New seventh and eighth order derivative free methods for solving nonlinear equations

DOI10.1515/TMJ-2017-0049zbMath1386.65141OpenAlexW2770380754MaRDI QIDQ1683376

Bhavna Panday, Jai Prakash Jaiswal

Publication date: 8 December 2017

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/tmj-2017-0049

zbMATH Keywords

iterative methodnonlinear equationorder of convergenceefficiency index

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Rate of convergence, degree of approximation (41A25)

Cites Work

• Eighth-order iterative methods without derivatives for solving nonlinear equations
• Several new third-order iterative methods for solving nonlinear equations
• A new Jarratt-type fourth-order method for solving system of nonlinear equations and applications
• A non-iterative method for solving non-linear equations
• Optimal Order of One-Point and Multipoint Iteration
• A note on \(Q\)-order of convergence
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