Some active-set methods are studied for the computation of the projection of a point onto a polyhedron. Special attention is given to the study of the propagation of computation errors. Error bounds for the solution due to the propagation of the data perturbations (inherent errors) are given. Then, an extensive numerical experimentation on test problems is performed. Finally, the errors of the computed solutions are compared with the inherent errors.

Numerical computation of the projection of a point onto a polyhedron

1984

Abstract

Some active-set methods are studied for the computation of the projection of a point onto a polyhedron. Special attention is given to the study of the propagation of computation errors. Error bounds for the solution due to the propagation of the data perturbations (inherent errors) are given. Then, an extensive numerical experimentation on test problems is performed. Finally, the errors of the computed solutions are compared with the inherent errors.
1984
Istituto di Scienza e Tecnologie dell'Informazione "Alessandro Faedo" - ISTI
Projection onto polyhedrons
Active set methods
Orthogonal factorization
Quadratic programming
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/375842
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