A Family of Iterative Methods for Solving Systems of Nonlinear Equations Having Unknown Multiplicity

A family of iterative methods for solving systems of nonlinear equations having unknown multiplicity

[1]  Juan A. Carrasco,et al.  Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: Application to PDEs and ODEs , 2015, Comput. Math. Appl..

[2]  R. Schnabel,et al.  Tensor Methods for Nonlinear Equations. , 1984 .

[3]  J. Traub Iterative Methods for the Solution of Equations , 1982 .

[4]  Juan R. Torregrosa,et al.  Modified Newton's method for systems of nonlinear equations with singular Jacobian , 2009 .

[5]  Stefano Serra Capizzano,et al.  An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs , 2015, Appl. Math. Comput..

[6]  Juan A. Carrasco,et al.  A parameterized multi-step Newton method for solving systems of nonlinear equations , 2015, Numerical Algorithms.

[7]  Alicia Cordero,et al.  A modified Newton-Jarratt’s composition , 2010, Numerical Algorithms.

[8]  Xinyuan Wu,et al.  Note on the improvement of Newton's method for system of nonlinear equations , 2007, Appl. Math. Comput..

[9]  James M. Ortega,et al.  Iterative solution of nonlinear equations in several variables , 2014, Computer science and applied mathematics.

[10]  Fazlollah Soleymani,et al.  Numerical solution of nonlinear systems by a general class of iterative methods with application to nonlinear PDEs , 2013, Numerical Algorithms.

[11]  Fazlollah Soleymani,et al.  On a New Method for Computing the Numerical Solution of Systems of Nonlinear Equations , 2012, J. Appl. Math..

[12]  Fayyaz Ahmad,et al.  An Efficient Higher-Order Quasilinearization Method for Solving Nonlinear BVPs , 2013, J. Appl. Math..

[13]  Muhammad Aslam Noor,et al.  A Family of Iterative Schemes for Finding Zeros of Nonlinear Equations having Unknown Multiplicity , 2014 .