radiusConverge

Estimate radius of convergence of a real-valued Taylor series from its coefficients when convergence is limited by singularities.

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Estimate radius of convergence of a real-valued Taylor
series from its coefficients when convergence is limited
by either a real singularity or a complex conjugate pair
of singularities. Execute with no argument to see an
example. Also estimate the location and nature of the
singularities---assuming they are of form [z-r]^nature or
[z-r*exp(i*theta)]^nature. See Appendix of the article by
Mercer & Roberts (1990) "A centre manifold description of
contaminant dispersion in channels with varying flow
properties"; SIAM J. Appl. Math. 50, pp. 1547--1565; doi:
10.1137/0150091.

Cite As

Tony Roberts (2026). radiusConverge (https://www.mathworks.com/matlabcentral/fileexchange/74840-radiusconverge), MATLAB Central File Exchange. Retrieved .

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MATLAB Release Compatibility

  • Compatible with any release

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Version Published Release Notes Action
1.0.2

Improved graphics and reporting

1.0.1

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1.0.0