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A note on continuation methods for the solution of nonlinear equations

Published online by Cambridge University Press:  17 February 2009

Richard P. Brent
Affiliation:
Computer Centre, Australian National University, Canberra 2600, Australia
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Abstract

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In this note we present a variable order continuation method for the solution of nonlinear equations when only a poor estimate of a solution is known. The method changes continuously from one which improves the global convergence characteristics to one which attains rapid convergence to a solution and proves to be more efficient than methods previously presented in [2].

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1977