Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642921 | Journal of Computational and Applied Mathematics | 2007 | 10 Pages |
Abstract
As is well known, the n -point Szegö quadrature formula integrates correctly any Laurent polynomial in the subspace span{1/zn-1,…,1/z,1,z,…,zn-1}1/zn-1,…,1/z,1,z,…,zn-1}. In this paper we enlarge this subspace. We prove that a set of 2n2n linearly independent Laurent polynomials are integrated correctly. The obtained result is used for the construction of Szegö quadrature formulas. Illustrative examples are given.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
O. NjÅstad, J.C. Santos-León,