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Computational Science Seminar

When: Tuesday, April 21, 2015
3:30 PM - 4:30 PM
Where: Textiles Building 105
Description: The Center for Scientific Computing and Visualization Research announces the following seminar.

Speaker: Alex Townsend (MIT)
Title: "Continuous Analogues of Matrix Factorizations"
Time: Tuesday, April 21, 2015, 3:30pm-4:30pm
Location: Textiles 105

Abstract: A fundamental idea in matrix linear algebra is the factorization of a matrix into simpler matrices, such as orthogonal, tridiagonal, and triangular. In this talk we extend this idea to a continuous setting, asking: "What are the continuous analogues of matrix factorizations?" The answer we develop involves functions of two variables, an iterative variant of Gaussian elimination, and sufficient conditions for convergence. This leads to a test for non-negative definite kernels, a continuous definition of a triangular quasimatrix (a matrix whose columns are functions), and a fresh perspective on a classic subject.

For additional information, see the CSCVR website, or contact Akil Narayan at akil.narayan@umassd.edu or 508-999-8318.
Contact: Center for Scientific Computing and Visualization Research
Topical Areas: General Public, University Community