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PARA
1995
Springer
13 years 8 months ago
A Proposal for a Set of Parallel Basic Linear Algebra Subprograms
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...
SOFSEM
2000
Springer
13 years 8 months ago
Computing the Dimension of Linear Subspaces
Abstract. Since its very beginning, linear algebra is a highly algorithmic subject. Let us just mention the famous Gau
Martin Ziegler, Vasco Brattka
CRYPTO
2001
Springer
152views Cryptology» more  CRYPTO 2001»
13 years 9 months ago
Secure Distributed Linear Algebra in a Constant Number of Rounds
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...
Ronald Cramer, Ivan Damgård
SC
2009
ACM
13 years 9 months ago
Comparative study of one-sided factorizations with multiple software packages on multi-core hardware
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...
PDP
2003
IEEE
13 years 9 months ago
Automatic Optimisation of Parallel Linear Algebra Routines in Systems with Variable Load
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 ...
Javier Cuenca, Domingo Giménez, José...
CSL
2005
Springer
13 years 10 months ago
Feasible Proofs of Matrix Properties with Csanky's Algorithm
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...
Michael Soltys
ACMSE
2005
ACM
13 years 10 months ago
A metaprogramming approach to generating optimized code for algorithms in linear algebra
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...
Najaf A. Shah, Anthony Skjellum
HASKELL
2006
ACM
13 years 10 months ago
Statically typed linear algebra in Haskell
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...
Frederik Eaton
TCC
2007
Springer
170views Cryptology» more  TCC 2007»
13 years 10 months ago
Secure Linear Algebra Using Linearly Recurrent Sequences
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...
Eike Kiltz, Payman Mohassel, Enav Weinreb, Matthew...
ISSAC
2007
Springer
131views Mathematics» more  ISSAC 2007»
13 years 10 months ago
Some recent progress in exact linear algebra and related questions
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...
Gilles Villard