Effective root-finding methods for nonlinear equations based on multiplicative calculi

DOI10.1155/2016/8174610zbMath1487.65054OpenAlexW2529304642WikidataQ59127855 ScholiaQ59127855MaRDI QIDQ670600

Tolgay Karanfiller, Ali Ozyapici, Zehra Boratas Sensoy

Publication date: 18 March 2019

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/8174610

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Numerical computation of solutions to single equations (65H05) One-variable calculus (26A06)

Related Items (4)

Effective numerical methods for non-linear equations ⋮ Hermite-Hadamard type inequalities for multiplicative Riemann-Liouville fractional integrals ⋮ An efficient technique to solve nonlinear equations using multiplicative calculus ⋮ A multiplicative Gauss-Newton minimization algorithm: theory and application to exponential functions

Cites Work

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• On modeling with multiplicative differential equations
• Broyden's method for solving fuzzy nonlinear equations
• Multiplicative type complex calculus as an alternative to the classical calculus
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• Multiplicative Runge-Kutta methods
• Generation of root finding algorithms via perturbation theory and some formulas
• Perturbative derivation and comparisons of root-finding algorithms with fourth order derivatives
• Multiplicative calculus in biomedical image analysis
• Multiplicative calculus and its applications
• A new modified Halley method without second derivatives for nonlinear equation
• Multiplicative finite difference methods
• Finite product representation via multiplicative calculus and its applications to exponential signal processing

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