Event Title

Some New Majorization Inequalities for Matrices

Description

Inequalities have been a major mathematical research area. They have various applications in pure and applied mathematics. Majorization is one of the most powerful techniques for deriving inequalities. Many interesting and powerful results about eigenvalues, singular values, and norms of matrices were obtained using majorization. It is applied in fields such as optimization, signal processing, wireless communications, and quantum information theory. In this presentation, Türkmen will provide some basic definitions and fundamental results about matrices and majorization. He will also present some new results concerning partitioned positive semidefinite matrices.

Presenter Bio

Ramazan Turkmen has a Ph.D. and teaches at Selcuk University

Date of Event

April 18, 2012 12 - 1:00 PM

Location

Mailman-Hollywood Building, Room 309, 3301 College Ave., Fort Lauderdale (main campus)

NSU News Release Link

http://nsunews.nova.edu/learn-matrices-majorization-upcoming-math-colloquium-talk/

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Apr 18th, 12:00 PM Apr 18th, 1:00 PM

Some New Majorization Inequalities for Matrices

Mailman-Hollywood Building, Room 309, 3301 College Ave., Fort Lauderdale (main campus)

Inequalities have been a major mathematical research area. They have various applications in pure and applied mathematics. Majorization is one of the most powerful techniques for deriving inequalities. Many interesting and powerful results about eigenvalues, singular values, and norms of matrices were obtained using majorization. It is applied in fields such as optimization, signal processing, wireless communications, and quantum information theory. In this presentation, Türkmen will provide some basic definitions and fundamental results about matrices and majorization. He will also present some new results concerning partitioned positive semidefinite matrices.

https://nsuworks.nova.edu/mathematics_colloquium/ay_2011-2012/events/2