四阶不可约零-非零模式的一个精细惯量临界集

A critical set of refined inertias for irreducible zero-nonzero pattern of order 4

Kim等在2009年给出了四阶不可约零-非零模式的一个极小惯量临界集。结合四阶不可约零-非零模式惯量任意性与精细惯量任意性的关系,给出并验证了四阶不可约零-非零模式的一个精细惯量临界集,得出集合S作为四阶不可约零-非零模式精细惯量临界集的一个必要条件。

A critical set of inertias for irreducible zero-nonzero pattern of order 4 is given by Kim et al in paper [ Linear and Multilinear Algebra, 2009, 57 （3） ： 293 - 306 ]. By means of the relationships be- tween inertially arbitrariness and refined inertially arbitrariness for irreducible zero-nonzero pattern of or- der 4, a critical set of refined inertias for irreducible zero-nonzero pattern of order 4 is identified, a nec- essary condition is also presented for a sets to be a critical set of refined inertias for irreducible zero-non- zero oattern of order 4.