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- W4375852425 abstract "The orthogonal matrix with cube be symmetric is a common class of matrices with important properties. We pay attention to this kind of matrices. By using the close relationship between the eigenvalues of a matrix and the trace of its power, we obtain the algorithm for its all possible different eigenvalues and multiplicities. The calculation formula is expressed only by the trace of a matrix and its power, avoiding solving the characteristic polynomial. The method is simple and practical. Furthermore, a new essential characterization for the sum of orthogonal matrix pairs being orthogonal is given as well." @default.
- W4375852425 created "2023-05-10" @default.
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- W4375852425 date "2023-05-08" @default.
- W4375852425 modified "2023-09-29" @default.
- W4375852425 title "The Spectrum of the Orthogonal Matrix with its Cube be Symmetric" @default.
- W4375852425 doi "https://doi.org/10.20944/preprints202305.0434.v1" @default.
- W4375852425 hasPublicationYear "2023" @default.
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