On symmetric and skew-symmetric solutions to a procrustes problem

Yuan Bei Deng, Daniel Boley

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Using the projection theorem in a Hilbert space, the quotient singular value decomposition (QSVD) and the canonical correlation decomposition (CCD) in matrix theory for efficient tools, we obtained the explicit analytical expressions of the optimal approximation solutions for the symmetric and skew-symmetric least-squares problems of the linear matrix equation . This can lead to new algorithms to solve such problems.

Original languageEnglish (US)
Title of host publicationNumerical Linear Algebra in Signals, Systems and Control
Pages201-215
Number of pages15
DOIs
StatePublished - 2011
EventInternational Workshop on Numerical Linear Algebra in Signal, Systems, and Control - Kharagpur, India
Duration: Jan 9 2007Jan 11 2007

Publication series

NameLecture Notes in Electrical Engineering
Volume80 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Other

OtherInternational Workshop on Numerical Linear Algebra in Signal, Systems, and Control
Country/TerritoryIndia
CityKharagpur
Period1/9/071/11/07

Bibliographical note

Funding Information:
The author Deng would like to thank the China Scholarship Council for providing the State Scholarship Fund to pursue his research at the University of Minnesota as a visiting scholar. The author Boley would like to acknowledge partial support for this research from NSF grant IIS-0916750.

Keywords

  • CCD
  • Least-squares problem (Procrustes problem)
  • Linear matrix equation
  • Optimal approximation solution
  • QSVD

Fingerprint

Dive into the research topics of 'On symmetric and skew-symmetric solutions to a procrustes problem'. Together they form a unique fingerprint.

Cite this