Geodesic
MONOTONICITY OF THE LAGRANGIAN FUNCTION IN THE PARAMETRIC INTERIOR POINT METHODS OF CONVEX PROGRAMMING
Acta mathematica Universitatis Comenianae, Tome 61 (1992) no. 1 
M. Hamala; M. Halicka. MONOTONICITY OF THE LAGRANGIAN FUNCTION IN THE PARAMETRIC INTERIOR POINT METHODS OF CONVEX PROGRAMMING. Acta mathematica Universitatis Comenianae, Tome 61 (1992) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1992_61_1_a4/
@article{AMUC_1992_61_1_a4,
     author = {M. Hamala and M. Halicka},
     title = {MONOTONICITY {OF} {THE} {LAGRANGIAN} {FUNCTION} {IN} {THE} {PARAMETRIC} {INTERIOR} {POINT} {METHODS} {OF} {CONVEX} {PROGRAMMING}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1992},
     volume = {61},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1992_61_1_a4/}
}
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Voir la notice de l'article provenant de la source Comenius University

Monotonicity of the Lagrangian function corresponding to the general root quasibarrier as well as to the general inverse barrier function of convex programming is proved. It is shown that monotonicity generally need not take place. On the other hand for LP-problems with some special structure monotonicity is proved for a very general class of interior point transformation functions.