Gram mates, sign changes in singular values, and isomorphism

نویسندگان

چکیده

We study distinct (0,1) matrices A and B, called Gram mates, such that AAT=BBT ATA=BTB. characterize mates where one can be obtained from the other by changing signs of some positive singular values. classify rank their difference is at most 2. Among we further produce equivalent conditions in order 2 Moreover, provide tools for constructing more than Finally, non-isomorphic whose 1 with extra conditions.

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2022

ISSN: ['1873-1856', '0024-3795']

DOI: https://doi.org/10.1016/j.laa.2022.03.001