摘要
本文对特征值在复平面上任意一边界线过原点的半平面上的矩阵,给出级数形式的方根公式,这种公式用矩阵本身直接表达其方根。作为特例,我们得到了正定矩阵的正定 p 次方根的直接求法。
For the matrices which have eigenvalues on a half plane with any boundary passing through the origin,a formula of roots in series isgiven,The formula expresses the roots of a matrix directly by thematri itself.As a special case,a direct method for finding theSymmetric positive definite matrix is given.
