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PARA
2004
Springer
14 years 23 days ago
Automatic Derivation of Linear Algebra Algorithms with Application to Control Theory
It is our belief that the ultimate automatic system for deriving linear algebra libraries should be able to generate a set of algorithms starting from the mathematical specificati...
Paolo Bientinesi, Sergey Kolos, Robert A. van de G...
DGCI
2008
Springer
13 years 9 months ago
Decomposition and Construction of Neighbourhood Operations Using Linear Algebra
In this paper, we introduce a method to express a local linear operated in the neighbourhood of each point in the discrete space as a matrix transform. To derive matrix expressions...
Atsushi Imiya, Yusuke Kameda, Naoya Ohnishi
CSL
2010
Springer
13 years 8 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
ECOOPW
1998
Springer
13 years 11 months ago
The Matrix Template Library: A Unifying Framework for Numerical Linear Algebra
Abstract. We present a uni ed approach for expressing high performance numerical linear algebra routines for a class of dense and sparse matrix formats and shapes. As with the Stan...
Jeremy G. Siek, Andrew Lumsdaine
IPPS
1998
IEEE
13 years 11 months ago
High Performance Linear Algebra Package LAPACK90
Abstract. LAPACK90 is a set of LAPACK90 subroutines which interfaces FORTRAN90 with LAPACK. All LAPACK driver subroutines including expert drivers and some LAPACK computationals ha...
Jack Dongarra, Jerzy Wasniewski