is a complex square matrix and $Q$ is complex symmetric. Special cases of this equation appear in Green's function calculation in nano research and also in the ... 
Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case
(SIAM, 2009)In this paper, we review two types of doubling algorithm and some techniques for analyzing them. We then use the techniques to study the doubling algorithm for three different nonlinear matrix equations in the critical ... 
Convergence rates of some iterative methods for nonsymmetric algebraic Riccati equations arising in transport theory
(Elsevier, 2010)We determine and compare the convergence rates of various fixedpoint iterations for finding the minimal positive solution of a class of nonsymmetric algebraic Riccati equations arising in transport theory. 
A convergence result for matrix Riccati differential equations associated with Mmatrices
(20140422)The initial value problem for a matrix Riccati differential equation associated with an $M$matrix is known to have a global solution $X(t)$ on $[0, \infty)$ when $X(0)$ takes values from a suitable set of nonnegative ... 
Creating our future: 20052010 : a strategic plan for the Faculty of Science
(Faculty of Science, University of Regina, 200409) 
Department of Mathematics and Statistics Annual Report 2004
(Department of Mathematics and Statistics, University of Regina, 2004) 
Detecting and solving hyperbolic quadratic eigenvalue problems
(SIAM, 2009)Hyperbolic quadratic matrix polynomials $Q(\lambda) = \lambda^2 A + \lambda B + C$ are an important class of Hermitian matrix polynomials with real eigenvalues, among which the overdamped quadratics are those with ... 
Discernibility in the Analysis of Binary Card Sort Data
(Springer, 20131011)In an open card sorting study of 356 facial photographs, each of 25 participants created an unconstrained number of piles. We consider all 63,190 possible pairs of photos: if both photos are in the same pile for a participant, ... 
Engaging Indigenous Youth in Science with the HighAltitude Balloon Experiment
(Scientific Research Publishing, 20190220)Our custom highaltitude balloon experiment kit with the complete set of instructions has been successfully used to engage high school and postsecondary students across Canada. This article describes how the highaltitude ... 
The enhanced principal rank characteristic sequence
(Elsevier, 2015)The enhanced principal rank characteristic sequence (eprsequence) of a symmetric n ×n matrix is a sequence from A,S, or N according as all, some, or none of its principal minors of order k are nonzero. Such sequences give ... 
The enhanced principal rank characteristic sequence for skewsymmetric matrices
(Elsevier, 20150815)The enhanced principal rank characteristic sequence (eprsequence) was originally defined for an n ×n real symmetric matrix or an n ×n Hermitian matrix. Such a sequence is defined to be l1l2···ln where lk is A,S, or N ... 
An ErdosKoRado theorem for the derangement graph of PGL(2,q) acting on the projective plane
(SIAM Journal on Discrete Mathematics, 2014)Let G = PGL(2, q) be the projective general linear group acting on the projec tive line P_q. A subset S of G is intersecting if for any pair of permutations \pi and \sigma in S, there is a projective point p in P_q such ... 
An ErdősKoRado theorem for finite \(2\)transitive groups
(European Journal of Combinatorics, 2016)We prove an analogue of the classical ErdősKoRado theorem for intersecting sets of permutations in finite \(2\)transitive groups. Given a finite group \(G\) acting faithfully and \(2\)transitively on the set ... 
An ErdősKoRado theorem for the derangement graph of \(PGL_3(q)\) acting on the projective plane
(SIAM J. Discrete Math. 28, 2014)In this paper we prove an ErdősKoRadotype theorem for intersecting sets of permutations. We show that an intersecting set of maximal size in the projective general linear group \(PGL_3(q)\), in its natural ... 
The Escape Buffer: Efficient Computation of Escape Time for Linear Fractals
(Canadian Human Computer Communications Society, 19950517)The study of linear fractals has gained a great deal from the study of quadratic fractals, despite important differences. Methods for classifying points in the complement of a fractal shape were originally developed for ... 
Faculty of Science annual report, January 1, 2004  December 31, 2004
(Faculty of Science, University of Regina, 2004)