Slika na naslovnici

Newton method for nonlinear system with singular Jacobian using diagonal updating

It is well known that when the Jacobian of nonlinear systems is nonsingular in the neighborhood of the solution, the convergence of Newton method to a solution x* of F(x) = 0 is guaranteed and the rate is quadratic. Violating this condition, i.e. the Jacobian to be singular the convergence may be un...

Shranjeno v:

Bibliografske podrobnosti
Main Authors:	Yusuf, Mohammed Waziri, Leong, Wah June, Abu Hassan, Malik, Monsi, Mansor
Format:	Article
Jezik:	English
Izdano:	Centre for Environment, Social and Economic Research Publications 2010
Online dostop:	http://psasir.upm.edu.my/id/eprint/15810/1/Newton%20method%20for%20nonlinear%20system%20with%20singular%20Jacobian%20using%20diagonal%20updating.pdf
Oznake:	Označite Brez oznak, prvi označite!

Podobne knjige/članki

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

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

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

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

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

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

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

Diagonal quasi-Newton's method for large-scale systems of nonlinear equations /
od: Yusuf, Mohammed Waziri.

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

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

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

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

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

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

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

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

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

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

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

Diagonal quasi-newton updates using variational principle under generalized norm
od: Enshaei, Sharareh
Izdano: (2017)

Diagonal quasi-newton updates using variational principle under generalized norm /
od: Enshaei, Sharareh.
Izdano: (2017)

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

Scaled diagonal gradient-type method with extra update for large-scale unconstrained optimization
od: Farid, Mahboubeh, et al.
Izdano: (2013)

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

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

Modified quasi-newton methods for large-scale unconstrained optimization /
od: Leong, Wah June.

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

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

A new gradient method via least change secant update
od: Leong, Wah June, et al.
Izdano: (2011)

Proximal variable metric method with spectral diagonal update for large scale sparse optimization
od: Woo, Gillian Yi Han, et al.
Izdano: (2023)

Preconditioned subspace quasi-newton method for large scale optimization
od: Sim, Hong Seng, et al.
Izdano: (2014)

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

Newton Methods for Nonlinear Problems Affine Invariance and Adaptive Algorithms /
od: Deuflhard, Peter., et al.
Izdano: (2011)

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

On the Modifications of a Broyden's Single Parameter Rank-Two Quasi-Newton Method for Unconstrained Minimization
od: Leong, Wah June
Izdano: (1999)

On the Modifications of a Broyden's Single Parameter Rank-Two Quasi-Newton Method for Unconstrained Minimization
od: Leong, Wah June
Izdano: (1999)

On the modifications of a broyden's single parameter rank-two quasi-Newton method for unconstrained minimization /
od: Leong, Wah June.

A class of diagonal preconditioners for limited memory BFGS method.
od: Leong, Wah June, et al.
Izdano: (2013)

A restarting approach on symmetric rank one update for unconstrained optimization
od: Leong, Wah June, et al.
Izdano: (2009)

Limited memory methods with improved symmetric rank-one updates and its applications on nonlinear image restoration
od: Khiyabani, Farzin Modarres, et al.
Izdano: (2014)