Perturbation Results for Projecting a Point onto a Linear Manifold

DOI10.1137/S0895479896306604zbMath0913.65034MaRDI QIDQ4389100

Jiu Ding

Publication date: 11 May 1998

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

condition numberprojectionleast squaresgeneralized inverselinear manifoldminimal distance

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09)

Related Items (9)

Finding the orthogonal projection of a point onto an affine subspace ⋮ New perturbation results for equality-constrained least squares problems ⋮ Perturbation bounds for the metric projection of a point onto a linear manifold in reflexive strictly convex Banach spaces ⋮ Some equivalent conditions of stable perturbation of operators in Hilbert spaces ⋮ A generalization of a classic theorem in the perturbation theory for linear operators ⋮ Lower and upper bounds in the perturbation of general linear algebraic equations ⋮ Perturbation bounds for least squares problems with equality constraints ⋮ Perturbation of systems of linear algebraic equations^∗ ⋮ On the perturbation of least squares problems with equality constraints

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