Tokarzewski, Stanisław ; Telega, Józef J.
Logemann, Hartmut - red. ; Townley, Stuart - red.
Two-point Padé approximants for Stieltjes functions and their application to composite materials
Recent Developments in Control Theory
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Subject and Keywords:
sterowanie ; sterowanie-teoria ; sztuczna inteligencja ; matematyka stosowana ; informatyka
By employing special continued fractions to asymptotic expansions at zero and infinity, the convergence of the balanced and unbalanced two-point Padé approximants (2PPA) to a Stieltjes function is studied in a real domain. We prove that certain balanced and unbalanced two-point Padé approximants form a monotone sequence of upper and lower bounds uniformly converging to a Stieltjes function. The observed monotone and uniform convergence of 2PPA is exemplified in the evaluation of bounds on the effective transport coefficients of periodic inhomogeneous media.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 8, number 2 (1998) ; click here to follow the link