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An efficient Newton-type method with fifth-order convergence for solving nonlinear equations

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Publication:1001752
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zbMath1161.65040MaRDI QIDQ1001752

Li Sun, Liang Fang, Guo-Ping He

Publication date: 24 February 2009

Published in: Computational and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

comparison of methodsNewton's methodnumerical examplesiterative methodsefficiency indexnonlinear scalar equations


Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Complexity and performance of numerical algorithms (65Y20)


Related Items (7)

ON INVERSE ITERATION PROCESS FOR FINDING ALL ROOTS OF NONLINEAR EQUATIONS WITH APPLICATIONS ⋮ Family of multipoint with memory iterative schemes for solving nonlinear equations ⋮ The Fibonacci family of iterative processes for solving nonlinear equations ⋮ A new class of Halley's method with third-order convergence for solving nonlinear equations ⋮ To the question of efficiency of iterative methods ⋮ A new fifth-order iterative method free from second derivative for solving nonlinear equations ⋮ On Newton's midpoint-type iterative Scheme's convergence







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