Perturbation Results for Projecting a Point onto a Linear Manifold
- 1 July 1998
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Matrix Analysis and Applications
- Vol. 19 (3) , 696-700
- https://doi.org/10.1137/S0895479896306604
Abstract
Some new results will be presented on the perturbation analysis for the orthogonal projection of a point onto a linear manifold. The obtained perturbation upper bound is with respect to the distance from the perturbed solution to the unperturbed manifold. Some new results will be presented on the perturbation analysis for the orthogonal projection of a point onto a linear manifold. The obtained perturbation upper bound is with respect to the distance from the perturbed solution to the unperturbed manifold.Keywords
This publication has 7 references indexed in Scilit:
- Existence of Generalized Inverse of Linear Transformations over Finite FieldsFinite Fields and Their Applications, 1998
- Solving Least Squares ProblemsPublished by Society for Industrial & Applied Mathematics (SIAM) ,1995
- Perturbation analysis for the projection of a point to an affine setLinear Algebra and its Applications, 1993
- An O(n 3 L) potential reduction algorithm for linear programmingMathematical Programming, 1991
- On the error estimate for the projection of a point onto a linear manifoldLinear Algebra and its Applications, 1990
- Error analysis of algorithms for computing the projection of a point onto a linear manifoldLinear Algebra and its Applications, 1986
- Numerical computation of the projection of a point onto a polyhedronJournal of Optimization Theory and Applications, 1984