ON MULTIPHASE ALGORITHM FOR SINGLE VARIABLE EQUATION USING NEWTON'S CORRECTION METHOD
This paper brings to light a method based on Multiphase algorithm for single variable equation using Newton's correction. Newton's method is derived through the logarithmic differentiation of polynomial equation. A correction term which enhances the high speed of convergence is hereby intr...
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| Format: | Article |
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| Language: | English |
| Published: |
University of Tehran
1999-09-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31436_588346005778d2c13928a070384a0e25.pdf |
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| Summary: | This paper brings to light a method based on Multiphase algorithm for single
variable equation using Newton's correction. Newton's method is derived through the
logarithmic differentiation of polynomial equation. A correction term which enhances
the high speed of convergence is hereby introduced. A translation of Newton's method
to Total Step and Single Step Methods (T. S. M and S. S. M) respectively, forms the
peak of discussion. Our method, so derived, is also discussed in the light of numerical
evidence |
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| ISSN: | 1016-1104 2345-6914 |