An effective first order reliability method based on Barzilai-Borwein step
From MaRDI portal
Publication:1988795
DOI10.1016/j.apm.2019.08.026zbMath1481.90153OpenAlexW2970863510WikidataQ127330530 ScholiaQ127330530MaRDI QIDQ1988795
Publication date: 24 April 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2019.08.026
reliability indexBarzilai-Borwein step sizeHasofer-Lind-Rackwitz-Fiessler algorithmthe most probable failure point
Nonlinear programming (90C30) Reliability, availability, maintenance, inspection in operations research (90B25) Reliability and life testing (62N05)
Related Items (3)
A Kriging-assisted global reliability-based design optimization algorithm with a reliability-constrained expected improvement ⋮ An analytical framework for local and global system kinematic reliability sensitivity of robotic manipulators ⋮ A first order reliability method based on hybrid conjugate approach with adaptive Barzilai-Borwein steps
Cites Work
- Unnamed Item
- A robust iterative algorithm for structural reliability analysis
- A new analysis on the Barzilai-Borwein gradient method
- Chaos control for numerical instability of first order reliability method
- Gradient methods with adaptive step-sizes
- A Barzilai and Borwein scaling conjugate gradient method for unconstrained optimization problems
- An efficient gradient method with approximate optimal stepsize for large-scale unconstrained optimization
- A new effective approach for computation of reliability index in nonlinear problems of reliability analysis
- A hybrid conjugate finite-step length method for robust and efficient reliability analysis
- Chaotic conjugate stability transformation method for structural reliability analysis
- Efficient structural reliability analysis method based on advanced kriging model
- A new gradient method with an optimal stepsize property
- R-linear convergence of the Barzilai and Borwein gradient method
- The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem
- Two-Point Step Size Gradient Methods
- Structural reliability under combined random load sequences
- Safety index calculation using intervening variables for structural reliability analysis
- Alternate minimization gradient method
- Alternate step gradient method*
- A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
- Adaptive two-point stepsize gradient algorithm
- Relaxed steepest descent and Cauchy-Barzilai-Borwein method
This page was built for publication: An effective first order reliability method based on Barzilai-Borwein step