The polar decomposition of block companion matrices

✍ Scribed by G. Kalogeropoulos; P. Psarrakos

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 416 KB
• Volume: 50
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2005.02.014

✦ Synopsis

InAm+Am-l~m-l+ +AIA+A0 be an n xn monic matrix polynomial, and let CL be the correspondmg block compamon matrLx In this note, we extend a known result on scalar polynomials to obtain a formula for the polar decomposition of CL when the matrmes A0 and ~-~=~1 A3A; are nonsmgular