The Asymptotic Behavior of Toeplitz Determinants Generated by the Laurent Coefficients of a Meromorphic Function

DOI10.1137/0606061zbMath0569.41026OpenAlexW2119934979MaRDI QIDQ3687160

Adhemar Bultheel

Publication date: 1985

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: http://www.cs.kuleuven.be/cwis/research/nalag/papers/ade/astoep/

zbMATH Keywords

meromorphic functionToeplitz determinantsHankel determinantsLaurent-Padé approximants

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Approximation in the complex plane (30E10)

Related Items (1)

Exact correlations in topological quantum chains

Cites Work

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• Computation of poles of two-point Padé approximants and their limits
• Der Quotienten-Differenzen-Algorithmus
• The asymptotic behavior of Toeplitz determinants for generating functions with zeros of integral orders
• Toeplitz Matrices Generated by the Laurent Series Expansion of an Arbitrary Rational Function
• Continued Fractions which Correspond to Power Series Expansions at Two Points
• The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis

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