Accurate and efficient evaluation of Schur and Jack functions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Accurate and efficient evaluation of Schur and Jack functions

Authors:	James Demmel Plamen Koev

Institution:	Department of Mathematics and Computer Science Division, University of California, Berkeley, California 94720 ; Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Abstract:	We present new algorithms for computing the values of the Schur $s_\lambda(x_1,x_2,\ldots,x_n)$ and Jack $J_\lambda^\alpha(x_1,x_2,\ldots,x_n)$ functions in floating point arithmetic. These algorithms deliver guaranteed high relative accuracy for positive data ( $x_i, \alpha>0$ ) and run in time that is only linear in .

Keywords:	Schur function Jack function zonal polynomial high relative accuracy

	点击此处可从《Mathematics of Computation》浏览原始摘要信息
	点击此处可从《Mathematics of Computation》下载免费的PDF全文