摘要
利用文［２］的公式引入ｎ阶矩阵和ｎ次多项式的谱函数集和谱矩阵集的概念．得到了任何ｎ－１次多项式都可由谱函数集的元素线性表示及矩阵函数由谱矩阵集的元素线性表示的公式。作为具体应用．给出了矩阵的ｍ次方根和常系数齐线性微分方程组的标准解矩阵用谱矩阵集元素线性表示的实用公式。
Using the formulas gave in [2], we introduce the concepts: spectral function set of polynomical degreen and spectral matrix set of matrix of order n. we obtained the formulas for any polynomical of degree n-1 which can be linear represeated by the elements of the spectral function set and for any matrix function which can be linear represented by the elements of the spectral matrix set.Being an application, we give practical formulas which can linear represent the root of degree m to matrix and the standard solution matrix to x’=Ax with the elements of the spectral matrix set.
出处
《广西师院学报（自然科学版）》
1996年第1期11-16,共6页
Journal of Guangxi Teachers College(Natural Science Edition)
