Maximizing the determinant for a special class of block-partitioned matrices

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Abstract

An analytical solution is found for the maximum determinant of a block-partitioned class of matrices with constant trace for each block. As an immediate application of this result, the maximum determinant of a sum of Kronecker products is derived.

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Popescu, O., Rose, C., & Popescu, D. C. (2004). Maximizing the determinant for a special class of block-partitioned matrices. Mathematical Problems in Engineering, 2004(1), 49–61. https://doi.org/10.1155/S1024123X04307027

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