An algorithm of successive minimization in convex programming

P. J. Laurent; C. Carasso

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1978)

  • Volume: 12, Issue: 4, page 377-400
  • ISSN: 0764-583X

How to cite

top

Laurent, P. J., and Carasso, C.. "An algorithm of successive minimization in convex programming." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 12.4 (1978): 377-400. <http://eudml.org/doc/193330>.

@article{Laurent1978,
author = {Laurent, P. J., Carasso, C.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Successive Minimization; Convex Programming; General Exchange Algorithm; Epfilon-Solution},
language = {eng},
number = {4},
pages = {377-400},
publisher = {Dunod},
title = {An algorithm of successive minimization in convex programming},
url = {http://eudml.org/doc/193330},
volume = {12},
year = {1978},
}

TY - JOUR
AU - Laurent, P. J.
AU - Carasso, C.
TI - An algorithm of successive minimization in convex programming
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1978
PB - Dunod
VL - 12
IS - 4
SP - 377
EP - 400
LA - eng
KW - Successive Minimization; Convex Programming; General Exchange Algorithm; Epfilon-Solution
UR - http://eudml.org/doc/193330
ER -

References

top
  1. 1. C. CARASSO, L'algorithme d'échange en optimisation convexe, Thèse, Grenoble, 1973. 
  2. 2. C. CARASSO, Un algorithme de minimisation de fonctions convexes avec ou sans contraintes : l'algorithme d'échange. 7th I.F.I.P. Conference on Optimizatîon Techniques, Springer-Verlag, 1975, 2, pp. 268-282. Zbl0347.90049
  3. 3 C CARASSO and P J LAURENT, Un algorithme pour la minimisation d'une fonctionnelle convexe sur une variété affine Séminaire d'Analyse numérique, Grenoble, 18 octobre 1973 
  4. 4 C CARASSO and P J LAURENT, Un algorithme de minimisation en chaîne en optimisation convexe Séminaire d'Analyse numérique, Grenoble, 29 janvier 1976 S I A M J Control and Optimization, vol 16, No 2, 1978 pp 209-235 Zbl0383.90086MR525720
  5. 5 C CARASSO and P J LAURENT, Un algorithme general pour l'approximation au sens de Tchebycheff de fonctions bornées sur un ensemble quelconque Approximations-Kolloqmum, Bonn, June 8-12, 1976, Lecture Notes m Math , No 556, Springer-Verlag, Berlin, 1976 Zbl0352.65010MR616090
  6. 6 E W CHENEY and A GOLDSTEIN, Newton's Method for Convex Programming and Tchebyscheff Approximation, Num Math , vol 1, 1959, pp 253-268 Zbl0113.10703MR109430
  7. 7 A A GOLDSTEIN, Constiuctive Real Analysis, Haiper's Series in Modem Mathematics, Harper and Row, 1967 Zbl0189.49703MR217616
  8. 8 P J LAURENT, Approximation et Optimisation, Hermann Pans, 1972 Zbl0238.90058MR467080
  9. 9 P J LAURENT, Exchange Algonthm in Convex Analysis Conference on pproximation theory, The Umv of Texas, Austm, 1973, Acad Press Zbl0326.90051MR331181
  10. 10 R T ROCKAFELLAR, Convex Analysis, Pnnc Umv Press 1970 Zbl0193.18401MR274683
  11. 11 E L STIEFEL, Uber diskrete und lineare Tschebyscheff-ApproximatwnenNum Math , vol 1, 1959, pp 1-28 Zbl0083.11501
  12. 12 E L STIEFELNumencal Methods of Tschebycheff Approximation In On numencal Approximation, R LANGER, Ed , Umv of Wisconsm, 1959, pp 217-232 Zbl0083.35502MR107961
  13. 13 E L STIEFEL, Note on Jordan Elimination, Linear Programming and Tchebycheff Approximation, Num Math , vol 2, 1960, pp 1-17 Zbl0097.32306MR111124
  14. 14 H J TOPFER, Tschebyscheff-Approximation bei nicht erfullter Haarscher Bedingung, Zerts fur angew Math und Mech , vol 45, 1965, T 81-T 82 Zbl0148.04101MR203323
  15. 15 H J TOPFER, Tschebyscheff-Approximation und Austauschverfaren bei nicht erfullter Haarscher Bedingung Tagung, Oberwolfach, 1965 I S N M 7, Birkhauser Verlag 1967, pp 71-89 Zbl0155.48005MR230019

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.