Abstract
A convergence analysis for turning points of nonlinear compact operator equations is given. A turning point is shown to be an isolated solution of a larger system of nonlinear equations. Approximations to the turning point can be obtained by discretizing the larger system using standard techniques and the convergence of the approximations is proved using results of P.M. Anselone (Collectively Compact Operator Approximation Theory) and R. Weiss (SIAM J.Numer.Anal. 11(1974), p550–553).
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References
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© 1980 Springer Basel AG
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Spence, A., Moore, G. (1980). A Convergence Analysis for Turning Points of Nonlinear Compact Operator Equations. In: Albrecht, J., Collatz, L. (eds) Numerical Treatment of Integral Equations / Numerische Behandlung von Integralgleichungen. International Series of Numerical Mathematics / International Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 53. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6314-8_15
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DOI: https://doi.org/10.1007/978-3-0348-6314-8_15
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1105-6
Online ISBN: 978-3-0348-6314-8
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