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On the elgenvectors of Schur's matrix

✍ Scribed by Patrick Morton


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
220 KB
Volume
12
Category
Article
ISSN
0022-314X

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The Schur algorithm for generalized Schu
✍ Daniel Alpay; Tomas Azizov; Aad Dijksma; Heinz Langer πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 252 KB

The main result is that for J = 1 0 0 -1 every J -unitary 2 Γ— 2-matrix polynomial on the unit circle is an essentially unique product of elementary J -unitary 2 Γ— 2-matrix polynomials which are either of degree 1 or 2k. This is shown by means of the generalized Schur transformation introduced in [