An acceleration of Newton's method: Super-Halley method |
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| Institution: | 1. Department of Mathematics, Sungkyunkwan University, Suwon 16419, Republic of Korea;2. Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA 93943, United States;1. Department of Mathematics, Razi University, Iran;2. Instituto de Matemáticas Multidisciplinar, Universitat Politècnica de València, Spain |
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| Abstract: | From a study of the convexity we give an acceleration for Newton's method and obtain a new third order method. Then we use this method for solving non-linear equations in Banach spaces, establishing conditions on convergence, existence and uniqueness of solution, as well as error estimates |
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