Výsledky vyhledávání - "Elsheikh, Mustafa"

Dissertation/ Thesis

A Generative Approach to Meshing Geometry

Autor: Elsheikh, Mustafa

This thesis presents the design and implementation of a generative geometric kernel suitable for supporting a family of mesh generation programs. The kernel is designed as a program generator which is generic, parametric, type-safe. and maintainable.

Externí odkaz: http://hdl.handle.net/11375/9913

Zobrazit plný text záznamu

Report

Ranks of Quotients, Remainders and $p$-Adic Digits of Matrices

Autor: Elsheikh, Mustafa, Novocin, Andy, Giesbrecht, Mark

For a prime $p$ and a matrix $A \in \mathbb{Z}^{n \times n}$, write $A$ as $A = p (A \,\mathrm{quo}\, p) + (A \,\mathrm{rem}\, p)$ where the remainder and quotient operations are applied element-wise. Write the $p$-adic expansion of $A$ as $A = A^{[0

Externí odkaz: http://arxiv.org/abs/1401.6667

Zobrazit plný text záznamu

Report

Relating $p$-adic eigenvalues and the local Smith normal form

Autor: Elsheikh, Mustafa, Giesbrecht, Mark

Conditions are established under which the $p$-adic valuations of the invariant factors (diagonal entries of the Smith form) of an integer matrix are equal to the $p$-adic valuations of the eigenvalues. It is then shown that this correspondence is th

Externí odkaz: http://arxiv.org/abs/1401.1773

Zobrazit plný text záznamu

Report

Fast Computation of Smith Forms of Sparse Matrices Over Local Rings

Autor: Elsheikh, Mustafa, Giesbrecht, Mark, Novocin, Andy, Saunders, B. David

We present algorithms to compute the Smith Normal Form of matrices over two families of local rings. The algorithms use the \emph{black-box} model which is suitable for sparse and structured matrices. The algorithms depend on a number of tools, such

Externí odkaz: http://arxiv.org/abs/1201.5365

Zobrazit plný text záznamu