fixed-point%20methods
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1: 3.8 Nonlinear Equations
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►For fixed-point methods for computing zeros of special functions, see Segura (2002), Gil and Segura (2003), and Gil et al. (2007a, Chapter 7).
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§3.8(vii) Systems of Nonlinear Equations
… ►§3.8(viii) Fixed-Point Iterations: Fractals
… ►2: Bibliography S
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A global Newton method for the zeros of cylinder functions.
Numer. Algorithms 18 (3-4), pp. 259–276.
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The zeros of special functions from a fixed point method.
SIAM J. Numer. Anal. 40 (1), pp. 114–133.
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Uniform asymptotic forms of modified Mathieu functions.
Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
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Practical Extrapolation Methods: Theory and Applications.
Cambridge Monographs on Applied and Computational Mathematics, Vol. 10, Cambridge University Press, Cambridge.
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Numerical Methods Based on Sinc and Analytic Functions.
Springer Series in Computational Mathematics, Vol. 20, Springer-Verlag, New York.
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3: Bibliography G
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Sur les équations différentielles du second ordre et du premier degré dont l’intégrale générale est a points critiques fixes.
Acta Math. 33 (1), pp. 1–55.
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WKB and turning point theory for second-order difference equations.
In Spectral Methods for Operators of Mathematical Physics,
Oper. Theory Adv. Appl., Vol. 154, pp. 101–138.
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Algorithm 939: computation of the Marcum Q-function.
ACM Trans. Math. Softw. 40 (3), pp. 20:1–20:21.
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A method for evaluating certain Bessel integrals.
Z. Angew. Math. Phys. 30 (4), pp. 722–723.
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Lectures on Integration of the Equations of Motion of a Rigid Body About a Fixed Point.
Translated from the Russian by J. Shorr-Kon, Office of Technical Services, U. S. Department of Commerce, Washington, D.C..
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