On symmetric and skew-symmetric solutions to a procrustes problem

Yuan Bei Deng, Daniel L 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 - Jun 1 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
CountryIndia
CityKharagpur
Period1/9/071/11/07

Keywords

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

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