Matrice pseudo-inverse de Moore-Penrose et variables duales généralisées en programmation mathématique

M. Desplas

RAIRO - Operations Research - Recherche Opérationnelle (1992)

  • Volume: 26, Issue: 4, page 313-360
  • ISSN: 0399-0559

How to cite

top

Desplas, M.. "Matrice pseudo-inverse de Moore-Penrose et variables duales généralisées en programmation mathématique." RAIRO - Operations Research - Recherche Opérationnelle 26.4 (1992): 313-360. <http://eudml.org/doc/105043>.

@article{Desplas1992,
author = {Desplas, M.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {Moore-Penrose pseudo-inverse matrix; sensitivity analysis; envelop theorem; simplex tableaux; dual variables},
language = {fre},
number = {4},
pages = {313-360},
publisher = {EDP-Sciences},
title = {Matrice pseudo-inverse de Moore-Penrose et variables duales généralisées en programmation mathématique},
url = {http://eudml.org/doc/105043},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Desplas, M.
TI - Matrice pseudo-inverse de Moore-Penrose et variables duales généralisées en programmation mathématique
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1992
PB - EDP-Sciences
VL - 26
IS - 4
SP - 313
EP - 360
LA - fre
KW - Moore-Penrose pseudo-inverse matrix; sensitivity analysis; envelop theorem; simplex tableaux; dual variables
UR - http://eudml.org/doc/105043
ER -

References

top
  1. 1. M. AOKI, Introduction to Optimization Techniques, Mac Millan, 1971. Zbl0243.90031
  2. 2. W. J. BAUMOL et T. FABIAN, Decomposition Pricing for Decentralization and External Economies, Management Sci., 11, (1), September 1964. 
  3. 3. J. BOUZITAT, Emploi des matrices pseudo-inverses en programmation quadratique convexe (contraintes quadratiques), Cah. Groupe Math. Econ., n° 3, juin 1980. 
  4. 4. S. L. CAMPBELL et C. D. MEYER, Generalized Inverses of Linear Transformations, Pittman, 1979. Zbl0417.15002
  5. 5. A. V. FIACCO, Introduction to Sensitivity and Stability Analysis in Nonlinear Programming, Academic Press, 1983. Zbl0543.90075MR721641
  6. 6. Y. IJIRI, Objectifs et contrôle de gestion, Dunod, 1970. 
  7. 7. D. LACAZE, Prix duaux et dégénérescence en programmation mathématique, Cah. Groupe Math. Econ., n° 8, avril 1972. Zbl0269.90030
  8. 8. L. D. PYLE, The Generalised Inverse in Linear Programming. Basic Structure, SIAM, 22, n° 3, May 1972. Zbl0244.90026MR309545
  9. 9. L. D. PYLE et R. E. CLINE, The Generalised Inverse in Linear Programming. Interior Gradient Projection Method, SIAM, 24, n° 4, June 1973. Zbl0261.90030MR426842
  10. 10. J. B. ROSEN, The Gradient Projection Method for Non Linear Programming. SIAM, 1960. Zbl0099.36405
  11. 11. G. STRANG, Introduction to Applied Mathematics, Wellesley Cambridge Press, 1986. Zbl0618.00015MR870634
  12. 12. A. TAKAYAMA, Mathematical Economics, 2nd ed, Cambridge University Press. 1988. Zbl0568.90001
  13. 13. D. J. WILDE et C. S. BEIGHTLER, Foundations of Optimization, Prentice Hall, 1967. Zbl0189.19702

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.