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