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Harnessing Lagrange Multipliers as Optimality Condition for Solving Nonlinear Constrained Optimization Problems

Chikwendu, C. R. Agu, C. M. Unaegbu, E. N. Oranugo, D. O.

Subject area: Science,Engineering and Technology  ·  Area of research: Operation Research

DOI: https://doi.org/10.64388/IREV9I7-1713338

Abstract

This research work succinctly investigated the solution of Nonlinear Optimization Problems using Lagrange Multiplier as optimality condition. The historical development of nonlinear optimization was discussed. The nonlinear constrained optimization problems with equality constraints were solved with the method of Lagrange multiplier.

References

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[3] Clive Newstead (2014). Lagrange Multipliers. Department of Mathematical Sciences, Carnegie Mellon University.

[4] Freund M. Robert (2014). Introduction to Nonlinear Optimization; and Optimality Conditions for Unconstrained Optimization Problems. 2014 Massachusetts Institute of Technology.

[5] Agu, C.M., Unaegbu, E.N. and Chikwendu, C.R. Harnessing Karush-Kuhn-Tucker (KKT) as Optimality Conditions for Solving Nonlinear Constrained Optimization Problems. International Journal of Research and Innovation in Applied Science (IJRIAS) ISSN No. 2454-6194, Vol. 10, Issue 7, July 2024.

[6] Henri P. Gavin and Jerey T. Scruggs (2020). Constrained Optimization Using Lagrange Multipliers. Department of Civil and Environmental Engineering, Duke University. Spring 2020.

[7] Huijuan Li (2008). Lagrange Multipliers and their Application. Department of Electrical Engineering and Computer Science, University of Tennesse, Knoxville, TN37921 USA.

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[9] Rockafellar R. Tyrrel (1993). Lagrange Multipliers and Optimality. Society for Industrial

[10] C. L. Ejikeme, C.L., Unaegbu, E.N., and Okofu, M.B. The Existence of a Periodic Solution of a Boundary Value Problem for a Linear System, IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 11, Issue 4 Ver. I (Jul - Aug. 2015), PP 73-82

[11] Scolt Moura (2014). Nonlinear Programming; System Analysis. University of Califonia, Berkele.

[12] Shang Vi (1997). Global Search Methods for Solving Nonlinear Optimization Problems.

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How to cite this paper

Chikwendu, C. R., Agu, C. M., Unaegbu, E. N., Oranugo, D. O. "Harnessing Lagrange Multipliers as Optimality Condition for Solving Nonlinear Constrained Optimization Problems" Iconic Research And Engineering Journals Volume 9 Issue 7 2026 Page 1367-1376 https://doi.org/10.64388/IREV9I7-1713338
Chikwendu, C. R., Agu, C. M., Unaegbu, E. N., Oranugo, D. O. "Harnessing Lagrange Multipliers as Optimality Condition for Solving Nonlinear Constrained Optimization Problems" Iconic Research And Engineering Journals, vol. 9, no. 7, Jan. 2026, doi: https://doi.org/10.64388/IREV9I7-1713338
Chikwendu, C. R., Agu, C. M., Unaegbu, E. N., Oranugo, D. O. (2026). Harnessing Lagrange Multipliers as Optimality Condition for Solving Nonlinear Constrained Optimization Problems. Iconic Research And Engineering Journals, 9(7). doi: https://doi.org/10.64388/IREV9I7-1713338
Chikwendu, C. R., Agu, C. M., Unaegbu, E. N., Oranugo, D. O. "Harnessing Lagrange Multipliers as Optimality Condition for Solving Nonlinear Constrained Optimization Problems" Iconic Research And Engineering Journals, vol. 9, no. 7, Jan. 2026. Crossref, https://doi.org/10.64388/IREV9I7-1713338
@article{1713338,
      author = {Chikwendu, C. R., Agu, C. M., Unaegbu, E. N., Oranugo, D. O.},
      title = {Harnessing Lagrange Multipliers as Optimality Condition for Solving Nonlinear Constrained Optimization Problems},
      journal = {Iconic Research And Engineering Journals},
      year = {2026},
      volume = {9},
      number = {7},
      pages = {1367-1376},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1713338.pdf},
      abstract = {This research work succinctly investigated the solution of Nonlinear Optimization Problems using Lagrange Multiplier as optimality condition. The historical development of nonlinear optimization was discussed. The nonlinear constrained optimization problems with equality constraints were solved with the method of Lagrange multiplier.},
      month = {January},
      doi = {https://doi.org/10.64388/IREV9I7-1713338}
  }