A new two-step gradient-type method for large-scale unconstrained optimization

QR Code

A new two-step gradient-type method for large-scale unconstrained optimization

In this paper, we propose some improvements on a new gradient-type method for solving large-scale unconstrained optimization problems, in which we use data from two previous steps to revise the current approximate Hessian. The new method which we considered, resembles to that of Barzilai and Borwein...

Full description

Bibliographic Details
Main Authors:	Farid, Mahboubeh, Leong, Wah June, Abu Hassan, Malik
Format:	Article
Language:	English
Published:	Pergamon Press 2010
Online Access:	http://psasir.upm.edu.my/id/eprint/12759/ http://psasir.upm.edu.my/id/eprint/12759/1/A%20new%20two.pdf

Similar Items

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

An improved multi-step gradient-type method for large scale optimization
by: Farid, Mahboubeh, et al.
Published: (2011)

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

Gradient method with multiple damping for large-scale unconstrained optimization
by: Sim, Hong Seng, et al.
Published: (2019)

A monotone gradient method via weak secant equation for unconstrained optimization
by: Leong, Wah June, et al.
Published: (2010)

Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization
by: Hong, Seng Sim, et al.
Published: (2018)

Scaled memoryless symmetric rank one method for large-scale unconstrained optimization
by: Leong, Wah June, et al.
Published: (2008)

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

Scaled memoryless BFGS preconditioned steepest descent method for very large-scale unconstrained optimization
by: Leong, Wah June, et al.
Published: (2009)

A scaled three-term conjugate gradient method for unconstrained optimization
by: Arzuka, Ibrahim, et al.
Published: (2016)

Positive-definite memoryless symmetric rank one method for large-scale unconstrained optimization
by: Leong, Wah June, et al.
Published: (2011)

Memoryless modified symmetric rank-one method for large-scale unconstrained optimization
by: Modarres, Farzin, et al.
Published: (2009)

Nonmonotone spectral gradient method based on memoryless symmetric rank-one update for large-scale unconstrained optimization
by: Hong, Seng Sim, et al.
Published: (2021)

Preconditioning on subspace quasi-Newton method for large scale unconstrained optimization
by: Sim, Hong Seng, et al.
Published: (2013)

Memoryless quasi-Newton-type methods via some weak secant relations for large-scale unconstrained optimization
by: Lim, Keat Hee, et al.
Published: (2024)

Gradient-Type Methods for Unconstrained Optimization
by: Guan, Hui Shan
Published: (2015)

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

Multiple Alternate Steps Gradient Methods For Unconstrained Optimization
by: Lee, Sui Fong
Published: (2009)

Gradient Type Optimization for Unconstrained Optimization
by: Guan, Hui Shan
Published: (2016)

Towards large scale unconstrained optimization
by: Abu Hassan, Malik
Published: (2007)

Multi-steps symmetric rank-one update for unconstrained optimization
by: Modarres, Farzin, et al.
Published: (2009)

Conjugate gradient methods with sufficient descent condition for large-scale unconstrained optimization
by: Ling, Mei Mei
Published: (2015)

Memoryless symmetric rank-one method based on modified secant equation for large-scale unconstrained optimization
by: Khiyabani, Farzin Modarres, et al.
Published: (2009)

A class of diagonally preconditioned limited memory BFGS method for large scale unconstrained optimization
by: Leong, Wah June, et al.
Published: (2009)

A three-term conjugate gradient method with nonmonotone line search for unconstrained optimization
by: Moyi, Aliyu Usman, et al.
Published: (2016)

Improved Hessian approximation with modified quasi-Cauchy relation for a gradient-type method
by: Leong, Wah June, et al.
Published: (2010)

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

A new gradient method via quasi-Cauchy relation which guarantees descent
by: Abu Hassan, Malik, et al.
Published: (2009)

Globalization of Barzilai and Borwein Method for Unconstrained Optimization
by: Farid, Mahboubeh
Published: (2009)

Improved stochastic gradient descent algorithm with mean-gradient adaptive stepsize for solving large-scale optimization problems
by: Zulkifli, Munierah, et al.
Published: (2023)

Scaled memoryless symmetric rank one method for large-scale optimization.
by: Leong, Wah June, et al.
Published: (2011)

Structured symmetric rank-one method for unconstrained optimization
by: Modarres, Farzin, et al.
Published: (2011)

Sufficient descent three term conjugate gradient method via symmetric rank-one update for large-scale optimization
by: Moyi, Aliyu Usman, et al.
Published: (2016)

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

Efficient ODE-based methods for unconstrained optimization
by: Yap, Chui Ying, et al.
Published: (2018)

Generalized Barzilai and Borwein method for large-scale unconstrained optimization.
by: Koo, Boon Yuan
Published: (2011)

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

Convergence and stability of line search methods for unconstrained optimization.
by: Leong, Wah June, et al.
Published: (2013)

A scalar modification of three-term PRP-DL conjugate gradient method for solving large-scaled unconstrained optimization problems
by: Marjugi, Siti Mahani, et al.
Published: (2024)

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