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...
Consider a network of processors among which elements in a finite field K can be verifiably shared in a constant number of rounds. Assume furthermore constant-round protocols ar...
The emergence and continuing use of multi-core architectures require changes in the existing software and sometimes even a redesign of the established algorithms in order to take ...
Emmanuel Agullo, Bilel Hadri, Hatem Ltaief, Jack D...
Abstract. In this work an architecture of an automatically tuned linear algebra library proposed in previous works is extended in order to adapt it to platforms where both the CPU ...
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
an extended abstract for a poster that presents a new approach that employs metaprogramming to generate optimized code for algorithms in Linear Algebra. Categories and Subject Des...
Many numerical algorithms are specified in terms of operations on vectors and matrices. Matrix operations can be executed extremely efficiently using specialized linear algebra k...
In this work we present secure two-party protocols for various core problems in linear algebra. Our main result is a protocol to obliviously decide singularity of an encrypted matr...
We describe some major recent progress in exact and symbolic linear algebra. These advances concern the improvement of complexity estimates for fundamental problems such as linear...