Semi-involutory matrices and signed self-inverse

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Semi-involutory matrices and signed self-inverse

Cheon, Gi-Sang; Curtis, Bryan; Kim, Hana

Linear algebra and its applications, 08/2021, Volume: 622

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In this paper three new classes of matrices that have a computationally simple inverse are studied. Specifically, semi-involutory matrices are characterized for small orders and many interesting results are provided. Semi-involutory matrices can be thought of as a generalization of involutory matrices. In addition, signed semi-involutory matrices are studied and a natural generalization is introduced.

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Cheon, Gi-Sang | Curtis, Bryan | Kim, Hana

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