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Fast local convergence with single and multistep methods for nonlinear equations†

Published online by Cambridge University Press:  17 February 2009

James P. Abbott  and
Richard P. Brent
Richard P. Brent
Affiliation:
Computer Centre, Australian National University, P.O. Box 4, Canberra, A.C.T. 2600
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The authors have noticed an oversight in Section 3.1 of this paper. To correct this error it is necessary to assume a uniform differentiability condition on G(x, h). This is required, for example, to imply δ on line 4 of p. 178 can be chosen independent of h. For brevity we note that this oversight has been corrected in [1], which is available from the authors. Also, the results of subsequent sections are unaffected.

Type
Erratum
Information
The ANZIAM Journal , Volume 20 , Issue 2 , December 1977 , pp. 254
Copyright
Copyright © Australian Mathematical Society 1977

References

[1]Abbott, J. P., Numerical continuation methods for nonlinear equations and bifurcation problems (Ph.D. Thesis, Computer Centre, Australian National University, 1977).CrossRefGoogle Scholar