Diagonal quasi-Newton methods via least change updating principle with weighted Frobenius norm
This paper presents a class of low memory quasi-Newton methods with standard backtracking line search for large-scale unconstrained minimization. The methods are derived by means of least change updating technique analogous to that for the DFP method except that the full quasi-Newton matrix has b...
| Main Authors: | Leong, Wah June, Enshaei, Sharareh, Kek, Sie Long |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2021
|
| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/1127/ http://eprints.uthm.edu.my/1127/1/J12010_5a7e0282f614f0890c3fed53dbfc3ddd.pdf |
Similar Items
Diagonal quasi-Newton method via variational principle under generalized Frobenius norm
by: Enshaei, Sharareh, et al.
Published: (2016)
by: Enshaei, Sharareh, et al.
Published: (2016)
Quasi-Newton method for sparse matrix factorization with frobenius norm regularization
by: June, Leong Wah, et al.
Published: (2024)
by: June, Leong Wah, et al.
Published: (2024)
Diagonal quasi-Newton updating formula using log-determinant norm
by: Sim, Hong Seng, et al.
Published: (2015)
by: Sim, Hong Seng, et al.
Published: (2015)
Diagonal quasi-newton updating strategy with cholesky factor via variational principle
by: Bukar, Tijjani, et al.
Published: (2022)
by: Bukar, Tijjani, et al.
Published: (2022)
A family of least change diagonally quasi-Newton methods for nonlinear equations
by: Leong, Wah June, et al.
Published: (2010)
by: Leong, Wah June, et al.
Published: (2010)
Diagonal quasi-Newton updating formula via variational principle under the log-determinant measure
by: Sim, Hong Seng, et al.
Published: (2015)
by: Sim, Hong Seng, et al.
Published: (2015)
Diagonal hessian approximation for limited memory quasi-newton via variational principle
by: Marjugi, Siti Mahani, et al.
Published: (2013)
by: Marjugi, Siti Mahani, et al.
Published: (2013)
A class of diagonal quasi-newton methods for large-scale convex minimization
by: Leong, Wah June
Published: (2015)
by: Leong, Wah June
Published: (2015)
Newton method for nonlinear system with singular Jacobian using diagonal updating
by: Yusuf, Mohammed Waziri, et al.
Published: (2010)
by: Yusuf, Mohammed Waziri, et al.
Published: (2010)
Some diagonal preconditioners for limited memory quasi-Newton method for large Scale optimization
by: Sim, Hong Seng, et al.
Published: (2013)
by: Sim, Hong Seng, et al.
Published: (2013)
Higher order curvature information and its application in a modified diagonal Secant method
by: Enshaei, Sharareh, et al.
Published: (2018)
by: Enshaei, Sharareh, et al.
Published: (2018)
Diagonal quasi-newton's method for large-scale systems of nonlinear equations
by: Yusuf, Mohammed Waziri
Published: (2011)
by: Yusuf, Mohammed Waziri
Published: (2011)
Modified Quasi-Newton Methods For Large-Scale Unconstrained Optimization
by: Leong, Wah June
Published: (2003)
by: Leong, Wah June
Published: (2003)
Jacobian-free diagonal Newton's method for solving nonlinear systems with singular Jacobian
by: Yusuf, Mohammed Waziri, et al.
Published: (2011)
by: Yusuf, Mohammed Waziri, et al.
Published: (2011)
A new Newtons method with diagonal Jacobian approximation for systems of nonlinear equations
by: Yusuf, Mohammed Waziri, et al.
Published: (2010)
by: Yusuf, Mohammed Waziri, et al.
Published: (2010)
Two-step diagonal Newton method for large-scale systems of nonlinear equations
by: Waziri, Mohammed Yusuf, et al.
Published: (2011)
by: Waziri, Mohammed Yusuf, et al.
Published: (2011)
On the Modifications of a Broyden's Single Parameter Rank-Two Quasi-Newton Method for Unconstrained Minimization
by: Leong, Wah June
Published: (1999)
by: Leong, Wah June
Published: (1999)
A Class of Diagonally Preconditioned Limited Memory Quasi-Newton Methods for Large-Scale Unconstrained Optimization
by: Chen, Chuei Yee
Published: (2009)
by: Chen, Chuei Yee
Published: (2009)
Two-step derivative-free diagonally Newton's method for large-scale nonlinear equations
by: Yusuf, Mohammed Waziri, et al.
Published: (2013)
by: Yusuf, Mohammed Waziri, et al.
Published: (2013)
New quasi-Newton methods via higher order tensor models.
by: Biglari, Fahmeh, et al.
