Projection method with residual selection for linear feasibility problems
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 27 (2007) no. 1, pp. 43-50.

Voir la notice de l'article provenant de la source Library of Science

We propose a new projection method for linear feasibility problems. The method is based on the so called residual selection model. We present numerical results for some test problems.
Keywords: projection method, linear feasibility, residual selection
@article{DMDICO_2007_27_1_a2,
     author = {Dylewski, Robert},
     title = {Projection method with residual selection for linear feasibility problems},
     journal = {Discussiones Mathematicae. Differential Inclusions, Control and Optimization},
     pages = {43--50},
     publisher = {mathdoc},
     volume = {27},
     number = {1},
     year = {2007},
     zbl = {1152.65435},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMDICO_2007_27_1_a2/}
}
TY  - JOUR
AU  - Dylewski, Robert
TI  - Projection method with residual selection for linear feasibility problems
JO  - Discussiones Mathematicae. Differential Inclusions, Control and Optimization
PY  - 2007
SP  - 43
EP  - 50
VL  - 27
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMDICO_2007_27_1_a2/
LA  - en
ID  - DMDICO_2007_27_1_a2
ER  - 
%0 Journal Article
%A Dylewski, Robert
%T Projection method with residual selection for linear feasibility problems
%J Discussiones Mathematicae. Differential Inclusions, Control and Optimization
%D 2007
%P 43-50
%V 27
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMDICO_2007_27_1_a2/
%G en
%F DMDICO_2007_27_1_a2
Dylewski, Robert. Projection method with residual selection for linear feasibility problems. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 27 (2007) no. 1, pp. 43-50. http://geodesic.mathdoc.fr/item/DMDICO_2007_27_1_a2/

[1] A. Cegielski, Relaxation Methods in Convex Optimization Problems, Higher College of Engineering, Series Monographs, No. 67, Zielona Góra, 1993 (Polish).

[2] A. Cegielski, Projection onto an acute cone and convex feasibility problems, J. Henry and J.-P. Yvon (eds.), Lecture Notes in Control and Information Science 197 (1994), 187-194.

[3] K.C. Kiwiel, Monotone Gram matrices and deepest surrogate inequalities in accelerated relaxation methods for convex feasibility problems, Linear Algebra and Its Applications 252 (1997), 27-33.

[4] A. Cegielski, A method of projection onto an acute cone with level control in convex minimization, Mathematical Programming 85 (1999), 469-490.

[5] A. Cegielski and R. Dylewski, Selection strategies in projection methods for convex minimization problems, Discuss. Math. Differential Inclusions, Control and Optimization 22 (2002), 97-123.

[6] A. Cegielski and R. Dylewski, Residual selection in a projection method for covex minimization problems, Optimization 52 (2003), 211-220.