Geodesic
Inexact solution of auxiliary problems in Polyak type algorithms
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 38 (1999) no. 1, pp. 25-30

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
Classification : 65K05, 90C20 
Dostál, Zdeněk. Inexact solution of auxiliary problems in Polyak type algorithms. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 38 (1999) no. 1, pp. 25-30. http://geodesic.mathdoc.fr/item/AUPO_1999_38_1_a2/
@article{AUPO_1999_38_1_a2,
     author = {Dost\'al, Zden\v{e}k},
     title = {Inexact solution of auxiliary problems in {Polyak} type algorithms},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     pages = {25--30},
     year = {1999},
     volume = {38},
     number = {1},
     mrnumber = {1767187},
     zbl = {0972.90052},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUPO_1999_38_1_a2/}
}
TY  - JOUR
AU  - Dostál, Zdeněk
TI  - Inexact solution of auxiliary problems in Polyak type algorithms
JO  - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY  - 1999
SP  - 25
EP  - 30
VL  - 38
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AUPO_1999_38_1_a2/
LA  - en
ID  - AUPO_1999_38_1_a2
ER  - 
%0 Journal Article
%A Dostál, Zdeněk
%T Inexact solution of auxiliary problems in Polyak type algorithms
%J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
%D 1999
%P 25-30
%V 38
%N 1
%U http://geodesic.mathdoc.fr/item/AUPO_1999_38_1_a2/
%G en
%F AUPO_1999_38_1_a2

[1] Bazaraa M. S., Shetty C. M.: Nonlinear Programming. J. Wiley, New York, 1979. | MR | Zbl

[2] Dostál Z.: Direction of large decrease and quadratic programming. Proceedings of the X-th Summer School on Software and Algorithms of Numerical Mathematics, published by Charles University, Prague, 1993, 1-9.

[3] Dostál Z.: Box constrained quadratic programming with proportioning and projections. SIAM J. Optimization 7, 3 (1997), 871-887. | MR

[4] Friedlander A., Martinez M.: On the maximization of a concave quadratic function with box constraints. SIAM J. Optimization 4 (1994), 177-192. | MR | Zbl

[5] O’Leary D. P.: A generalised conjugate gradient algorithm for solving a class of quadratic programming problems. Lin. Alg. Appl. 34 (1980), 371-399. | MR

[6] Polyak B. T.: The conjugate gradient method in extremal problems. USSR Comput. Math. and Math. Phys. 9 (1969), 94-112 | Zbl