H Gopalkrishna Gadiyar et al 2003 J. Phys. A: Math. Gen. 36 L109 doi:10.1088/0305-4470/36/7/103
H Gopalkrishna Gadiyar1, K M Sangeeta Maini1, R Padma1 and H S Sharatchandra2
Show affiliationsThe entropy of an orthogonal matrix is defined. It provides a new interpretation of Hadamard matrices as those that saturate the bound for entropy. It appears to be a useful Morse function on the group manifold. It has sharp maximum and other saddle points. The matrices corresponding to the maxima for three and five dimensions are presented. They are integer matrices (up to a rescaling).
Issue 7 (21 February 2003)
Received 25 October 2002
Published 5 February 2003
H Gopalkrishna Gadiyar et al 2003 J. Phys. A: Math. Gen. 36 L109
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