A preconditioned iterative method for solving systems of nonlinear equations having unknown multiplicity

DOI10.3390/a10010017zbMath1461.65082OpenAlexW2574595112MaRDI QIDQ1662605

Ali Saleh Alshomrani, Shamshad Ahmad, Fayyaz Ahmad, Malik Zaka Ullah, Umar Shoaib, Shahid Ahmad, Toseef Akhter Bhutta

Publication date: 20 August 2018

Published in: Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/a10010017

zbMATH Keywords

nonlinear equationssystems of nonlinear equationsauxiliary functionsingular Jacobiannonlinear preconditionersroots with unknown multiplicity

Mathematics Subject Classification ID

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

Related Items (1)

Constructing an efficient multi-step iterative scheme for nonlinear system of equations

Cites Work

• Unnamed Item
• Unnamed Item
• A parameterized multi-step Newton method for solving systems of nonlinear equations
• Numerical solution of nonlinear systems by a general class of iterative methods with application to nonlinear PDEs
• Numerical methods for roots of polynomials. Part I
• An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs
• Variational iteration technique for solving nonlinear equations
• Improving the order of convergence of iteration functions
• A family of iterative methods for solving systems of nonlinear equations having unknown multiplicity
• An efficient higher-order quasilinearization method for solving nonlinear BVPs
• On a new method for computing the numerical solution of systems of nonlinear equations
• Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: application to PDEs and ODEs
• Variational iteration technique for solving a system of nonlinear equations
• On the construction of iterative methods with at least cubic convergence
• Note on the improvement of Newton's method for system of nonlinear equations
• A method for obtaining iterative formulas of order three
• Modified Newton's method for systems of nonlinear equations with singular Jacobian
• A modified Newton-Jarratt's composition

This page was built for publication: A preconditioned iterative method for solving systems of nonlinear equations having unknown multiplicity