广义奇偶全正矩阵
Generalized even and odd totally positive matrices
摘要：
本文给出了基于锥理论的振动矩阵定义的一个推广。证明了广义振动矩阵所有特征值的正性和简单性。引入了广义偶振动矩阵和广义奇振动矩阵类。研究了所得矩阵的谱性质。给出了广义偶振动和奇振动的准则。给出了广义偶、奇振动矩阵的例子。
英文摘要：
A generalization of the definition of an oscillatory matrix based on the theory of cones is given in this paper. The positivity and simplicity of all the eigenvalues of a generalized oscillatory matrix are proved. The classes of generalized even and odd oscillatory matrices are introduced. Spectral properties of the obtained matrices are studied. Criteria of generalized even and odd oscillation are given. Examples of generalized even and odd oscillatory matrices are presented.
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