Optimization of the Entropy Defined for an Orthogonal Matrix

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Optimization of the Entropy Defined for an Orthogonal Matrix

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dc.contributor Arasu, K. T.
dc.contributor.author Pathak, Akhilesh
dc.coverage.temporal 2011 en_US
dc.date.accessioned 2011-06-08T19:08:56Z
dc.date.available 2011-06-08T19:08:56Z
dc.date.created 2011-04
dc.date.issued 2011-04
dc.identifier.other celebration_abstract11_pathak_a
dc.identifier.uri http://hdl.handle.net/2374.WSU/4621
dc.description.abstract

The optimization bounds for the Shanon's entropy of an orthogonal matrix have been found for various classes of orthogonal matrices. It has been proved that in the cases when a Hadamard matrix exists, the entropy achieves it's maximum value. For other various cases in which Hadamard matrix does not exist, sharper bounds on the entropy has been found. A general proof for the optimization in case of other equivalent definitions of entropy has been produced.

This presentation occurred at the Wright State University Campus-Wide Celebration of Research, Scholarship and Creative Activities on April 8, 2011

dc.language.iso en_US en_US
dc.publisher Wright State University en_US
dc.relation.ispartof Celebration of Research, Scholarship, and Creative Activities en_US
dc.rights.uri http://www.wright.edu/web/copyright.html
dc.subject Arasu, K. T. en_US
dc.subject Pathak, Akhilesh en_US
dc.subject Wright State University. Department of Mathematics and Statistics en_US
dc.title Optimization of the Entropy Defined for an Orthogonal Matrix en_US
dc.type Presentation en_US
dc.permissions World
dc.publisher.digital Digital Services Department, Wright State University Libraries en_US
dc.date.digitized 2011-04
dc.publisher.OLinstitution Wright State University

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