Our colloquium series offers a diverse platform for research scholars, faculty, students, and industry experts to share and exchange ideas, fostering discussion and networking across mathematics, statistics, and data science.
Our own Professor Ram Mohapatra will speak at this week's colloquium on "Higher Order Duality and Its Application in Nonlinear Mathematical Programming Problems."
Abstract: Duality plays an important role in solving optimization problems. The duality principle in mathematical programming is a foundational idea that every optimization problem (called the primal problem) can be associated with another related problem called the dual problem. Higher order duality is an extension of the duality principle. In this talk we will define higher order duality and explain the role it plays in the solution of some nonlinear programming problems. All efforts will be made for the talk to be self-contained, so that graduate students and non-specialists can follow the core ideas.
Speaker Bio: Ram Mohapatra is Professor Emeritus at the University of Central Florida, where he served for 41 years. His research interests include approximation theory, topological vector spaces of sequences, summability theory, variational inequalities, differential equations, Fourier analysis, wavelets and frames, and fluid mechanics. In addition to his research, Dr. Mohapatra has been actively involved in teaching and mentoring students and researchers in mathematics, contributing to both undergraduate and graduate education.
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