The coefficients of matrix eigenpolynomials can help solve many matrix solving problems.So many literatures have been studied around eigenpolynomial coefficients from a certain aspect.In this study,the coefficient characteristics of the eigenpolynomial are analyzed and summarized from many aspects,and the eigenpolyal coefficients are expressed by the sum of the korder principal and sub-formulas of the matrix,the eigenvalue of the matrix,the trace of the matrix product and the trace of the matrix A,some regular conclu-sions are drawn,and the Newtonian power sum formula,which is closely related to the eigenpolynomial coeffi-cient is proved.
关键词
特征多项式系数/k阶主子式/特征值/牛顿等幂和公式/迹
Key words
eigenpolynomial coefficients/k Order-master-sub formula/characteristic roots/Newton's idempotent sum formula/trace
维普
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