Advanced search
Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 20, 1989 - Issue 6
Submit an article Journal homepage
33
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

Techniques of linear programming based on the theory of convex cones

P. D'Alessandbo Department of Electrical Engineering, University of l’Aquila, Poggio di Roio, l’Aquila, 67040, Italy
,
Manuela Dalla Moba Department of Electrical Engineering, University of l’Aquila, Poggio di Roio, l’Aquila, 67040, Italy
&
Elena De Santis Department of Electrical Engineering, University of l’Aquila, Poggio di Roio, l’Aquila, 67040, Italy
Pages 761-777 | Received 01 Apr 1988, Published online: 27 Jun 2007

References

  • Dantzig , J.B. 1963 . Linear Programming and extensions , Princeton, New Jersey : Princeton University Press .
  • Polyak , B.T. and Tretyakov . 1972 . On an iterative method for linear programming and its economic interpretation . Economics and Math. Methods , 8 ( 5 ) : 740 – 751 . (in Russian)
  • Sosnowski , J.S. Linear Programming via augmented Lagrangian and conjugate gradient method . Methods of Mathematical Programming. Proceedings of a 1977 conference in Zakopane . Edited by: Alttkiewtcz , S.W. and Wierzbicki , A.I. Warsaw : Polish scientific Publishers .
  • Khachiyan , L.J. 1979 . A polynomial algorithm in linear programming . Soviet math. Doklady , 20 : 191 – 194 .
  • Khachiyan , L.J. 1980 . Polynomial algorithms in linear programming . USSR Computational Mathematics and Mathematical physics , 20 : 53 – 72 .
  • Mangasarian , O.L. and Meyer , R.R. 1979 . Nonlinear perturbations of linear programs . SIAM Journal of Control and Optimization , 17 : 745 – 752 .
  • Mangasarian , O.L. 1984 . Normal solution of Linear Programs . Mathematical Programming study , 22 : 206 – 216 .
  • Mangasarian , O.L. 1984 . Sparsity preserving SOR algorithms for separable quadratic and linear programming . Computer and Operations Research , 11 : 105 – 112 .
  • Karmarkar , N.K. 1984 . A new polynomial time algorithm for linear programming . Com-binatorica , 4 : 373 – 395 .
  • Murty Katta , G. Linear programming , J. Wiley & Sons .
  • Körte , B. Sep 1979 . “ Optimization and Operations Research ” . In Collections of lectures presented at the summer school held at the University of Bonn , Sep , N. Holland . 1982
  • Robers , P.D. and Ben-Israel , A. 1970 . A Suboptimization Method for Interval Linear Programming . Linear Algebra and its applications , 8 Sep : 383 – 405 .
  • D'Alessandro , P. , Dalla Mora , M. and De Santis , E. 1985 . On consistency of linear linearly constrained discrete time systems . International Journal of the Franklin Institute , 319 ( 4 ) Sep : 423 – 430 .
  • Stoer , J. and Witzgall , C. 1970 . Convexity and Optimization in Finite Dimension I , New York : Springer-Verlag .
  • Ben-Israel , A. 1964 . Notes on linear inequalities, I: the intersection of the nonnegative orthant with complementary orthogonal subspaces . J. of the Mathematical Analysis and Applications , 9 : 303 – 314 .

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.