LAPACK's user's guide
Numerical Linear Algebra for High Performance Computers
Numerical Linear Algebra for High Performance Computers
An Algorithm-by-Blocks for SuperMatrix Band Cholesky Factorization
High Performance Computing for Computational Science - VECPAR 2008
Parallel solution of band linear systems in model reduction
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
Toward GPU accelerated topology optimization on unstructured meshes
Structural and Multidisciplinary Optimization
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In this paper we present two routines for the Cholesky factorization of band matrices that target (parallel) SMP architectures and expose coarser-grain parallelism than their LAPACK counterpart. Experimental results on two different parallel platforms show the benefits of the new approaches.