一种计算r-循环矩阵平方根的新算法
일충계산r-순배구진평방근적신산법
A New Algorithm to Compute the Square Roots of r-circulant Matrices
  • 万方数据
    宁波大学学报：理工版 저파대학학보：리공판
    Journal of Ningbo University(Natural Science and Engineering Edition)
    2012年 3期 35-37,96 ,共4页

    高瑜%祝小雯%岑建苗

    고유%축소문%잠건묘

    r-循环矩阵%主平方根%简化形式%Schur分解 r-循環矩陣%主平方根%簡化形式%Schur分解
    r-순배구진%주평방근%간화형식%Schur분해
    r-circulant matrices%primary square root%reduced form%Schur decomposition
    研究了r-循环矩阵的简化形式，提出了一种计算r-循环矩阵平方根的新算法，该方法无需计算r-循环矩阵的特征值，计算时只需要矩阵乘法的迭代．
    연구료r-순배구진적간화형식，제출료일충계산r-순배구진평방근적신산법，해방법무수계산r-순배구진적특정치，계산시지수요구진승법적질대．
    A simplified form of r-circulant matrices is investigated, and a new algorithm to compute the square roots of r-circulant matrices is obtained using the properties of r-circulant matrices. In stead of calculating the eigenvalues of the r-circulant matrices, the proposed method only needs inter-matrix multiplication in its iterative sequence.
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