# Browsing Faculty of Science by Title

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• (Department of Mathematics and Statistics, University of Regina, 2004)
• (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 ...
• (Springer, 2013-10-11)
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, ...
• (Elsevier, 2015)
The enhanced principal rank characteristic sequence (epr-sequence) 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 ...
• (Elsevier, 2015-08-15)
The enhanced principal rank characteristic sequence (epr-sequence) 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 ...
• (Faculty of Science, University of Regina, 2004)
• (Faculty of Science, University of Regina, 2005)
• (Faculty of Science, University of Regina, 2006)
• (Faculty of Science, University of Regina, 2007)
• (PLOS ONE, 2014-05-15)
Fire Blight is a destructive disease of apple and pear caused by the enteric bacterial pathogen, Erwinia amylovora. E. amylovora initiates infection by colonizing the stigmata of apple and pear trees, and entering the ...
• (SIAM, 2009)
A 25-year 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 $f(x) = x^*(A + iB)x/|x^*(A + ... • (2014-01-21) • (Taylor & Francis, 2013) We start with a discussion of coupled algebraic Riccati equations arising in the study of linear-quadratic optimal control problem for Markov jump linear systems. Under suitable assumptions, this system of equations has ... • (SIAM, 2010) The matrix equation$X+A^TX^{-1}A=Q$has been studied extensively when$A$and$Q$are real square matrices and$Q$is symmetric positive definite. The equation has positive definite solutions under suitable conditions, ... • (International Linear Algebra Society, 2014-06) Barrett et al. asked in [W. Barrett et al. Minimum rank of edge subdivisions of graphs. Electronic Journal of Linear Algebra, 18:530–563, 2009.], whether the maximum nullity is equal to the zero forcing number for all ... • (International Linear Algebra Society, 2013-09) The minimum number of distinct eigenvalues, taken over all real symmetric matrices compatible with a given graph G, is denoted by q(G). Using other parameters related to G, bounds for q(G) are proven and then applied to ... • (Springer, 2013) For the algebraic Riccati equation whose four coefficient matrices form a nonsingular$M$-matrix or an irreducible singular$M$-matrix$K$, the minimal nonnegative solution can be found by Newton's method and the doubling ... • (Public Knowledge Network, 2013) We establish the bounds 4 on the Nordhaus- Gaddum sum upper bound multipliers for all graphs G, in connections with certain Colin de Verdi ere type graph parameters. The Nordhaus-Gaddum sum lower bound is conjectured ... • (Elsevier, 2008) The fixed-point iteration is a simple method for finding the maximal Hermitian positive definite solutions of the matrix equations$X\pm A^*X^{-1}A=I$(the plus/minus equations). The convergence of this method ... • (Elsevier, 2012) The Green's function approach for treating quantum transport in nano devices requires the solution of nonlinear matrix equations of the form$X+(C^*+{\rm i} \eta D^*)X^{-1}(C+{\rm i} \eta D)=R+{\rm i}\eta P$, where$R\$ ...