Lanczos Approach to the Inverse Square Root of a Large and Sparse Matrix

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Expanded abstract, introduction and conclusions. References added

Scientific paper

10.1006/jcph.2000.6529

I construct a Lanczos process on a large and sparse matrix and use the
results of this iteration to compute the inverse square root of the same
matrix. The algorithm is a stable version of an earlier proposal by the author.
It can be used for problems related to the matrix sign and polar decomposition.
The application here comes from the theory of chiral fermions on the lattice.

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