Solution of variational problems via general orthogonal polynomials

DOI10.1080/00207728808967615zbMath0639.49015OpenAlexW2159807581MaRDI QIDQ3781654

Shuh-Chuan Tsay, Tsu-Tian Lee

Publication date: 1988

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728808967615

zbMATH Keywords

algorithmvariational problemsgeneral orthogonal polynomials

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for free problems in one independent variable (49K05)

Related Items (1)

Error bound on the solution of a linear differential equation in Chebyshev series

Cites Work

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• Shifted Legendre direct method for variational problems
• Laguerre series direct method for variational problems
• A Walsh series direct method for solving variational problems
• Application of general orthogonal polynomials to the optimal control of time-varying linear systems

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