一种新的矩阵平方根的迭代算法
일충신적구진평방근적질대산법
A novel iterative algorithm for square roots of matrix
  • 万方数据
    桂林电子科技大学学报 계림전자과기대학학보
    JOURNAL OF GUILIN UNIVERSITY OF ELECTRONIC TECHNOLOGY
    2014年 1期 60-64 ,共5页

    杨壮%彭振赟%牟继萍

    양장%팽진빈%모계평

    二次矩阵方程%迭代算法%收敛性 二次矩陣方程%迭代算法%收斂性
    이차구진방정%질대산법%수렴성
    quadratic matrix equation%iterative algorithm%convergence
    针对求解二次矩阵方程X 2-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。
    침대구해이차구진방정X 2-A=0적약속해문제，제출일충신적질대산법，병급출해산법재구해이차구진방정대칭해시적수렴성정리。수치실험증명료산법적유효성。
    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.
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