Browsing Faculty of Science by Issue Date
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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. ... 
Rendering Methods for Iterated Function Systems
(NorthHolland, 199112)This paper describes rendering methods for iterated function systems (IFS’s). The rendering process consists of the generation of a field of data using an IFS and its visualization by means of computer graphics. Two groups ... 
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 ... 
Postmagmatic alteration in eudialyte from the North Qoroq centre, South Greenland
(Mineralogical Society of Great Britian, 199702)The North Qoroq centre comprises a series of nested nepheline syenite intrusions and forms part of the midlate Proterozoic Gardar province of South Greenland. Within the centre fractionation has produced varied rock types ... 
Faculty of Science annual report, January 1, 2004  December 31, 2004
(Faculty of Science, University of Regina, 2004) 
Department of Mathematics and Statistics Annual Report 2004
(Department of Mathematics and Statistics, University of Regina, 2004) 
Creating our future: 20052010 : a strategic plan for the Faculty of Science
(Faculty of Science, University of Regina, 200409) 
Faculty of Science annual report, January 1, 2005  December 31, 2005
(Faculty of Science, University of Regina, 2005) 
Faculty of Science annual report, January 1, 2006  December 31, 2006
(Faculty of Science, University of Regina, 2006) 
Faculty of Science annual report, January 1, 2007  December 31, 2007
(Faculty of Science, University of Regina, 2007) 
A note on the fixedpoint iteration for the matrix equations $X\pm A^*X^{1}A=I$
(Elsevier, 2008)The fixedpoint iteration is a simple method for finding the maximal Hermitian positive definite solutions of the matrix equations $X\pm A^*X^{1}A=I$ (the plus/minus equations). The convergence of this method ... 
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 ... 
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 ... 
An Improved Arc Algorithm for Detecting Definite Hermitian Pairs
(SIAM, 2009)A 25year old and somewhat neglected algorithm of Crawford and Moon attempts to determine whether a given Hermitian matrix pair $(A,B)$ is definite by exploring the range of the function $f(x) = x^*(A + iB)x/x^*(A + ... 
Solving a structured quadratic eigenvalue problem by a structurepreserving doubling algorithm
(SIAM, 2010)In studying the vibration of fast trains, we encounter a palindromic quadratic eigenvalue problem (QEP) $(\lambda^2 A^T + \lambda Q + A)z = 0$, where $A, Q \in \mathbb{C}^{n \times n}$ and $Q^T = Q$. Moreover, the matrix ... 
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. 
The matrix equation $X+A^TX^{1}A=Q$ and its application in nano research
(SIAM, 2010)The matrix equation $X+A^TX^{1}A=Q$ has been studied extensively when $A$ and $Q$ are real square matrices and $Q$ is symmetric positive definite. The equation has positive definite solutions under suitable conditions, ... 
On Newton's method and Halley's method for the principal $p$th root of a matrix
(Elsevier, 2010)If $A$ is a matrix with no negative real eigenvalues and all zero eigenvalues of $A$ are semisimple, the principal $p$th root of $A$ can be computed by Newton's method or Halley's method, with a preprocessing procedure ... 
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 ... 
Simultaneous Tracking and Activity Recognition with Relational Dynamic Bayesian Networks
(Department of Computer Science, University of Regina, 20110330)Taking into account relationships between interacting objects can improve the understanding of the dynamic model governing their behaviors. Moreover, maintaining a belief about the ongoing activity while tracking allows ...