Sciweavers

Share
MMAS
2011
Springer
8 years 6 months ago
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
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...
Björn Engquist, Lexing Ying
TOMS
2008
80views more  TOMS 2008»
9 years 3 months ago
Updating an LU Factorization with Pivoting
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...
Enrique S. Quintana-Ortí, Robert A. van de ...
MOC
1998
71views more  MOC 1998»
9 years 3 months ago
Factorizing complex symmetric matrices with positive definite real and imaginary parts
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...
Nicholas J. Higham
PVM
1997
Springer
9 years 7 months ago
Performance of CAP-Specified Linear Algebra Algorithms
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...
Marc Mazzariol, Benoit A. Gennart, Vincent Messerl...
IPPS
2003
IEEE
9 years 9 months ago
Parallel Direct Solution of Linear Equations on FPGA-Based Machines
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...
Xiaofang Wang, Sotirios G. Ziavras
IPPS
2008
IEEE
9 years 10 months ago
Design of scalable dense linear algebra libraries for multithreaded architectures: the LU factorization
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...
Gregorio Quintana-Ortí, Enrique S. Quintana...
books