학술논문
A STUDY ON CONVERGENCE OF EXTENDED LEAP-FROGGING NEWTON S METHOD LOCATING MULTIPLE ZEROS
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- 영문명
- 발행기관
- 충청수학회
- 저자명
- Young Hee Geum
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 2, 217~227쪽, 전체 11쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2009.06.30
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국문 초록
영문 초록
Assuming that a given nonlinear function f : R ! R has a zero ？？ with integer multiplicity m ¸ 1 and is su±ciently smooth in a small neighborhood of ？？, we de¯ne extended leap- frogging Newton s method. We investigate the order of conver- gence and the asymptotic error constant of the proposed method as a function of multiplicity m. Numerical experiments for various test functions show a satisfactory agreement with the theory pre-sented in this paper and are throughly veri¯ed via Mathematica programming with its high-precision computability.
목차
1. Introduction
2. Convergence analysis
3. Algorithm, numerical results and discussions
References
키워드
해당간행물 수록 논문
- SMARANDACHE GT-ALGEBRAS
- A STUDY ON CONVERGENCE OF EXTENDED LEAP-FROGGING NEWTON S METHOD LOCATING MULTIPLE ZEROS
- SOME ALGORITHMS OF THE BEST SIMULTANEOUS APPROXIMATION
- INTUITIONISTIC FUZZY SEMIPRIME IDEALS OF ORDERED SEMIGROUPS
- DIMENSIONALLY INVARIANT SPACES
- AN IMPROVED LOWER BOUNDS OF UNIVARIATE BONFERRONI-TYPE INEQUALITY
- SEMI-HOMOMORPHISMS OF BCK-ALGEBRAS
- RESTORATION OF BLURRED IMAGES BY GLOBAL LEAST SQUARES METHOD
- MULTIPLE SOLUTIONS FOR THE NONLINEAR PARABOLIC PROBLEM
- SOME APPLICATIONS OF EXTREMAL LENGTH TO CONFORMAL IMBEDDINGS
- FUZZY WEAKLY (r; s)-SEMICONTINUOUS MAPPINGS
- THE MOD H NIELSEN NUMBER
- COMPETING CONSTANTS FOR THE SOBOLEV TRACE INEQUALITY
- SPECTRA OF ASYMPTOTICALLY QUASISIMILAR SUBDECOMPOSABLE OPERATORS
- ON THE FUZZY COMPLETE NORMED LINEAR SPACE
- CHARACTERIZATIONS OF THE LOMAX, EXPONENTIAL AND PARETO DISTRIBUTIONS BY CONDITIONAL EXPECTATIONS OF RECORD VALUES
- THE GENERALIZED TRIANGULAR FUZZY SETS
- SOME REMARKS ON THE PERIODIC CONTINUED FRACTION
- ON THE HYERS-ULAM-RASSIAS STABILITY OF THE GENERALIZED POLYNOMIAL FUNCTION OF DEGREE 2
- A FIXED POINT APPROACH FOR THE APPROXIMATION OF JORDAN TRIPLE LINEAR DERIVATIONS IN BANACH ALGEBRAS
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