Abstract-A new parallel algorithm for the LU factorization of a given dense matrix A is described. The case of banded matrices is also considered. This algorithm can be combined with Sameh and Brent’s [SIAM J. Numer. Anal. 14, 1101-I 113. (1977)] to obtain the solution of a linear system of algebraic equations. The arithmetic complexity for the dense case is in ’ ($bn in the banded case), using 3(n- 1) processors and no square roots.
A coarse-grain parallel implementation is presented of LU factorisation, forward and backward substi...
This paper represents the first attempt towards a decomposition-independent implementation of parall...
In Part I of this this paper, we proposed a new parallel bidirectional algorithm, based on Cholesky...
AbstractA new parallel algorithm for the LU factorization of a given dense matrix A is described. Th...
This paper considers key ideas in the design of out-of-core dense LU factorization routines. A left...
LU decomposition is intensively used in various scientific and engineering computations. A parallel ...
Colloque avec actes et comité de lecture. internationale.International audienceThis paper describes ...
AbstractThis paper gives improved parallel methods for several exact factorizations of some classes ...
AbstractLU decomposition is intensively used in various scientific and engineering computations. A p...
The solution of dense systems of linear equations is at the heart of numerical computations. Such sy...
This thesis presents a parallel algorithm for the direct LU factorization of general unsymmetric spa...
The linear system of equations with dense coefficient matrix is very common in science and engineeri...
SIGLEAvailable from British Library Document Supply Centre- DSC:8717.57(NOC-TR--186) / BLDSC - Briti...
As sequential computers seem to be approaching their limits in CPU speed there is increasing intere...
Due to the evolution of massively parallel computers towards deeper levels of parallelism and memory...
A coarse-grain parallel implementation is presented of LU factorisation, forward and backward substi...
This paper represents the first attempt towards a decomposition-independent implementation of parall...
In Part I of this this paper, we proposed a new parallel bidirectional algorithm, based on Cholesky...
AbstractA new parallel algorithm for the LU factorization of a given dense matrix A is described. Th...
This paper considers key ideas in the design of out-of-core dense LU factorization routines. A left...
LU decomposition is intensively used in various scientific and engineering computations. A parallel ...
Colloque avec actes et comité de lecture. internationale.International audienceThis paper describes ...
AbstractThis paper gives improved parallel methods for several exact factorizations of some classes ...
AbstractLU decomposition is intensively used in various scientific and engineering computations. A p...
The solution of dense systems of linear equations is at the heart of numerical computations. Such sy...
This thesis presents a parallel algorithm for the direct LU factorization of general unsymmetric spa...
The linear system of equations with dense coefficient matrix is very common in science and engineeri...
SIGLEAvailable from British Library Document Supply Centre- DSC:8717.57(NOC-TR--186) / BLDSC - Briti...
As sequential computers seem to be approaching their limits in CPU speed there is increasing intere...
Due to the evolution of massively parallel computers towards deeper levels of parallelism and memory...
A coarse-grain parallel implementation is presented of LU factorisation, forward and backward substi...
This paper represents the first attempt towards a decomposition-independent implementation of parall...
In Part I of this this paper, we proposed a new parallel bidirectional algorithm, based on Cholesky...