# On the set of weighted least squares solutions of systems of convex inequalities

Alfredo Noel Iusem; Álvaro Rodolfo De Pierro

Commentationes Mathematicae Universitatis Carolinae (1984)

- Volume: 025, Issue: 4, page 667-678
- ISSN: 0010-2628

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topIusem, Alfredo Noel, and De Pierro, Álvaro Rodolfo. "On the set of weighted least squares solutions of systems of convex inequalities." Commentationes Mathematicae Universitatis Carolinae 025.4 (1984): 667-678. <http://eudml.org/doc/17349>.

@article{Iusem1984,

author = {Iusem, Alfredo Noel, De Pierro, Álvaro Rodolfo},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {convex inequalities; convex sets; projection; weighted least squares; set of fixed points},

language = {eng},

number = {4},

pages = {667-678},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {On the set of weighted least squares solutions of systems of convex inequalities},

url = {http://eudml.org/doc/17349},

volume = {025},

year = {1984},

}

TY - JOUR

AU - Iusem, Alfredo Noel

AU - De Pierro, Álvaro Rodolfo

TI - On the set of weighted least squares solutions of systems of convex inequalities

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1984

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 025

IS - 4

SP - 667

EP - 678

LA - eng

KW - convex inequalities; convex sets; projection; weighted least squares; set of fixed points

UR - http://eudml.org/doc/17349

ER -

## References

top- Y. CENSOR, Row-action methods for huge and sparse systems and their application, SIAM Rev. Vol. 23: 444-466 (1981). (1981) MR0636080
- A. DE PIERRO A. N. IUSEM, A Simultaneous Projections Method for Linear Inequalities, To be published in Linear Algebra and its Applications.
- A. DE PIERRO A. N. IUSEM, A Parallel Projection Method for Finding a Common Point of a Family of Convex Sets, Informes de Matemática, Série B-021/84 IMPA, Rio de Janeiro, (1984). (1984)
- A. DE PIERRO A. N. IUSEM, A Simultaneous Iterative Method for Computing Projections on Polyhedra, To be published.
- G. T. HERMAN, Image Reconstruction from Projections: The Fundamentals of Computerized Tomography, Academic Press, New York, 1980. (1980) Zbl0538.92005MR0630896
- G. T. HERMAN A. LENT, Iterative Reconstruction Algorithms, Comput. Biol. Med. 6: 273-294 (1976), (1976)
- R. J. ROCKAFELLER, Convex Analysis, Cambridge Univ. Press. Cambridge, Mass. (1970). (1970)

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