M. Elsheikh

most citedRelating

p

-adic eigenvalues and the local Smith normal form

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2014

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

Mustafa Elsheikh, Andy Novocin, Mark Giesbrecht

For a prime $p$ and a matrix $A \in Z^{n \times n}$ , write $A$ as $A = p (A quo p) + (A rem p)$ where the remainder and quotient operations are a…

math.RA2014★ 2 cited

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

Mustafa Elsheikh, Mark Giesbrecht

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 valuatio…

cs.SC2012

Fast Computation of Smith Forms of Sparse Matrices Over Local Rings

Mustafa Elsheikh, Mark Giesbrecht, Andy Novocin +1

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…

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

Relating p-adic eigenvalues and the local Smith normal form

Fast Computation of Smith Forms of Sparse Matrices Over Local Rings

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

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