### Difference of convex functions for eigenvalue problems

- Series
- Applied and Computational Mathematics Seminar
- Time
- Monday, August 8, 2016 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Prof. Yunho Kim – UNIST, Korea

Inspired by the usefulness of difference of convex functions in some problems, e.g. sparse representations, we use such an idea of difference of convex functions to propose a method of finding an eigenfunction of a self-adjointoperator. In a matrix setting, this method always finds an eigenvector of a symmetric matrix corresponding to the smallest eigenvalue without solving Ax=b. In fact, such a matrix A is allowed to be singular, as well. We can apply the same setting to a generalized eigenvalue problem. We will discuss its convergence as well.