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Laguerre series direct method for variational problems. (English) Zbl 0481.49005
MSC:
49J05Free problems in one independent variable (existence)
33C45Orthogonal polynomials and functions of hypergeometric type
42C05General theory of orthogonal functions and polynomials
References:
[1]Schechter, R. S.,The Variational Method in Engineering, McGraw-Hill, New York, New York, 1967.
[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.
[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.