The general rational interpolation problem and its connection with the Nevanlinna-Pick interpolation and power moment problem

DOI10.1016/S0024-3795(97)00346-7zbMath0899.30024WikidataQ127975580 ScholiaQ127975580MaRDI QIDQ1381276

Gongming Chen

Publication date: 17 March 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

interpolation problemNevanlinna-Pick interpolation

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Moment problems and interpolation problems in the complex plane (30E05)

Related Items

On the multiple Nevanlinna-Pick matrix interpolation in the class \(\mathcal C_p\) and the Carathéodory matrix coefficient problem ⋮ The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions. III: The infinitely many data case ⋮ Multiple Nevanlinna-Pick interpolation with both interior and boundary data and its connection with the power moment problem ⋮ On the multiple Nevanlinna--Pick interpolation problems in some matrix-valued function classes ⋮ Boundary Nevanlinna–Pick interpolation for Nevanlinna matrix functions and the related Hamburger matrix moment problem ⋮ The multipoint Padé approximation problem and its Hankel vector ⋮ The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions ⋮ Inversion of a generalized block Loewner matrix, the minimal partial realization, and matrix rational interpolation problem ⋮ The truncated Hamburger matrix moment problems in the nondegenerate and degenerate cases, and matrix continued fractions ⋮ Boundary Nevanlinna-Pick interpolation for meromorphic functions.

Cites Work

• Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions
• Quasidirect decompositions of Hankel and Toeplitz matrices
• The commutant lifting approach to interpolation problems
• Errata to: Two-sided tangential interpolation of real rational matrix functions
• More on Loewner matrices
• The general rational interpolation problem in the scalar case and its Hankel vector
• Relations d'un problème de Nevanlinna et Pick avec la théorie des opérateurs de l'espace hilbertien
• ANALYTIC THEORY OF A CLASS OF INTERPOLATION PROBLEMS
• An indefinite metric in the Nevanlinna-Pick problem
• Generalized Interpolation in H ∞
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