The determinant of the sum of two normal matrices with prescribed eigenvalues

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Abstract

Given complex numbers α1,...,αn, β1,...,βn, what can we say about the determinant of A+B, where A (B) is an n×n normal matrix with eigenvalues α1,...,αn(β1,...,βn)? Some partial answers are offered to this question. © 1985.

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Bebiano, N., & Queiró, J. F. (1985). The determinant of the sum of two normal matrices with prescribed eigenvalues. Linear Algebra and Its Applications, 71(C), 23–28. https://doi.org/10.1016/0024-3795(85)90231-9

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