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Functional analysis applied to the optimisation of a temperature profile

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Part of the Lecture Notes in Mathematics book series (LNM,volume 503)

Keywords

  • Conjugate Gradient Method
  • Interior Penalty Method
  • Dimensional Minimisation
  • Optimal Temperature Profile
  • Small Spatial Variation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. H.S. HSIEH: Least squares estimation of linear and nonlinear weighting function matrices. Inform. Control 7, 84–115 (1964).

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  2. R. FLETCHER and C.M. REEVES: Function minimisation by conjugate gradients. Computer J. 7, 149–154 (1964).

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  3. L.S. LASDON, S.K. MITTER and A.D. WAREN: The conjugate gradient method for optimal control problems. IEEE Trans. Auto. Control AC-12, 132–138 (1967).

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  4. E. POLAK: Computational methods in optimisation. Academic Press (1971).

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  5. A.V. FIACCO and G.P. McCORMICK: The sequential unconstrained minimisation technique for nonlinear programming—a primal dual method. Management Sci. 10, 360–366 (1964).

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  6. L.S. LASDON, A.D. WAREN and R.K. RICE: An interior penalty method for inequality constrained optimal control problems. IEEE Trans. Auto. Control AC-12, 388–395 (1967).

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  7. M.J. BOX, D. DAVIES and W.H. SWANN: Nonlinear optimisation techniques. Oliver and Boyd (1969).

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  8. D.J. BALL and J.R. HEWIT: The time optimal control of a class of distributed systems. J. IMA. 10, 193–201 (1972).

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  9. D.J. BALL and J.R. HEWIT: An alternative approach to a distributed parameter optimal control problem. Int. J. Systems Sci. 5, 309–316 (1974).

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© 1976 Springer-Verlag

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Ball, D.J., Hewit, J.R. (1976). Functional analysis applied to the optimisation of a temperature profile. In: Germain, P., Nayroles, B. (eds) Applications of Methods of Functional Analysis to Problems in Mechanics. Lecture Notes in Mathematics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088753

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  • DOI: https://doi.org/10.1007/BFb0088753

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07629-2

  • Online ISBN: 978-3-540-38165-5

  • eBook Packages: Springer Book Archive