一种新的矩阵平方根的迭代算法

A novel iterative algorithm for square roots of matrix

针对求解二次矩阵方程X2-A=0的约束解问题,提出一种新的迭代算法,并给出该算法在求解二次矩阵方程对称解时的收敛性定理。数值实验证明了算法的有效性。

For solving the constraint solution of the quadratic matrix equation X 2-A=0,an iterative algorithm is proposed. The convergence theorem of the algorithm for solving the symmetric solution of the quadratic matrix equation X 2-A=0 is proved.Numerical experiments illustrate that the algorithm is effective.