L'addition parallèle d'opérateurs interprétée comme inf-convolution de formes quadratiques convexes

M.-L. Mazure

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1986)

  • Volume: 20, Issue: 3, page 497-515
  • ISSN: 0764-583X

How to cite

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Mazure, M.-L.. "L'addition parallèle d'opérateurs interprétée comme inf-convolution de formes quadratiques convexes." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 20.3 (1986): 497-515. <http://eudml.org/doc/193488>.

@article{Mazure1986,
author = {Mazure, M.-L.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {inf-convolution of quadratic forms; parallel circuits; resistance; parallel sum; inf-convolution of convex functions},
language = {fre},
number = {3},
pages = {497-515},
publisher = {Dunod},
title = {L'addition parallèle d'opérateurs interprétée comme inf-convolution de formes quadratiques convexes},
url = {http://eudml.org/doc/193488},
volume = {20},
year = {1986},
}

TY - JOUR
AU - Mazure, M.-L.
TI - L'addition parallèle d'opérateurs interprétée comme inf-convolution de formes quadratiques convexes
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1986
PB - Dunod
VL - 20
IS - 3
SP - 497
EP - 515
LA - fre
KW - inf-convolution of quadratic forms; parallel circuits; resistance; parallel sum; inf-convolution of convex functions
UR - http://eudml.org/doc/193488
ER -

References

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  1. [1] W. N. ANDERSON Jr., Shorted Operators, SIAM J. AppL Math., 20 (1971) pp. 520-525. Zbl0217.05503MR287970
  2. [2] W. N. ANDERSON Jr. and R. J. DUFFIN, Series and parallel addition of matrices, J. Math. Anal. Appl., 26 (1969) pp. 576-594. Zbl0177.04904MR242573
  3. [3] W. N. ANDERSON Jr. and M. SHREIBER, On the infimum of two projections, Acta Sci Math. (Szeged), 33 (1972) pp. 165-168. Zbl0258.46023MR322486
  4. [4] W. N. ANDERSON Jr. and G. E. TRAPP, Inequalities for the parallel connection of resistive n. port networks, J. Franklin Inst., 5 (1975) pp. 305-313. Zbl0349.94044MR429347
  5. [5] W. N. ANDERSON Jr. and G. TRAPP, Shorted Operators, SIAM J. Appl. Math., 28 (1975) pp. 60-71. Zbl0295.47032MR356949
  6. [6] P. J. LAURENT, Approximation et Optimisation, Hermann (1972). Zbl0238.90058MR467080
  7. [7] J. J. MOREAU, Fonctionnelles convexes, séminaire sur les équations aux dérivées partielles II, Collège de France (1966-1967). MR390443
  8. [8] R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press (1970). Zbl0193.18401MR274683

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