Mathematical Problems in Engineering 
Volume 2004 (2004), Issue 1, Pages 49-61
doi:10.1155/S1024123X04307027

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

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

 1WINLAB, Rutgers University, 73 Brett Road, Piscataway 08854-8058, NJ, USA
2Department of Electrical Engineering, University of Texas at San Antonio, 6900 North Loop 1604 West, San Antonio 78249-0669, TX, USA
Received 5 July 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.