Optimization Online


On Procrustes matching of non-negative matrices and an application to random tomography

Christian Rau(christianrau080***at***gmail.com)

Abstract: We consider a Procrustes matching problem for non-negative matrices that arose in random tomography. As an alternative to the Frobenius distance, we propose an alternative non-symmetric distance using generalized inverses. Among its advantages is that it leads to a relatively simple quadratic function that can be optimized with least-square methods on manifolds.

Keywords: Brockett cost function; generalized inverses; least-square methods on manifolds; Procrustes methods; random tomography

Category 1: Applications -- Science and Engineering (Biomedical Applications )

Category 2: Applications -- Science and Engineering (Statistics )

Citation: Accepted for publication in Linear and Multilinear Algebra, published online on 03 February 2017

Download: [PDF]

Entry Submitted: 03/19/2017
Entry Accepted: 03/19/2017
Entry Last Modified: 03/19/2017

Modify/Update this entry

  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository


Coordinator's Board
Classification Scheme
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society