文章详细信息 关键词： 矩阵多项式;;特征多项式;;母函数;;矩阵函数 [gap=227]Keywords: matrix polynomial;characteristic polynomial;generating functions;matrix functions
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Polynomial matrix 多项式矩阵
negative power matrix polynomial 负指数矩阵多项式
inverse of a matrix polynomial 矩阵多项式的逆
Matrix polynomial equation 多项式矩阵方程
Minimum matrix polynomial 矩阵最小多项式
matrix polynomial function 矩阵多项式函数
interval matrix polynomial 区间矩阵多项式
homogeneous matrix polynomial 齐次矩阵多项式
self-adjoint matrix polynomial 自伴矩阵多项式
Those new methods are based on Jacobson’s theory and its characteristic structure which make the problem equivalent to a 2 x 2 matrix polynomial equation with diagonalizable solutions.
新方法以四元数的复表示及其可对角化的特征结构为理论基础，将问题等价为求解2×2矩阵多项式的可对角化解；进一步将四元数多项式用四个实系数多项式表示，建立了四元数多项式与一般多项式的直接关联。
参考来源 - 四元数多项式方程解的结构及其因式分解·2,447,543篇论文数据，部分数据来源于NoteExpress
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We also give necessary and sufficient conditions that any solution can be explicitly expressed by matrix polynomial of a.
此外还给出可以用a的多项式来表示方程的解的充要条件。
This paper obtained the following results: a simple solution for the similarity matrix under a similarity transformation is obtained by using a matrix polynomial.
本文得到下列结果：通过应用矩阵多项式，得到一个相似变换下变换矩阵的简便解法。
An expression for the mean and covariance matrix of normal random matrix polynomial is derived by applying the method of matrix differentiation to generating function.
本文应用对母函数微分的方法得到正态随机矩阵多项式的均值与协差阵的表达式。
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