A Kronecker product representation of the fast Gauss transform


Journal Article

We present a matrix representation for the fast Gauss transform (FGT) originally proposed by Greengard and Strain. With the matrix representation we reveal the matrix structures explored and exploited in the FGT, relate the multidimensional FGT to the one-dimensional FGT via Kronecker products, and unify various FGT versions. Based on the unifying representation, we present also a framework of FGT algorithms that demonstrates an algorithmic approach to utilizing the revealed matrix factor structures and suggests computational varieties for adapting the FGT to architecture specifics as well as application specifics to achieve optimal performance.

Full Text

Duke Authors

Cited Authors

  • Sun, X; Bao, Y

Published Date

  • January 1, 2003

Published In

Volume / Issue

  • 24 / 3

Start / End Page

  • 768 - 786

International Standard Serial Number (ISSN)

  • 0895-4798

Digital Object Identifier (DOI)

  • 10.1137/S0895479800380374

Citation Source

  • Scopus