Article ID Journal Published Year Pages File Type
4602236 Linear Algebra and its Applications 2008 14 Pages PDF
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