9
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Solving obstacle problems by using a new infeasible interior point algorithm

以新的非可行內部點演算法解薄膜障礙問題

&
Pages 771-780 | Received 01 May 1998, Accepted 01 Nov 1998, Published online: 30 Mar 2012

References

  • Bazaraa , M.S. and Shetty , C.M. 1979 . Nonlinear programming: theory and algorithms , NY : John Wiely and Sons .
  • Clarlet , P.G. 1978 . “ The finite element method elliptic problems ” . In Studies in Mathematics and Its Application , Edited by: Linos , J.L. Vol. 4 , NY : North-Holland .
  • Fang , S.C. and Puthenpura , S. 1993 . Linear optimization and extensions: theory and application , Englewood Cliffs , NJ : Prentice-Hall .
  • Han , C.G. , Pardalos , P.M. and Ye , Y. 1991 . “Solving some engineering problems using an interior-point algorithm” , University Park , PA : Pennsylvania State University . working paper
  • Hsieh , Y.C. and Bricker , D.L. 1996 . “New infeasible interior point algorithm based on Monomial method” . Computers & Operations Research , 23 : 653 – 666 .
  • Hsieh , Y.C. and Bricker , D.L. 1998 . “Infeasible interior following a path on the complementarity surface“ Technical report (submitted)
  • Hsieh , Y.C. and Bricker , D.L. 1998 . “Following the central trajectory using the monomial method rather than Newton's method” Technical report
  • Monteiro , R.D.C. and Adler , L. 1989a . “Interior path following primal-dual algorithms. Part 1: linear programming” . Mathematical Programming , 44 : 27 – 41 .
  • Monteiro , R.D.C. and Adler , I. 1989b . “Interior path following primal-dual algorithms. Part II: convex quadratic programming” . Mathematical Programming , 44 : 43 – 46 .
  • Monteiro , R.D.C. , Alder , I. and Rescnde , M. 1990 . “A polynomial-time primal-dual affine scaling algorithm for linear and convex quadratic programming and its power extension” . Mathematics of Operations Research , 13 : 191 – 214 .
  • Moré , J.J. and Toraldo , G. 1991 . “On the solution of large quadratic programming problems with bound constraints” . SIAM Journal on Optimization , 1 : 93 – 113 .
  • Rodrigues , J.J. 1987 . “ Obstacle problems in mathematical Physics ” . In North-Holland Mathematics Studies , Edited by: Nachbin , L. Vol. 133 , NY : North-Holland .

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.