We improve a criterion of Inkeri and show that if there is a solution to Catalan’s equation xp − yq = ±1,(1) with p and q prime numbers greater than 3 and both congruent to 3 ...
Abstract--This paper presents a class of power grid analysis and optimization techniques, all of which are based on the algebraic-multigrid (AMG) method. First, a new AMG-based red...
This paper describes a proposal for a set of Parallel Basic Linear Algebra Subprograms PBLAS. The PBLAS are targeted at distributed vector-vector, matrix-vector and matrixmatrix...
Jaeyoung Choi, Jack Dongarra, Susan Ostrouchov, An...
In this paper we give a specification of a new block cipher that can be called the Courtois Toy Cipher (CTC). It is quite simple, and yet very much like any other known block ciph...
Boolean Algebra with Presburger Arithmetic (BAPA) is a decidable logic that combines 1) Boolean algebra of sets of uninterpreted elements (BA) and 2) Presburger arithmetic (PA). BA...