Computer Science NASC Seminar

Continuous Analogues of Matrix Factorizations

Alex Townsend, University of Oxford

October 04, 2013 10:00AM
Warren Weaver Hall, Room 1302
251 Mercer Street
New York, NY, 10012-1110

Fall 2013 NASC Seminars Calendar


Often for the purposes of computations we work with discretizations
of continuous objects, but conceptually it is usually the continuous framework
that has a physical interpretation. In this talk we ask the question: What are the
continuous analogues of matrix factorisations? The answer we develop involves
bivariate functions and an iterative variant of Gaussian elimination, leading to
a test for a non-negative definite kernel and a definition for a triangular
quasimatrix (a matrix whose columns are functions).

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