A new Newtons method with diagonal Jacobian approximation for systems of nonlinear equations

QR Code

A new Newtons method with diagonal Jacobian approximation for systems of nonlinear equations

Problem statement: The major weaknesses of Newton method for nonlinear equations entail computation of Jacobian matrix and solving systems of n linear equations in each of the iterations. Approach: In some extent function derivatives are quit costly and Jacobian is computationally expensive which r...

Full description

Bibliographic Details
Main Authors:	Yusuf, Mohammed Waziri, Leong, Wah June, Abu Hassan, Malik, Monsi, Mansor
Format:	Article
Language:	English
Published:	Science Publications 2010
Online Access:	http://psasir.upm.edu.my/id/eprint/12751/ http://psasir.upm.edu.my/id/eprint/12751/1/A%20new%20Newtons%20method%20with%20diagonal%20Jacobian%20approximation%20for%20systems%20of%20nonlinear%20equations.pdf

Similar Items

Newton method for nonlinear system with singular Jacobian using diagonal updating
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)

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

An efficient solver for systems of nonlinear equations with singular Jacobian via diagonal updating
by: Waziri, Mohammed Yusuf, et al.
Published: (2010)

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

An improved diagonal Jacobian approximation via a new quasi-Cauchy condition for solving large-scale systems of nonlinear equations
by: Waziri, Mohammed Yusuf, et al.
Published: (2013)

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

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

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

Diagonal hessian approximation for limited memory quasi-newton via variational principle
by: Marjugi, Siti Mahani, et al.
Published: (2013)

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

A class of diagonal quasi-newton methods for large-scale convex minimization
by: Leong, Wah June
Published: (2015)

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

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

Some diagonal preconditioners for limited memory quasi-Newton method for large Scale optimization
by: Sim, Hong Seng, et al.
Published: (2013)

Diagonal quasi-Newton method via variational principle under generalized Frobenius norm
by: Enshaei, Sharareh, et al.
Published: (2016)

Diagonal quasi-Newton methods via least change updating principle with weighted Frobenius norm
by: Leong, Wah June, et al.
Published: (2021)

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

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

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

Diagonal quasi-Newton updating formula using log-determinant norm
by: Sim, Hong Seng, et al.
Published: (2015)

A Switching Criterion in Hybrid Quasi-Newton BFGS - Steepest Descent Direction
by: Abu Hassan, Malik, et al.
Published: (1999)

Convergence of symmetric rank-one method based on modified Quasi-Newton equation
by: Khiyabani, Farzin Modarres, et al.
Published: (2010)

Diagonal preconditioned conjugate gradient algorithm for unconstrained optimization
by: Ng, Choong Boon, et al.
Published: (2014)

Diagonal quasi-newton updating strategy with cholesky factor via variational principle
by: Bukar, Tijjani, et al.
Published: (2022)

New quasi-Newton methods via higher order tensor models.
by: Biglari, Fahmeh, et al.
Published: (2011)

A low memory solver for integral equations of Chandrasekhar type in the radiative transfer problems
by: Yusuf, Muhammad Waziri, et al.
Published: (2011)

Improved Hessian approximations with modified secant equations for symmetric rank-one method
by: Modarres, Farzin, et al.
Published: (2011)

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

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

Diagonal quasi-Newton updating formula via variational principle under the log-determinant measure
by: Sim, Hong Seng, et al.
Published: (2015)

Modified Quasi-Newton Methods For Large-Scale Unconstrained Optimization
by: Leong, Wah June
Published: (2003)

A new diagonal gradient-type method for large scale unconstrained optimization
by: Farid, Mahboubeh, et al.
Published: (2013)

Newton Methods to Solve a System of Nonlinear Algebraic Equations
by: Goh, Bean San, et al.
Published: (2015)

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

Newton-raphson power flow solution employing systematically constructed jacobian matrix
by: M.F., Romlie, et al.
Published: (2008)

Newton-Raphson State Estimation Solution Employing Systematically Constructed Jacobian Matrix
by: Mohd Nor, Nursyarizal, et al.
Published: (2009)

Newton-Raphson State Estimation Solution Employing Systematically Constructed Jacobian Matrix
by: Mohd Nor, Nursyarizal, et al.
Published: (2009)

Newton-Raphson Power Flow Solution Employing Systematically Constructed Jacobian Matrix
by: Jegatheesan, Ramiah, et al.
Published: (2008)

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