Efficient parametric family of fourth-order Jacobian-free iterative vectorial schemes

DOI10.1007/S11075-024-01776-1MaRDI QIDQ6653278

Renso V. Rojas-Hiciano, Juan Ramón Torregrosa Sánchez, Paula Triguero-Navarro, Alicia Cordero

Publication date: 16 December 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

iterative schemeefficiency indexJacobian-freenon-linear systems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Cites Work

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• Approximation of artificial satellites' preliminary orbits: the efficiency challenge
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• A family of Steffensen type methods with seventh-order convergence
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• A simple yet efficient two-step fifth-order weighted-Newton method for nonlinear models
• High order numerical schemes for transport equations on bounded domains
• A highly efficient class of optimal fourth-order methods for solving nonlinear systems

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