On the scalar rational interpolation problem

DOI10.1007/BF01211856zbMath0874.93009MaRDI QIDQ1356628

Patrick Fitzpatrick

Publication date: 9 June 1997

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

zbMATH Keywords

recursive algorithmerror correcting codesreduced Gröbner basesscalar interpolation problemweak interpolation problem

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) General systems theory (93A99) Realizations from input-output data (93B15)

Related Items (7)

A Fitzpatrick algorithm for multivariate rational interpolation ⋮ On the linearization methods for univariate Birkhoff rational interpolation ⋮ The Neville-like form of the Fitzpatrick algorithm for rational interpolation ⋮ Gröbner basis approach to list decoding of algebraic geometry codes ⋮ Gröbner bases over Galois rings with an application to decoding alternant codes ⋮ Algebraic structure of quasicyclic codes ⋮ Gröbner basis solutions of constrained interpolation problems

Cites Work

• Rational interpolation and the Euclidean algorithm
• A generalized rational interpolation problem and the solution of the Welch-Berlekamp key equation
• Interpolation with positive-real functions
• On the Scalar Rational Interpolation Problem
• On the key equation
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