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

Popescu, Otilia; Rose, Christopher; Popescu, Dimitrie C.

doi:https://doi.org/10.1155/S1024123X04307027

Mathematical Problems in Engineering

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Volume 2004 | Article ID 876436 | https://doi.org/10.1155/S1024123X04307027

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

Otilia Popescu,¹Christopher Rose,¹and Dimitrie C. Popescu²

Received05 Jul 2003

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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Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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