Gradient flows computing the C-numerical range with applications in NMR spectroscopy
type: Item
instance of: scholarly article
title: Gradient flows computing the C-numerical range with applications in NMR spectroscopy
zbMATH Open document ID: 1016.65026
DOI: 10.1023/A:1016582714251
author: K. Hüper
author: Thomas Schulte-Herbrüggen
author: Uwe Helmke
author: John Moore
published in: Journal of Global Optimization
publication date: 2003-03-23T00:00:00Z
review text: Gradient flows on unitary matrices are studied that maximize the real part of the \(C\)-numerical range of an arbitrary complex \(n\times n\) matrix. A discretization scheme of the gradient flow is presented that converges to the set of critical points of the cost function. A special application is discussed in NMR spectroscopy, where matrices \(C\), \(A\) are nilpotent and the \(C\)-numerical range is a circular disk centered at the origin.
reviewed by: F. Szidarovszky
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 78A45
zbMATH DE Number: 1886662
zbMATH Keywords: \(C\)-numerical range
zbMATH Keywords: optimization
zbMATH Keywords: gradient flows
zbMATH Keywords: discretization
zbMATH Keywords: NMR spectroscopy
zbMATH Keywords: nilpotent matrices
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1886662