The Schur algorithm for generalized Schur functions III: J-unitary matrix polynomials on the circle

✍ Scribed by Daniel Alpay; Tomas Azizov; Aad Dijksma; Heinz Langer

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 252 KB
• Volume: 369
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(02)00734-6

✦ Synopsis

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