Title of article :
The polar decomposition of block companion matrices
Author/Authors :
K. G. Arvanitis and G. Kalogeropoulos، نويسنده , , P. Psarrakos، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2005
Abstract :
Let L(λ) = Inλm + Am−1λm−1 + …+A1λ + A0 be an n × n monic matrix polynomial, and let CL be the corresponding block companion matrix. In this note, we extend a known result on scalar polynomials to obtain a formula for the polar decomposition of CL when the matrices A0 and Σj=1m−1 AjA*j are nonsingular.
Keywords :
Singular value , Polar decomposition , Block companion matrix , Matrix polynomial , Eigenvalue
Journal title :
Computers and Mathematics with Applications
Journal title :
Computers and Mathematics with Applications
