一类区间对角占优矩阵

A class of interval diagonal dominance matrices

本文应用比较矩阵定义了区间对角占优、不可约区间对角占优、具有非零元素链区间对角占优及半强区间对角占优等区间矩阵。讨论了它们的性质及其与区间H矩阵之间的相互关系。同时还给出了一个区间矩阵为H矩阵的几个有用的充要判别准则。

Using comparison matrix and matrix techniques, we define matrices with intervalstrong diagonal dominance, irredicable interval diagonal dominance, interval diagonaldominance with non-zero element chain and semi-strong interval diagonal dominance,etc. Their properties and relations with interval H-matrix are discussed, with some necessa-ry and sufficient criteria for interval H-matrix also given.