Fast Evaluation of Zolotarev Coefficients

Details Fast Evaluation of Zolotarev Coefficients Fast Evaluation of Zolotarev Coefficients

2004-02-27

arxiv.org/abs/hep-lat/0402038v4

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 2 figures. Made various minor corrections

Scientific paper

We review the theory of elliptic functions leading to Zolotarev's formula for the sign function over the range (\epsilon \leq|x| \leq1). We show how Gauss' arithmetico-geometric mean allows us to evaluate elliptic functions cheaply, and thus to compute Zolotarev coefficients ``on the fly'' as a function of (\epsilon). This in turn allows us to calculate the matrix functions (\sgn H), (\sqrt H), and (1/\sqrt H) both quickly and accurately for any Hermitian matrix (H) whose spectrum lies in the specified range.

Affiliated with

Also associated with

No associations

Rating

Fast Evaluation of Zolotarev Coefficients does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fast Evaluation of Zolotarev Coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fast Evaluation of Zolotarev Coefficients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-294194