On a result by Dennis and Schnabel for Newton's method: Further improvements
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Date
2016
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Journal ISSN
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Publisher
Elsevier Ltd
Abstract
We improve local convergence results for Newton's method by defining a more precise domain where the Newton iterates lie than in earlier studies using Dennis and Schnabel-type techniques. A numerical example is presented to show that the new convergence radii are larger and new error bounds are more precise than the earlier ones. © 2015 Elsevier Ltd. All rights reserved.
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Keywords
Error analysis, Dennis and Schnabel, Error bound, Local Convergence, Newton's methods, Order of convergence, Newton-Raphson method
Citation
Applied Mathematics Letters, 2016, 55, , pp. 49-53