Geodesic
On a Second-Order Step-Size Algorithm
Yugoslav journal of operations research, Tome 12 (2002) no. 1, p. 121

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 },
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {2002},
     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
PB  - mathdoc
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
%I mathdoc
%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/