Padé-Faber approximation of Markov functions on real-symmetric compact sets

DOI10.1134/S0001434609070086zbMath1177.41013OpenAlexW2055247839MaRDI QIDQ736207

L. A. Knizhnerman

Publication date: 27 October 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434609070086

zbMATH Keywords

Markov functionLanczos processextended complex planeFaber operatorPadé-Chebyshev approximationPadé-Faber approximationsubdiagonal approximant

Mathematics Subject Classification ID

Padé approximation (41A21)

Related Items (1)

On the rational approximation of Markov functions, with applications to the computation of Markov functions of Toeplitz matrices

Cites Work

• Matrix interpretations and applications of the continued fraction algorithm
• Error estimation on the Padé approximation of transfer functions via the Lanczos process
• Estimates in quadratic formulas
• The Faber operator and its boundedness
• The Carathéodory–Fejér Method for Real Rational Approximation
• On the Faber Transform and Efficient Numerical Rational Approximation
• Gaussian Spectral Rules for the Three-Point Second Differences: I. A Two-Point Positive Definite Problem in a Semi-Infinite Domain
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