MMAS
2011
Springer
12 years 7 months ago
2011
Springer
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow th...
TOMS
2008
13 years 3 months ago
2008
We show how to compute an LU factorization of a matrix when the factors of a leading principle submatrix are already known. The approach incorporates pivoting akin to partial pivo...
MOC
1998
13 years 4 months ago
1998
Complex symmetric matrices whose real and imaginary parts are positive definite are shown to have a growth factor bounded by 2 for LU factorization. This result adds to the classe...
PVM
1997
Springer
13 years 8 months ago
1997
Springer
The traditional approach to the parallelization of linear algebra algorithms such as matrix multiplication and LU factorization calls for static allocation of matrix blocks to proc...
IPPS
2003
IEEE
13 years 9 months ago
2003
IEEE
The efficient solution of large systems of linear equations represented by sparse matrices appears in many tasks. LU factorization followed by backward and forward substitutions i...
IPPS
2008
IEEE
13 years 10 months ago
2008
IEEE
The scalable parallel implementation, targeting SMP and/or multicore architectures, of dense linear algebra libraries is analyzed. Using the LU factorization as a case study, it is...