Geodesic
On a Second-Order Step-Size Algorithm
Yugoslav journal of operations research, Tome 12 (2002) no. 1, p. 121 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

In this paper we present a modification of the second-order step-size algorithm. This modification is based on the so called forcing functions. It is proved that this modified algorithm is well-defined. It is also proved that every point of accumulation of the sequence generated by this algorithm is a second-order point of the nonlinear programming problem. Two different convergence proofs are given having in mind two interpretations of the presented algorithm.
Keywords: Forcing function, step-size algorithm, second-order conditions. 
@article{YJOR_2002_12_1_a8,
     author = {Nada I. Djuranovi\'c-Mili\v{c}i\'c},
     title = {On a {Second-Order} {Step-Size} {Algorithm}},
     journal = {Yugoslav journal of operations research},
     pages = {121 },
     year = {2002},
     volume = {12},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2002_12_1_a8/}
}
TY  - JOUR
AU  - Nada I. Djuranović-Miličić
TI  - On a Second-Order Step-Size Algorithm
JO  - Yugoslav journal of operations research
PY  - 2002
SP  - 121 
VL  - 12
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/YJOR_2002_12_1_a8/
LA  - en
ID  - YJOR_2002_12_1_a8
ER  - 
%0 Journal Article
%A Nada I. Djuranović-Miličić
%T On a Second-Order Step-Size Algorithm
%J Yugoslav journal of operations research
%D 2002
%P 121 
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/YJOR_2002_12_1_a8/
%G en
%F YJOR_2002_12_1_a8
Nada I. Djuranović-Miličić. On a Second-Order Step-Size Algorithm. Yugoslav journal of operations research, Tome 12 (2002) no. 1, p. 121 . http://geodesic.mathdoc.fr/item/YJOR_2002_12_1_a8/