Published: (2011)
by: Biglari, Fahmeh, et al.
Published: (2011)
Preconditioning on subspace quasi-Newton method for large scale unconstrained optimization
by: Sim, Hong Seng, et al.
Published: (2013)
by: Sim, Hong Seng, et al.
Published: (2013)
Preconditioned subspace quasi-newton method for large scale optimization
by: Sim, Hong Seng, et al.
Published: (2014)
by: Sim, Hong Seng, et al.
Published: (2014)
Quasi-Newton methods based on ordinary differential equation approach for unconstrained nonlinear optimization
by: Khiyabani, Farzin Modarres, et al.
Published: (2014)
by: Khiyabani, Farzin Modarres, et al.
Published: (2014)
A Switching Criterion in Hybrid Quasi-Newton
BFGS - Steepest Descent Direction
by: Abu Hassan, Malik, et al.
Published: (1999)
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)
by: Khiyabani, Farzin Modarres, et al.
Published: (2010)
A new gradient method via least change secant update
by: Leong, Wah June, et al.
Published: (2011)
by: Leong, Wah June, et al.
Published: (2011)
An efficient solver for systems of nonlinear equations with singular Jacobian via diagonal updating
by: Waziri, Mohammed Yusuf, et al.
Published: (2010)
by: Waziri, Mohammed Yusuf, et al.
Published: (2010)
Scaled diagonal gradient-type method with extra update for large-scale unconstrained optimization
by: Farid, Mahboubeh, et al.
Published: (2013)
by: Farid, Mahboubeh, et al.
Published: (2013)
A gauss-newton approach for nonlinear optimal control problem with model-reality differences
by: Sie, Long Kek, et al.
Published: (2017)
by: Sie, Long Kek, et al.
Published: (2017)
A matrix-free quasi-Newton method for solving large-scale nonlinear systems.
by: Leong, Wah June, et al.
Published: (2011)
by: Leong, Wah June, et al.
Published: (2011)
Memoryless quasi-Newton-type methods via some weak secant relations for large-scale unconstrained optimization
by: Lim, Keat Hee, et al.
Published: (2024)
by: Lim, Keat Hee, et al.
Published: (2024)
Proximal variable metric method with spectral diagonal update for large scale sparse optimization
by: Woo, Gillian Yi Han, et al.
Published: (2023)
by: Woo, Gillian Yi Han, et al.
Published: (2023)
Solutions Of The Frobenius Class Equation In Alternating Groups
by: Kholil, Shuker Mahmood
Published: (2012)
by: Kholil, Shuker Mahmood
Published: (2012)
Enhanced BFGS quasi-newton backpropagation models on MCCI data
by: Md. Ghani, Nor Azura, et al.
Published: (2017)
by: Md. Ghani, Nor Azura, et al.
Published: (2017)
A class of diagonal preconditioners for limited memory BFGS method.
by: Leong, Wah June, et al.
Published: (2013)
by: Leong, Wah June, et al.
Published: (2013)
Preconditioning Subspace Quasi-Newton Method for Large Scale Unconstrained Optimization
by: Sim, Hong Sen
Published: (2011)
by: Sim, Hong Sen
Published: (2011)
Diagonal preconditioned conjugate gradient algorithm for unconstrained optimization
by: Ng, Choong Boon, et al.
Published: (2014)
by: Ng, Choong Boon, et al.
Published: (2014)
Nonlinear least squares parameter estimation problem using Levenberg-Marquardt method
by: Kaw, Wei Ching, et al.
Published: (2017)
by: Kaw, Wei Ching, et al.
Published: (2017)
Partial Newton methods for a system of equations
by: Goh, Bean San, et al.
Published: (2013)
by: Goh, Bean San, et al.
Published: (2013)
New Quasi-Newton Equation And Method Via Higher Order Tensor Models
by: Gholilou, Fahimeh Biglari
Published: (2010)
by: Gholilou, Fahimeh Biglari
Published: (2010)
Similar Items
-
Diagonal quasi-Newton method via variational principle under generalized Frobenius norm
by: Enshaei, Sharareh, et al.
Published: (2016) -
Quasi-Newton method for sparse matrix factorization with frobenius norm regularization
by: June, Leong Wah, et al.
Published: (2024) -
Diagonal quasi-Newton updating formula using log-determinant norm
by: Sim, Hong Seng, et al.
Published: (2015) -
Diagonal quasi-newton updating strategy with cholesky factor via variational principle
by: Bukar, Tijjani, et al.
Published: (2022) -
A family of least change diagonally quasi-Newton methods for nonlinear equations
by: Leong, Wah June, et al.
Published: (2010)