STOC
2012
ACM
12 years 4 months ago
2012
ACM
This work deals with the power of linear algebra in the context of multilinear computation. By linear algebra we mean algebraic branching programs (ABPs) which are known to be com...
CALCO
2011
Springer
13 years 1 months ago
2011
Springer
Abstract. The free algebra adjunction, between the category of algebras of a monad and the underlying category, induces a comonad on the category of algebras. The coalgebras of thi...
SIAMSC
2010
14 years 5 days ago
2010
Abstract. Several innovative random-sampling and random-mixing techniques for solving problems in linear algebra have been proposed in the last decade, but they have not yet made a...
TOMS
2008
14 years 1 months ago
2008
We present families of algorithms for operations related to the computation of the inverse of a Symmetric Positive Definite (SPD) matrix: Cholesky factorization, inversion of a tr...
TC
2008
14 years 1 months ago
2008
Numerical linear algebra operations are key primitives in scientific computing. Performance optimizations of such operations have been extensively investigated. With the rapid adva...
COMBINATORICS
2007
14 years 1 months ago
2007
In this paper, we study the simple eigenvectors of two hypomorphic matrices using linear algebra. We also give new proofs of results of Godsil and McKay.
CSL
2010
Springer
14 years 2 months ago
2010
Springer
We introduce two-sorted theories in the style of [CN10] for the complexity classes L and DET, whose complete problems include determinants over Z2 and Z, respectively. We then desc...
PPSC
1989
14 years 2 months ago
1989
The LAPACK software project currently under development is intended to provide a portable linear algebra library for high performance computers. LAPACK will make use of the Level 1...
WSC
2007
14 years 4 months ago
2007
In this paper the relation of high-level Petri-nets (hlpn) and linear algebra is outlined. On the basis of this relation the theory of the dual spaces can be brought in to a new c...
PARA
1995
Springer
14 years 5 months ago
1995
Springer
Abstract. ScaLAPACK is a library of high performance linear algebra routines for distributed memory MIMD computers. It is a continuation of the LAPACK project, which designed and p...