几种特殊形式的逆M矩阵完备

The Completion Problems for Several Special Partial Inverse M-matrices

针对具有实际意义的三种特殊形式的部分矩阵:不含已知路径的非团图对应的矩阵、框形矩阵和三对角线部分矩阵讨论它们的逆M矩阵完备问题,利用有向图的理论和逆M矩阵的性质分别给出其完备定理和求其完备式的具体算法.

Inverse M-matrices have wide application. In this paper, the completion problems for three special partial inverse M-matrices are discussed: the partial matrix whose graph is acyclic without specified paths, the quadrate partial matrix and the tridiagonal partial inverse M-matrix. By using the diagraph theory and the properties of inverse M-matrices, their completion theorems and the corresponding completion algorithms are given.