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Accurate and efficient evaluation of Schur and Jack functions
Authors:James Demmel   Plamen Koev.
Affiliation: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 $n$.

Keywords:Schur function   Jack function   zonal polynomial   high relative accuracy
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