jo s e pr,jua njo @ a c.up c.e du Abstract- In this paper we present an im-prove m e nt to o ur s e que nti al i n- co re i m pl e-mentation of a sparse Cholesky factorization based on a hypermatrix storage structure. We allow the inclusion of additional zeros in data submatrices to create larger blocks and in this way use more efficient routines for matrix multiplication. Since matrix multi-plication takes about 90 % of the total fac-torization time this is an important point to optimize.
This paper discusses optimizing computational linear algebra algorithms on a ring cluster of IBM R...
We describe the design, implementation, and performance of a new parallel sparse Cholesky factoriza...
The Bulk Synchronous Parallel (BSP) programming model is studied in the context of sparse matrix com...
The sparse hypermatrix storage scheme produces a recursive 2D partitioning of a sparse matrix. Data ...
Ecient execution of numerical algorithms requires adapting the code to the underlying execution plat...
AbstractPartitioning a sparse matrix A is a useful device employed by a number of sparse matrix tech...
We describe a parallel algorithm for finding the Cholesky factorization of a sparse symmetric posit...
We develop an algorithm for computing the symbolic and numeric Cholesky factorization of a large sp...
We discuss the use of hypergraph partitioning based methods in fill-reducing orderings of sparse mat...
As sequential computers seem to be approaching their limits in CPU speed there is increasing intere...
Matrix computations lie at the heart of most scientific computational tasks. The solution of linear ...
We present subroutines for the Cholesky factorization of a positive-definite symmetric matrix and fo...
Prior to computing the Cholesky factorization of a sparse symmetric positive definite matrix, a reor...
AbstractEvery iteration of an interior point method of large scale linear programming requires compu...
Systems of linear equations of the form $Ax = b,$ where $A$ is a large sparse symmetric positive de...
This paper discusses optimizing computational linear algebra algorithms on a ring cluster of IBM R...
We describe the design, implementation, and performance of a new parallel sparse Cholesky factoriza...
The Bulk Synchronous Parallel (BSP) programming model is studied in the context of sparse matrix com...
The sparse hypermatrix storage scheme produces a recursive 2D partitioning of a sparse matrix. Data ...
Ecient execution of numerical algorithms requires adapting the code to the underlying execution plat...
AbstractPartitioning a sparse matrix A is a useful device employed by a number of sparse matrix tech...
We describe a parallel algorithm for finding the Cholesky factorization of a sparse symmetric posit...
We develop an algorithm for computing the symbolic and numeric Cholesky factorization of a large sp...
We discuss the use of hypergraph partitioning based methods in fill-reducing orderings of sparse mat...
As sequential computers seem to be approaching their limits in CPU speed there is increasing intere...
Matrix computations lie at the heart of most scientific computational tasks. The solution of linear ...
We present subroutines for the Cholesky factorization of a positive-definite symmetric matrix and fo...
Prior to computing the Cholesky factorization of a sparse symmetric positive definite matrix, a reor...
AbstractEvery iteration of an interior point method of large scale linear programming requires compu...
Systems of linear equations of the form $Ax = b,$ where $A$ is a large sparse symmetric positive de...
This paper discusses optimizing computational linear algebra algorithms on a ring cluster of IBM R...
We describe the design, implementation, and performance of a new parallel sparse Cholesky factoriza...
The Bulk Synchronous Parallel (BSP) programming model is studied in the context of sparse matrix com...