Journal of applied mathematics & informatics
- 제25권1_2호
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- Pages.345-351
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
AN IMPROVED UNIFYING CONVERGENCE ANALYSIS OF NEWTON'S METHOD IN RIEMANNIAN MANIFOLDS
초록
Using more precise majorizing sequences we provide a finer convergence analysis than before [1], [7] of Newton's method in Riemannian manifolds with the following advantages: weaker hypotheses, finer error bounds on the distances involved and a more precise information on the location of the singularity of the vector field.
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