There is a rich literature devoted to the eigenvalue analysis of variational inequalities. Of special interest is the case in which the constraint set of the variational inequality is a closed convex cone. The set of eigenvalues of a matrix A relative to a closed convex cone K is called the K-spectrum of A. Cardinality and topological results for cone spectra depend on the kind of matrices and cones that are used as ingredients. It is important to distinguish for instance between symmetric and nonsymmetric matrices and, on the other hand, between polyhedral and nonpolyhedral cones. However, more subtle subdivisions are necessary for having a better understanding of the structure of cone spectra. This work elaborates on this issue.

有大量的文献致力于变分不等式的特征值分析。特别令人关注的是变分不等式的约束集是一个封闭的凸锥的情况。相对于闭合凸锥K的矩阵A的特征值集称为A的K谱。锥光谱的基数和拓扑结果取决于用作成分的矩阵和锥的类型。重要的是区分例如对称矩阵和非对称矩阵，另一方面，区分多面体锥和非多面体锥。但是，为了更好地了解圆锥光谱的结构，必须进行更细微的细分。这项工作就此问题进行了详细说明。