2001Journal of Northeast Normal UniversityRequires access

ON THE SUB-UNITARY MATRIX AND THE SUB-MIRROR-IMAGE MATRIX

Yuan Hui

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Abstract

An introduction to conjugate sub-transpose matrix, sub-unitary matrix, sub-mirror-image matrix and their properties are represented, and relation between sub-unitary matrix, sub-Hermite matrix and sub-anti-Hermite matrix is studied. The orthogonal matrix's Gayley decomposition is extended into sub-unitary matrix fields.

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An introduction to conjugate sub-transpose matrix, sub-unitary matrix, sub-mirror-image matrix and their properties are represented, and relation between sub-unitary matrix, sub-Hermite matrix and sub-anti-Hermite matrix is studied. The orthogonal matrix's Gayley decomposition is extended into sub-unitary matrix fields.

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Available abstract

An introduction to conjugate sub-transpose matrix, sub-unitary matrix, sub-mirror-image matrix and their properties are represented, and relation between sub-unitary matrix, sub-Hermite matrix and sub-anti-Hermite matrix is studied. The orthogonal matrix's Gayley decomposition is extended into sub-unitary matrix fields.

Key concepts: Unitary matrix, Hollow matrix, Matrix (chemical analysis), Mathematics, Transpose, Single-entry matrix, Square matrix, Orthogonal matrix

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