The estimation of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra (Q924373)

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scientific article; zbMATH DE number 5275782
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The estimation of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra
scientific article; zbMATH DE number 5275782

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    The estimation of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra (English)
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    15 May 2008
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    The authors work out some quaternion algebra problems theoretically; they get a pair of inequalities about the eigenvalues of sum and difference of self-conjugate quaternion matrices and establish the form of the Brauer theorem and the Cassini theorem over a quaternion division algebra.
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    eigenvalue inequalities
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    Brauer theorem
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    Cassini theorem
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    quaternion division algebra
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    self-conjugate quaternion matrices
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    tensor product
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