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Can I read Removing Multiplicities in by Double Newtonization on EtoBox?
Removing Multiplicities in by Double Newtonization by Mário M. Graça is a Mathematics article available to read on EtoBox.
What is Removing Multiplicities in by Double Newtonization about?
The graphical analysis of the zero level curves of the imaginary and real parts of a complexvalued analytic function f is used, both to localize the zeros of the function and to count their multiplicities. The comparison of the referred level curves with the zero level curves of F 1⁄4 f =f 0 (for which a multiple zero of f becomes simple) is made in order to predict good initial guesses for the iterative process defined by the iteration function N f , which we called the double newtonization of f. This approach enables us to obtain high precision approximations for the zeros of f, regardless of their multiplicities. Several examples of analytic functions are presented to illustrate the results obtained. In these examples the occurrence of extraneous zeros is observed, and their location is in agreement with a classical theorem of Gauss-Lucas for polynomials.
Who reads Removing Multiplicities in by Double Newtonization?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Mário M. Graça
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)