) 中图学技术大荸学系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 对应于Φ=P(x)=spm{1,x,x2,…x"} XX x,)≠0 0≤j<i≤n Vandermonde行列式 病态数 学 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS ( ) {1, , , } n 2 n 对应于  =  x = span x x x 则 ( ) 0 0 1 0 0 1 1 0 1 n n i j j i n n n n x x x x x x x x    = −   Vandermonde行列式 病态