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ChebyshevExpansion

于 2010-12-24 发布 文件大小:1KB
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  给定一个普通多项式p(x),用列向量表示,阶次从高到低排列,此函数返回p(x)的切比雪夫多项式展开的系数,返回的的结果也是一个列向量,同样按切比雪夫多项式的阶次从高到低排列 另外该函数用cos(x)项傅里叶级数展开一个多项式( ChebyshevExpansion.m by David Terr, Raytheon, 5-26-04 Given a polynomial f(x) of degree n expressed as a row vector of coefficients of x^k with highest power on the left, expand f(x) as a sum of scalar multiples of Chebyshev polynomials, i.e. return the column vector of coefficients a_k with k running from n to 0 from top to bottom such that f(x) = sum_{k=0}^n{a_k P_k(x)}.)

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