Solving Linear Programs in the Current Matrix Multiplication Time

Loading...
Thumbnail Image
Author(s)
Lee, Yin Tat
Advisor(s)
Editor(s)
Associated Organization(s)
Organizational Unit
Series
Series
Collections
Supplementary to:
Abstract
We show how to solve linear programs with accuracy epsilon in time n^{omega+o(1)} log(1/epsilon) where omega~2.3728639 is the current matrix multiplication constant. This hits a natural barrier of solving linear programs since linear systems is a special case of linear programs and solving linear systems require time n^{omega} currently. Joint work with Michael B. Cohen and Zhao Song.
Sponsor
Date
2019-05-20
Extent
59:18 minutes
Resource Type
Moving Image
Resource Subtype
Lecture
Rights Statement
Rights URI