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Singular value decomposition of multi-companion matrices

โœ Scribed by Georgi N. Boshnakov

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
168 KB
Volume
424
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

We obtain the singular value decomposition of multi-companion matrices. We completely characterise the columns of the matrix U and give a simple formula for obtaining the columns of the other unitary matrix, V, from the columns of U. We also obtain necessary and sufficient conditions for the related matrix polynomial to be hyperbolic.

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