H-Matrix and Block Error Tolerances

Details H-Matrix and Block Error Tolerances H-Matrix and Block Error Tolerances

2011-10-12

arxiv.org/abs/1110.2807v1

Mathematics

Numerical Analysis

Scientific paper

We describe a new method to map the requested error tolerance on an H-matrix
approximation to the block error tolerances. Numerical experiments show that
the method produces more efficient approximations than the standard method for
kernels having singularity order greater than one, often by factors of 1.5 to 5
and at a lower computational cost.

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