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Updating the QR decomposition of block tridiagonal and block Hessenberg matrices

✍ Scribed by Martin H. Gutknecht; Thomas Schmelzer


Book ID
108057473
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
216 KB
Volume
58
Category
Article
ISSN
0168-9274

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The polar decomposition of block compani
✍ G. Kalogeropoulos; P. Psarrakos πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 416 KB

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