Explicit Solutions for Transcendental Equations
| Autor: | James W. Stevens, Rogelio Luck |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Transcendental equation
Transcendental function Applied Mathematics Cauchy distribution Expression (computer science) Theoretical Computer Science Computational Mathematics ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Calculus Applied mathematics Cauchy's integral theorem Root-finding algorithm Cauchy's integral formula Mathematics Analytic function |
| Zdroj: | SIAM Review. 44:227-233 |
| ISSN: | 1095-7200 0036-1445 |
| DOI: | 10.1137/s0036144501386111 |
| Popis: | A simple method to formulate an explicit expression for the roots of any analytic transcendental function is presented. The method is based on Cauchy's integral theorem and uses only basic concepts of complex integration. One convenient method for numerically evaluating the exact expression is presented. The application of both the formulation and evaluation of the exact expression is illustrated for several classical root finding problems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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