低阶几乎惯量任意的可约零-非零模式矩阵

The Nearly Inertially Arbitrary Reducible Zero-Nonzero Patterns of Low Orders

运用分析法和列举法,研究低阶几乎惯量任意的可约零-非零模式矩阵。证明4阶可约零-非零模式不存在几乎惯量任意的情形,给出5阶和6阶可约零-非零模式是几乎惯量任意的一个充分条件,以及关于低阶可约零-非零模式中不可约块的几个推论。

Analysis and enumeration were applied to analyze the reducible zero-nonzero matrix with low order almost inertially arbitrary pattern.We proved that almost inertially arbitrary pattern did not exist in order 4 reducible zero-nonzero pattern and order 5 and 6 reducible zero-nonzero pattern was a sufficient condition for almost inertially arbitrary pattern.Meanwhile,several inferences about irreducible blocks in low order reducible zero-nonzero pattern were derived.