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Laguerre series direct method for variational problems

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Abstract

A direct method for solving variational problems via Laguerre series is presented. First, an operational matrix for the integration of Laguerre polynomials is introduced. The variational problems are reduced to the solution of algebraic equations. An illustrative example is given.

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References

  1. Schechter, R. S.,The Variational Method in Engineering, McGraw-Hill, New York, New York, 1967.

    Google Scholar 

  2. Chen, C. F., andHsiao, C. H.,A Walsh Series Direct Method for Solving Variational Problems, Journal of the Franklin Institute, Vol. 300, No. 4, 1975.

  3. Sansone, G.,Orthogonal Functions, John Wiley and Sons (Interscience), New York, New York, 1959.

    Google Scholar 

  4. Kelley, H. J.,Gradient Theory of Optimal Flight Paths, ARS Journal, Vol. 30, No. 10, 1960.

  5. Bryson, A. E., Jr., andDenham, W. F.,A Steepest-Ascent Method for Solving Optimum Programming Problems, Journal of Applied Mechanics, Vol. 84, No. 3, 1962.

  6. Miele, A., Pritchard, R. E., andDamoulakis, J. N.,Sequential Gradient Restoration Algorithm for Optimal Control Problems, Journal of Optimization Theory and Applications, Vol. 5, No. 4, 1970.

  7. Miele, A., Tietze, J. L., andLevy, A. V.,Summary and Comparison of Gradient-Restoration Algorithms for Optimal Control Problems, Journal of Optimization Theory and Application, Vol. 10, No. 6, 1972.

  8. Miele, A.,Recent Advances in Gradient Algorithms for Optimal Control Problems, Journal of Optimization Theory and Application, Vol. 17, Nos. 5/6, 1975.

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Communicated by A. Miele

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Hwang, C., Shih, Y.P. Laguerre series direct method for variational problems. J Optim Theory Appl 39, 143–149 (1983). https://doi.org/10.1007/BF00934611

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  • DOI: https://doi.org/10.1007/BF00934611

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