|August 2013 ‐ Present||Assistant Professor, Nova Southeastern University ‐ Halmos College of Natural Sciences and Oceanography|
|September 2007 ‐ May 2010||Ph.D., Mathematics (Applied Science), College of William and Mary|
|September 2005 ‐ August 2007||M.S., Mathematics, University of Victoria|
|September 1999 ‐ August 2002||M.S., Mathematics, Shahid Beheshti University|
|September 1995 ‐ August 1999||B.S., Mathematics, Tabriz University|
Journal articles written or co-written by Dr. Shahla Nasserasr
TP_k Completion of Patterns with One Unspecified Entry Electronic Journal of Linear Algebra (2014)
Every partial TP2 (TP1) matrix with one unspecified entry has a TP2 (TP1) completion. For a given m-by-n pattern with one unspecified entry, the minimum set of conditions characterizing TP3 completability is given. These conditions ...
Complete Solution to the TP2 Completion Problem Linear and Multilinear Algebra (2014)
For any pattern of the specified entries, an explicit finite list of polynomial inequalities in the specified entries is given that characterizes the completability of a partial positive matrix to a TP2 matrix. Each polynomial ...
Minimum Number of Distinct Eigenvalues of Graphs Electronic Journal of Linear Algebra (2013)
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 ...
On the Null Space Structure Associated with Trees and Cycles Journal of Combinatorial Mathematics and Combinatorial Computing (JCMCC) (2013)
In this work, we study the structure of the null spaces of matrices associated with graphs. Our primary tool is utilizing Schur complements based on certain collections of independent vertices. This idea is applied in ...
Totally Positive Shapes and TPk-completable Patterns Linear Algebra and its Applications (2012)
The notions of total positivity and of TPk are generalized to “shapes” (a generalization of matrices). In particular, the relationship between positivity of “contiguous” minors and all minors is characterized for general shapes and for ...
Primitive Digraphs with Smallest Large Exponent Linear Algebra and its Applications (2008)
A primitive digraph D on n vertices has large exponent if its exponent, γ(D), satisfies αn⩽γ(D)⩽wn, where αn=⌊wn/2⌋+2 and wn=(n-1)2+1. It is shown that the minimum number of arcs in a primitive digraph D on ...
Conference presentations, proceedings, lectures, and symposia given by Dr. Shahla Nasserasr