Upper Perturbation Bounds of Weighted Projections, Weighted and Constrained Least Squares Problems

DOI10.1137/S0895479898336306zbMath0953.65027OpenAlexW1979952360MaRDI QIDQ4943669

Musheng Wei, Alvaro Rodolfo de Pierro

Publication date: 19 March 2000

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

Full work available at URL: https://doi.org/10.1137/s0895479898336306

zbMATH Keywords

least squares problemsperturbation bounds

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (9)

On condition numbers of the total least squares problem with linear equality constraint ⋮ Effective condition number for weighted linear least squares problems and applications to the Trefftz method ⋮ Computing Time-Varying ML-Weighted Pseudoinverse by the Zhang Neural Networks ⋮ Weighted projections and Riesz frames ⋮ Multiplicative perturbation bounds for multivariate multiple linear regression in Schatten \(p\)-norms ⋮ Determinantal representation of weighted generalized inverses ⋮ Some new properties of the equality constrained and weighted least squares problem ⋮ Cramer's rules for various solutions to some restricted quaternionic linear systems ⋮ Multidimensional Total Least Squares Problem with Linear Equality Constraints

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