Title of article
Real matrix homotopies based on Householder reflections
Author/Authors
Stephen E. Wright، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
8
From page
538
To page
545
Abstract
Anexplicithomotopyisconstructedbetweentheidentitymatrixandanarbitraryrealmatrixwithpositivedeterminant.Theconstructionrequiresnoeigenvalueinformationandyieldsasmoothparameterizationforwhichthematrixdeterminantremainspositiveandvariesas a monotonic or unimodal function of the parameter. The key idea of the construction is that a simple formula smoothly transforms any product of two Householder reflections to the identity.
Keywords
Matrix factorization , Smooth parameterization , Householder reflection
Journal title
Linear Algebra and its Applications
Serial Year
2006
Journal title
Linear Algebra and its Applications
Record number
825038
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