正P-矩阵的逆零完成问题(英文)

Positive P-matrices Completion Problem With Zeros in the Inverse Completion

本文基于不完备P-矩阵的1-通弦图和1-通弦块图的完成问题,获得了不完备正P-矩阵在一定条件下的k-通弦图和k-通弦块图的完成,同时解决了不完备正P-矩阵在k-通弦图和k-通弦块图下的逆零完成问题(k为大于1的整数).

In this paper,based on the completion problem of partial P-matrix for 1- chordal graph,we obtain the partial positive P-matrix completions of k-chordal graphs and k-chordal block graphs under some conditions and solve partial positive P-matrix completion problems with zeros in the inverse completion for k-chordal graphs and k-chordal block graphs （k≥2）.