30
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Computational results of the optimal control of the diffusion equation with the extended conjugate gradient algorithm

, &
Pages 247-258 | Received 22 Jun 1999, Published online: 20 Mar 2007

References

  • Aderibigbe , F.. 1987 . “ An Extended Conjugate Gradient Method Algorithm for Evolution Equations ” . In Ph.D. Thesis , Ilorin, , Nigeria : University of Ilorin .
  • Curtain , R.. and Pritchard , A.. 1977 . Functional Analysis in Modern Applied Mathematics , Academic press .
  • Duchateau , . and Zachmann , D.. 1986 . Partial Differential Equations , McGraw-Hill publishing company .
  • Hardorff , . 1976 . Gradient Optimization and Nonlinear Control , John wiley & Sons .
  • Gelfand , I.. and Fomin , S.. 1963 . Calculus of variations , 226 Prentice-Hall .
  • Hestenes , M.. 1980 . Conjugate Direction Methods in Optimization , Springer-Verlag .
  • Ibiejugba , M.. 1990 . A penalty optimization technique for a class of regulator problems . Journals of Optimization Theory and Applications , 64 ( 3 ) : 527 – 546 . part III
  • Ibiejugba , M.. and Rubio , J.. 1988 . A penalty optimization technique for a class of regulator problems . Journals of Optimization Theory and Applications Part 2 , 58 ( 3 ) : 39 – 62 .
  • Ibiejugba , M.. and Onumanyi , . 1984 . A Control Operator and Some of Its Applications . J. Math. Anal and Appl , 58 ( 1 ) : 31 – 47 .
  • Ibiejugba , M.. 1980 . “ Computing Methods in optimal control ” . In Ph.D. Thesis , Leeds, , England : University of Leeds .
  • Ibiejugba , M.. , Rubio , J.. and Orisamolu , . 1986 . A penalty Optimization Technique for A class of regulator problems . ABACUS , 17 ( 1 ) : 19 – 50 .
  • Lauwerier , H.. Calculus of variation in Mathematical Physics , Vol. 14 , Amsterdam : Mathematical Centre Tracts .
  • Reju , S.. 1995 . “ Computational Optimization in Mathematical Physics ” . In Ph.D. Thesis , Ilorin, , Nigeria : University of Ilorin .
  • Reju , S.. , Ibiejugba , M.. and Evans , J.. 1999 . An Extended Conjugate Gradient Algorithm for the Diffusion Equation . Intern. J. Computer Math , 72 : 81 – 99 .
  • Reju , S.. and Ibiejugba , M.. 1998 . An Extended Conjugate Gradient Algorithm for the Diffusion Equation . AMSE J. Modelling , 72 Simulation and Control. Accepted and to appear
  • Schuh , W.. 1985 . “ Quick Computation of Geodetic Networks Using Special Properties of the Eigenvalues ” . In Optimization and Design of Geodetic Networks , Edited by: Grafarend , E.. and sanso , . 185 – 195 . Springer-Verlag .
  • Singh , M.. and Titli , . 1978 . SYSTEMS {Decomposition, Optimization and Control) , Pergamon press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.