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Volumn 211, Issue 2, 2009, Pages 383-391

A fourth order iterative method for solving nonlinear equations

Author keywords

Algebraic equation; Convergence; Iteration process; Nonlinear equation; Transcendental equation

Indexed keywords

ABSOLUTE ERRORS; ALGEBRAIC EQUATION; COMPARATIVE ANALYSIS; CONVERGENCE; EFFECTING FACTORS; FOURTH ORDERS; FUNCTIONAL EVALUATIONS; HIGHER ORDERS; ITERATION METHODS; ITERATION PROCESS; ITERATIVE NUMERICAL METHODS; NEWTON-RAPHSON; NUMBER OF ITERATIONS; SECOND DERIVATIVES; TRANSCENDENTAL EQUATION;

EID: 64849093832     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.01.047     Document Type: Article
Times cited : (95)

References (16)
  • 1
    • 33646856650 scopus 로고    scopus 로고
    • Unified treatment of regula falsi, Newton-Raphson, Secant, and Steffensen methods for nonlinear equations
    • Sidi A. Unified treatment of regula falsi, Newton-Raphson, Secant, and Steffensen methods for nonlinear equations. Journal of Online Mathematics and Its Applications (2006) 1-13
    • (2006) Journal of Online Mathematics and Its Applications , pp. 1-13
    • Sidi, A.1
  • 2
    • 33747352454 scopus 로고    scopus 로고
    • A uniparametric Chebyshev-type method free from second derivatives
    • Jisheng K., Yitian L., and Xiuhua W. A uniparametric Chebyshev-type method free from second derivatives. Applied Mathematics and Computation 179 (2006) 296-300
    • (2006) Applied Mathematics and Computation , vol.179 , pp. 296-300
    • Jisheng, K.1    Yitian, L.2    Xiuhua, W.3
  • 3
    • 33750481880 scopus 로고    scopus 로고
    • A modification of Newton method with third-order convergence
    • Kou J., Li Y., and Wang X. A modification of Newton method with third-order convergence. Applied Mathematics and Computation 181 (2006) 1106-1111
    • (2006) Applied Mathematics and Computation , vol.181 , pp. 1106-1111
    • Kou, J.1    Li, Y.2    Wang, X.3
  • 4
    • 34648847295 scopus 로고    scopus 로고
    • Newton-like iterative methods for solving system of non-linear equations
    • Golbabai A., and Javidi M. Newton-like iterative methods for solving system of non-linear equations. Applied Mathematics and Computation 192 (2007) 546-551
    • (2007) Applied Mathematics and Computation , vol.192 , pp. 546-551
    • Golbabai, A.1    Javidi, M.2
  • 5
    • 0042522428 scopus 로고    scopus 로고
    • Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
    • Abbasbandy S. Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method. Applied Mathematics and Computation 145 (2003) 887-893
    • (2003) Applied Mathematics and Computation , vol.145 , pp. 887-893
    • Abbasbandy, S.1
  • 6
    • 33646141157 scopus 로고    scopus 로고
    • On modified Newton methods with cubic convergence
    • Kou J., Li Y., and Wang X. On modified Newton methods with cubic convergence. Applied Mathematics and Computation 176 (2006) 123-127
    • (2006) Applied Mathematics and Computation , vol.176 , pp. 123-127
    • Kou, J.1    Li, Y.2    Wang, X.3
  • 7
    • 33845396280 scopus 로고    scopus 로고
    • An analysis of the properties of the variants of Newton's method with third order convergence
    • Babajee D.K.R., and Dauhoo M.Z. An analysis of the properties of the variants of Newton's method with third order convergence. Applied Mathematics and Computation 183 1 (2006) 659-684
    • (2006) Applied Mathematics and Computation , vol.183 , Issue.1 , pp. 659-684
    • Babajee, D.K.R.1    Dauhoo, M.Z.2
  • 8
    • 33845430791 scopus 로고    scopus 로고
    • Three-step iterative methods for nonlinear equations
    • Noor M.A., and Noor K.I. Three-step iterative methods for nonlinear equations. Applied Mathematics and Computation 183 (2006) 322-327
    • (2006) Applied Mathematics and Computation , vol.183 , pp. 322-327
    • Noor, M.A.1    Noor, K.I.2
  • 10
    • 31144461541 scopus 로고    scopus 로고
    • A note on the new iteration method for solving algebraic equation
    • Luo X.-G. A note on the new iteration method for solving algebraic equation. Applied Mathematics and Computation 171 2 (2005) 1177-1183
    • (2005) Applied Mathematics and Computation , vol.171 , Issue.2 , pp. 1177-1183
    • Luo, X.-G.1
  • 11
    • 37349058848 scopus 로고    scopus 로고
    • A new Hybrid iteration method for solving algebraic equations
    • Ide N.-A.-D. A new Hybrid iteration method for solving algebraic equations. Applied Mathematics and Computation 195 (2008) 772-774
    • (2008) Applied Mathematics and Computation , vol.195 , pp. 772-774
    • Ide, N.-A.-D.1
  • 12
    • 33748335739 scopus 로고    scopus 로고
    • On new exponential quadratically convergent iterative formulae
    • Chen J., and Li W. On new exponential quadratically convergent iterative formulae. Applied Mathematics and Computation 180 (2006) 242-246
    • (2006) Applied Mathematics and Computation , vol.180 , pp. 242-246
    • Chen, J.1    Li, W.2
  • 14
    • 40149101699 scopus 로고    scopus 로고
    • On modified Newton methods for solving a non linear algebraic equations
    • Ide N.-A.-D. On modified Newton methods for solving a non linear algebraic equations. Applied Mathematics and Computation 198 (2008) 138-142
    • (2008) Applied Mathematics and Computation , vol.198 , pp. 138-142
    • Ide, N.-A.-D.1
  • 15
    • 0037440583 scopus 로고    scopus 로고
    • A new iteration method for solving algebraic equations
    • He J.-H. A new iteration method for solving algebraic equations. Applied Mathematics and Computation 135 (2003) 81-84
    • (2003) Applied Mathematics and Computation , vol.135 , pp. 81-84
    • He, J.-H.1
  • 16
    • 27144516174 scopus 로고    scopus 로고
    • A composite third order Newton-Steffensen method for solving nonlinear equations
    • Sharma J.R. A composite third order Newton-Steffensen method for solving nonlinear equations. Applied Mathematics and Computation 169 (2005) 242-246
    • (2005) Applied Mathematics and Computation , vol.169 , pp. 242-246
    • Sharma, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.