Matlab帮助文档
help mpower
^ Matrix power.
Z = X^y is X to the y power if y is a scalar and X is square. If y
is an integer greater than one, the power is computed by repeated
squaring. For other values of y the calculation involves
eigenvalues and eigenvectors.
Z = x^Y is x to the Y power if Y is a square matrix and x is a scalar.
Computed using eigenvalues and eigenvectors.
Z = X^Y, where both X and Y are matrices, is an error.
C = MPOWER(A,B) is called for the syntax ‘A ^ B’ when A or B is an
object.
See also power.矩阵幂运算
Z = X^y，这里X是矩阵y是标量。如果y是一个比0大的整数，幂运算表示相同矩阵乘积，如果y取其他值，需要计算特征值和特征向量
Z = x^Y，这里Y是矩阵x是标量。使用特征值和特征向量进行计算
Z = X^Y，X和Y都是矩阵时，不能运算
简单的说，矩阵幂运算只能计算两种情况，矩阵的数次幂和数的矩阵次幂。前一种高等数学高等代数里面定义过了，后一种是Matlab自己定义的</