Newton Methods to Solve a System of Nonlinear Algebraic Equations

QR Code

Newton Methods to Solve a System of Nonlinear Algebraic Equations

Fundamental insight into the solution of systems of nonlinear equations was provided by Powell. It was found that Newton iterations, with exact line searches, did not converge to a stationary point of the natural merit function, i.e., the Euclidean norm of the residuals. Extensive numerical simulati...

Full description

Bibliographic Details
Main Authors:	Goh, Bean San, McDonald, D.
Format:	Journal Article
Published:	2015
Online Access:	http://hdl.handle.net/20.500.11937/11654

Similar Items

Solving Nonlinear Algebraic Problem Using Newton Homotopy Differential Equation
by: Hasan, Talib Hashim, et al.
Published: (2011)

Partial Newton methods for a system of equations
by: Goh, Bean San, et al.
Published: (2013)

Solving system of nonlinear integral equations by Newton-Kantorovich method
by: Hameed, Hameed Husam, et al.
Published: (2013)

Partial Newton methods for a system of equations
by: Goh, Bean, et al.
Published: (2013)

On Newton-Kantorovich method for solving the nonlinear operator equation
by: Hameed, Hameed Husam, et al.
Published: (2015)

On solving an nxn system of nonlinear Volterra integral equations by the Newton-Kantorovich method
by: Hameed, Hameed Husam, et al.
Published: (2016)

Jacobian computation-free Newton's method for systems of nonlinear equations.
by: Yusuf, Mohammed Waziri, et al.
Published: (2010)

Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations
by: Muthuvalu, M., et al.
Published: (2014)

Numerical performance of AOR methods in solving first order composite closed Newton-Cotes quadrature algebraic equations
by: Muthuvalu, Mohana Sundaram, et al.
Published: (2013)

Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method
by: Eshkuratov, Zainidin K., et al.
Published: (2010)

Diagonal quasi-newton's method for large-scale systems of nonlinear equations
by: Yusuf, Mohammed Waziri
Published: (2011)

Newton-Kantorovich method for solving one- and two-dimensional nonlinear Volterra integral equations of the second kind
by: Hameed, Hameed Husam
Published: (2016)

A new Newtons method with diagonal Jacobian approximation for systems of nonlinear equations
by: Yusuf, Mohammed Waziri, et al.
Published: (2010)

Jacobian-free diagonal Newton's method for solving nonlinear systems with singular Jacobian
by: Yusuf, Mohammed Waziri, et al.
Published: (2011)

A matrix-free quasi-Newton method for solving large-scale nonlinear systems.
by: Leong, Wah June, et al.
Published: (2011)

Two-step diagonal Newton method for large-scale systems of nonlinear equations
by: Waziri, Mohammed Yusuf, et al.
Published: (2011)

On the solution of multi-dimensional nonlinear integral equation with modified newton method
by: Hameed, Hameed Husam, et al.
Published: (2017)

A family of least change diagonally quasi-Newton methods for nonlinear equations
by: Leong, Wah June, et al.
Published: (2010)

Approximate solution of a nonlinear system of integral equations using modified Newton-Kantorovich method
by: Eshkuratov, Zainidin K., et al.
Published: (2010)

Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman
by: Abd Rahman, Nor Hanim
Published: (2017)

Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman
by: Abd Rahman, Nor Hanim
Published: (2017)

Quasi-Newton methods based on ordinary differential equation approach for unconstrained nonlinear optimization
by: Khiyabani, Farzin Modarres, et al.
Published: (2014)

Two-step derivative-free diagonally Newton's method for large-scale nonlinear equations
by: Yusuf, Mohammed Waziri, et al.
Published: (2013)

An approximate solution of two dimensional nonlinear Volterra integral equation using Newton-Kantorovich method
by: Hameed, Hameed Husam, et al.
Published: (2016)

Iterative methods for solving nonlinear equations with multiple zeros
by: Jamaludin, Nur Alif Akid
Published: (2018)

Newton method for nonlinear system with singular Jacobian using diagonal updating
by: Yusuf, Mohammed Waziri, et al.
Published: (2010)

Taylor -Fixed point homotopy for solving nonlinear algebraic problems
by: Hasan, Talib Hashim, et al.
Published: (2010)

Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations
by: Eltayeb, Hassan, et al.
Published: (2014)

Block methods based on Newton interpolation for solving special second order ordinary differential equations directly
by: Yap, Yee Ken, et al.
Published: (2008)

Homotopy-perturbation method for solving linear and nonlinear differential equation
by: Chowdhury, Md. Sazzad Hossien
Published: (2015)

Fourth-Order Spline Methods For Solving Nonlinear Schrödinger Equation
by: Ahmad, Azhar
Published: (2021)

One dimensional nonlinear integral operator with Newton–Kantorovich method
by: Eshkuratov, Zainidin K., et al.
Published: (2016)

Review of some iterative methods for solving nonlinear equations with multiple zeros
by: Jamaludin, Nur Alif Akid, et al.
Published: (2019)

Block backward differentiation formula for solving ordinary and algebraic differential equations
by: Abasi, Naghmeh
Published: (2014)

The modified homotopy perturbation method and its application in solving nonlinear integral equations
by: Guo, Y., et al.
Published: (2010)

Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations
by: Atabakan, Zohreh Pashazadeh, et al.
Published: (2014)

A multi-point iterative method for solving nonlinear equations with optimal order of convergence
by: Nik Long, Nik Mohd Asri, et al.
Published: (2018)

Modified quasi-Newton type methods using gradient flow system for solving unconstrained optimization
by: Yap, Chui Ying
Published: (2016)

Solving dissipative nonlinear schrodinger equation with variable coefficient using homotopy perturbation method
by: Mohd Yazid, Nazatulsyima, et al.
Published: (2017)

Application of Taylor-Newton homotopy method for solving electrical engineering design problem
by: Hassan, Talib Hashim, et al.
Published: (2009)