Set-direct factorizations of groups

conjugate factorizations of finite groups

in this paper we illustrate recent results about factorizations of finite groups into conjugate subgroups. the illustrated results are joint works with john cannon, dan levy, attila mar'oti and iulian i. simion.

Factorizations of Primitive Permutation Groups

On Minimal Length Factorizations of Finite Groups

Direct Secant Updates of Matrix Factorizations

This paper presents a new context for using the sparse Broyden update method to solve systems of nonlinear equations. The setting for this work is that a Newton-like algorithm is assumed to be available which incorporates a workable strategy for improving poor initial guesses and providing a satisfactory Jacobian matrix approximation whenever required. The total cost of obtaining each Jacobian ...

Sparse Direct Factorizations through Unassembled Hyper-Matrices

We present a novel strategy for sparse direct factorizations that is geared towards the matrices that arise from hp-adaptive Finite Element Methods. In that context, a sequence of linear systems derived by successive local refinement of the problem domain needs to be solved. Thus, there is an opportunity for a factorization strategy that proceeds by updating (and possibly downdating) the factor...