کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602236 1631168 2008 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A gradient-type algorithm optimizing the coupling between matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A gradient-type algorithm optimizing the coupling between matrices
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issues 5–6, 1 September 2008, Pages 1229-1242