定理1( Rayleigh-Rtz): 设A∈CM为 ermita矩阵,则 (1)anr xsx Axsmxx (vrec (2)Amax =n1= max r(x)=max x Ax x≠0 H (3)amin =an=min R(x)=min x Ax x≠0 H返回 定理1(Rayleigh-Ritz): 设 AC nn 为Hermite矩阵，则 (1) ( ) 1 H H H n n x x  x Ax   x x  x C R x x Ax H x x x H 0 1 (2) max 1 max ( ) max  =  =  = = R x x Ax H x x x n H 0 1 (3) min min ( ) min  =  =  = =