State-of-The-Art Sparse Direct Solvers
- Bollhoefer, Matthias; Schenk, Olaf; Janalík, Radim; Hamm, Steven; Gullapalli, Kiran
- n this chapter we will give an insight into the development of modern sparse elimination methods. These are driven by a preprocessing phase based on combinatorial algorithms which improve diagonal dominance, reduce fill-in, and improve concurrency to allow for parallel treatment. Moreover, these methods detect dense submatrices which can be handled by dense matrix kernels based on multithreaded level-3 BLAS. We will demonstrate how recent improvements in developing advanced direct solution methods have enabled speeding up parallel circuit simulation without sacrificing accuracy.
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