対称行列の添字の置換による同値性判定の試み

Abstract

For two numerically given real symmetric matrices, we derive a procedure that determines whether there exists a symmetric index substitution that transforms one matrix into the other and explicitly returns it if such a substitution exists. To make such a procedure efficient, we use the eigenvalue decomposition of a real symmetric matrix. There are some unfortunate cases where the current procedure cannot reach a decision. Some experimental results are presented.