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Constrained global optimization of multivariate polynomials using Bernstein branch and prune algorithm

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  • P. Nataraj
  • M. Arounassalame

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  • P. Nataraj & M. Arounassalame, 2011. "Constrained global optimization of multivariate polynomials using Bernstein branch and prune algorithm," Journal of Global Optimization, Springer, vol. 49(2), pages 185-212, February.
    • Handle: RePEc:spr:jglopt:v:49:y:2011:i:2:p:185-212
    DOI: 10.1007/s10898-009-9485-0
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    References listed on IDEAS

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    1. Li, Han-Lin & Chang, Ching-Ter, 1998. "An approximate approach of global optimization for polynomial programming problems," European Journal of Operational Research, Elsevier, vol. 107(3), pages 625-632, June.
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    Cited by:

    1. Titi, Jihad & Garloff, Jürgen, 2019. "Matrix methods for the tensorial Bernstein form," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 254-271.
    2. P. S. Dhabe & P. S. V. Nataraj, 2017. "A parallel Bernstein algorithm for global optimization based on the implicit Bernstein form," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1654-1671, November.
    3. Titi, Jihad & Garloff, Jürgen, 2017. "Matrix methods for the simplicial Bernstein representation and for the evaluation of multivariate polynomials," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 246-258.
    4. P. S. Dhabe & P. S. V. Nataraj, 2017. "The Bernstein algorithm using the modified implicit Bernstein form and its GPU parallelization using CUDA," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(4), pages 826-841, December.
    5. Priyadarshan Dhabe & P. S. V. Nataraj, 2020. "A GPU parallel Bernstein algorithm for polynomial global optimization," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 11(1), pages 21-44, February.
    6. Evrim Dalkiran & Hanif Sherali, 2013. "Theoretical filtering of RLT bound-factor constraints for solving polynomial programming problems to global optimality," Journal of Global Optimization, Springer, vol. 57(4), pages 1147-1172, December.

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