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

DOI10.1016/j.camwa.2010.03.014zbMath1198.90395OpenAlexW2147587978MaRDI QIDQ604019

Wah June Leong, Mahboubeh Farid, Malik Abu Hassan

Publication date: 8 November 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://psasir.upm.edu.my/id/eprint/12759/1/A%20new%20two.pdf

zbMATH Keywords

diagonal updatingBarzilai and Borwein methodtwo-step gradient methodweak secant equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Methods of reduced gradient type (90C52)

Related Items (9)

A new simple model trust-region method with generalized Barzilai-Borwein parameter for large-scale optimization ⋮ A vectorial descent stepsize for parameter identification of a coupled parabolic PDE-ODE ⋮ Scaled diagonal gradient-type method with extra update for large-scale unconstrained optimization ⋮ A low memory solver for integral equations of Chandrasekhar type in the radiative transfer problems ⋮ An improved multi-step gradient-type method for large scale optimization ⋮ A two-step matrix-free secant method for solving large-scale systems of nonlinear equations ⋮ Accelerated diagonal gradient-type method for large-scale unconstrained optimization ⋮ A class of diagonal quasi-Newton methods for large-scale convex minimization ⋮ Accumulative approach in multistep diagonal gradient-type method for large-scale unconstrained optimization

Uses Software

• minpack

Cites Work

• Unnamed Item
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• New implicit updates in multi-step quasi-Newton methods for unconstrained optimisation
• R-linear convergence of the Barzilai and Borwein gradient method
• Two-Point Step Size Gradient Methods
• Testing Unconstrained Optimization Software
• Alternate minimization gradient method
• Implicit updates in multistep quasi-Newton methods
• Benchmarking optimization software with performance profiles.

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