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» Computing with abstract matrix structures
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EUROPAR
2003
Springer
15 years 3 months ago
Improving Performance of Hypermatrix Cholesky Factorization
Abstract. This paper shows how a sparse hypermatrix Cholesky factorization can be improved. This is accomplished by means of efficient codes which operate on very small dense matri...
José R. Herrero, Juan J. Navarro
ICCS
2007
Springer
15 years 3 months ago
Hierarchical-Matrix Preconditioners for Parabolic Optimal Control Problems
Abstract. Hierarchical (H)-matrices approximate full or sparse matrices using a hierarchical data sparse format. The corresponding H-matrix arithmetic reduces the time complexity o...
Suely Oliveira, Fang Yang
ICPP
2009
IEEE
15 years 4 months ago
Perfomance Models for Blocked Sparse Matrix-Vector Multiplication Kernels
—Sparse Matrix-Vector multiplication (SpMV) is a very challenging computational kernel, since its performance depends greatly on both the input matrix and the underlying architec...
Vasileios Karakasis, Georgios I. Goumas, Nectarios...
HPCN
1997
Springer
15 years 1 months ago
Parallel Solution of Irregular, Sparse Matrix Problems Using High Performance Fortran
For regular, sparse, linear systems, like those derived from regular grids, using High Performance Fortran (HPF) for iterative solvers is straightforward. However, for irregular ma...
Eric de Sturler, Damian Loher
PDP
2010
IEEE
15 years 4 months ago
On the Scalability of Hypergraph Models for Sparse Matrix Partitioning
Abstract—We investigate the scalability of the hypergraphbased sparse matrix partitioning methods with respect to the increasing sizes of matrices and number of nonzeros. We prop...
Bora Ucar, Ümit V. Çatalyürek