概循环矩阵的判据及其行列式

为了刻画具有阶跃特征的概周期现象,建立的概循环矩阵概念是继泛循环矩阵之后,对循环矩阵的第二次推广。前者侧重刻划了离散的多重周期现象,解决了它们的表示方法,揭示了泛循环矩阵的若干本质特征。而这里的概循环矩阵则是侧重刻划离散的具有阶跃特征的近似周期现象,解决了它们的表示方法,建立了概循环矩阵的简明判椐和以特征根为着力点的行列式计算公式。上述实践似可为精细刻划离散的周期性大系统提供可借鉴性经验和构建理论储备。

Criterion and determinant of probable cycle matrix

The concept of the probable cycle matrix which this article established is the second promotion for the cycle matrix after the pan-cycle matrix.The former focuses on portraying the multi-cycle phenomenon of the discreteness,solving their representation and revealing their tool--several essential characteristics of pan-cycle matrix.While the probable cycle matrix focuses on portraying approximate cyclical phenomenon of discreteness which has the step features,solving their representation and establishing their tool--the concise criterion and the formula for calculating the determinant based on a characteristic root as a focal point.The above practice might provide the model experience and theoretical basis for portraying discrete periodic big system precisely.