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An elementary approach to the matricial Nevanlinna–Pick interpolation criterion
Published online by Cambridge University Press: 20 January 2009
Extract
The matricial Nevanlinna–Pick interpolation criterion determines when there is an analytic matrix contraction valued function on the complex unit disc which assumes preassigned n × n matrix values w1,…,wm at preassigned interpolation points z1,…,zm. Taking ∥wi∥ < 1, for i = 1,…,m, the necessary and sufficient condition is the positivity of the nm × nm matricial Pick matrix,
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 32 , Issue 1 , February 1989 , pp. 121 - 126
- Copyright
- Copyright © Edinburgh Mathematical Society 1989
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