Skip to search formSkip to main content
You are currently offline. Some features of the site may not work correctly.

Nevanlinna–Pick interpolation

Known as: Pick matrix, Pick-Nevanlinna problem, Nevanlinna-pick problem 
In complex analysis, given initial data consisting of points in the complex unit disc and target data consisting of points in , the Nevanlinna–Pick… Expand
Wikipedia

Related topics

Related topics

6 relations
Bode plotHilbert spaceList of numerical analysis topicsRobust control
Expand

Broader (1)

Interpolation

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2003
Highly Cited
2003
Matrix-valued Nevanlinna-Pick interpolation with complexity constraint: an optimization approach
Over the last several years, a new theory of Nevanlinna-Pick interpolation with complexity constraint has been developed for… Expand
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • table 1
Is this relevant?
Highly Cited
2001
Highly Cited
2001
A generalized entropy criterion for Nevanlinna-Pick interpolation with degree constraint
We present a generalized entropy criterion for solving the rational Nevanlinna-Pick problem for n+1 interpolating conditions and… Expand
  • figure 1
  • figure 2
  • figure 4
  • figure 3
  • figure 5
Is this relevant?
2001
2001
A robust solver using a continuation method for Nevanlinna-Pick interpolation with degree constraint
  • R. Nagamune
  • Proceedings of the 40th IEEE Conference on…
  • 2001
    • Corpus ID: 125308672
The paper is concerned with computational aspects in solving the Nevanlinna-Pick interpolation problem with degree constraint… Expand
  • figure 1
  • figure 2
  • figure 3
Is this relevant?
Highly Cited
2001
Highly Cited
2001
The Structure of Inner Multipliers on Spaces with Complete Nevanlinna Pick Kernels
Let k be the reproducing kernel for a Hilbert space H(k) of analytic functions on Bd, the open unit ball in Cd, d⩾1. k is called… Expand
Is this relevant?
Highly Cited
2000
Highly Cited
2000
Invariant Subspaces and Nevanlinna–Pick Kernels
Abstract A theorem of Beurling–Lax–Halmos represents a subspace M of H2 C ( D )—the Hardy space of analytic functions with values… Expand
Is this relevant?
2000
2000
On the Duality between Filtering and Nevanlinna--Pick Interpolation
Positive real rational functions play a central role in both deterministic and stochastic linear systems theory, as well as in… Expand
Is this relevant?
Highly Cited
1998
Highly Cited
1998
Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
The non-commutative analytic Toeplitz algebra is the WOT-closed algebra generated by the left regular representation of the free… Expand
Is this relevant?
1990
1990
Nevanlinna-Pick interpolation on Sobolev space
In this paper we shall prove an analog of the classical result of Nevanlinna and Pick concerning the bound of holomorphic… Expand
Is this relevant?
1988
1988
Some interpolation theorems of Nevanlinna-Pick type
A diffuser frame is provided with a rectangular opening and a rectangular deflector overlies the opening. The deflector is… Expand
Is this relevant?
Highly Cited
1987
Highly Cited
1987
A topological approach to Nevanlinna-pick interpolation
We study the set of rational solutions of an $(N + 1)$-point Nevanlinna–Pick problem, that has degree bounded by N Based on the… Expand
Is this relevant?
By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy, Terms of Service, and Dataset License
ACCEPT & CONTINUE