A parallel Bernstein algorithm for global optimization based on the implicit Bernstein form

Author:

Dhabe P. S.,Nataraj P. S. V.ORCID

Publisher

Springer Science and Business Media LLC

Subject

Strategy and Management,Safety, Risk, Reliability and Quality

Reference29 articles.

1. Cesar Munoz AN (2013) Formalization of a representation of Bernstein polynomials and applications to global optimization. Autom Reason 51(2):151–196

2. Dhabe PS (2014) Parallelization of Bernstein algorithms. Ph. D. annual progress report, systems and control engineering, Indian Institute of Technology, Bombay, India

3. Farber R (2011) CUDA application design and development. Morgan Kaufmann, Boston

4. Garloff J (1993) The Bernstein algorithm. Interval Comput 2:164–168

5. Garloff J (2003) The Bernstein expansion and its applications. J Am Rom Acad 25:27

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Safe, Optimal, Real-Time Trajectory Planning With a Parallel Constrained Bernstein Algorithm;IEEE Transactions on Robotics;2021-06

2. A GPU parallel Bernstein algorithm for polynomial global optimization;International Journal of System Assurance Engineering and Management;2019-12-12

3. Matrix methods for the tensorial Bernstein form;Applied Mathematics and Computation;2019-04

4. The Bernstein algorithm using the modified implicit Bernstein form and its GPU parallelization using CUDA;International Journal of System Assurance Engineering and Management;2017-10-23

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