= Condition Estimates for Pseudo-Arclength Continuation by K. I. Dickson and others
{c}
{tag=Work by K. I. Dickson}
{tag=Work by C. T. Kelley}
{tag=Work by Ilse Ipsen}
{tag=Work by Yannis G. Kevrekidis}
{title2=2007}
{title2=10.1137/060654384}
By <K. I. Dickson>, <C. T. Kelley>, <Ilse Ipsen>, <Yannis G. Kevrekidis>.
Publisher: Society for Industrial and Applied Mathematics.
Published in SIAM Journal on Numerical Analysis, volume 45, number 1, pp. 263–276.
Online text: https://ipsen.math.ncsu.edu/ps/sinum65438.pdf
Cited passages: §2.1, Corollary 2.1, printed pp. 264–265: Lipschitz continuously differentiable map, nonsingular state Jacobian, and a sufficiently small parameter increment; §2.2, Definition 2.2, printed p. 265: one-dimensional kernel of the state Jacobian and parameter derivative outside its range; §2.2, equations (2.2)–(2.5), printed pp. 265–266: unit tangent and hyperplane normalization; Corollary 2.3 gives local Newton convergence for sufficiently small steps.
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