论文标题

如何检测和构建N-矩阵

How to Detect and Construct N-matrices

论文作者

Choudhury, Projesh Nath, Tsatsomeros, Michael J.

论文摘要

n-矩阵是真正的$ n \ times n $矩阵,其主要未成年人都是负面的。我们提供(i)$ O(2^n)$测试,以检测给定矩阵是否为n-matrix,以及(ii)n-矩阵的表征,从而导致每个N- matrix的递归结构。

N-matrices are real $n\times n$ matrices all of whose principal minors are negative. We provide (i) an $O(2^n)$ test to detect whether or not a given matrix is an N-matrix, and (ii) a characterization of N-matrices, leading to the recursive construction of every N-matrix.

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