𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Schur-Parlett Algorithm for Computing Matrix Functions

✍ Scribed by Davies, Philip I.; Higham, Nicholas J.

Book ID
118216980
Publisher
Society for Industrial and Applied Mathematics
Year
2003
Tongue
English
Weight
252 KB
Volume
25
Category
Article
ISSN
0895-4798

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

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