Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602236 | Linear Algebra and its Applications | 2008 | 14 Pages |
Abstract
In this paper, we consider the problem of maximizing the coupling between the isometric projections of two square matrices of dimensions m and n. This coupling is defined as an inner product between the matrices. This is a non-convex optimization problem with isometry constraints on the variables. The optimization set is an equinormed set and we develop a gradient-type algorithm to solve the problem. Numerical experiments and an application to graph matching are also presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory