Perturbation of systems of linear algebraic equations∗

DOI10.1080/03081080008818637zbMath0956.15003OpenAlexW2151400426MaRDI QIDQ4487064

Jiu Ding

Publication date: 2 March 2001

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080008818637

zbMATH Keywords

perturbationsgeneralized inverseleast squares problemMoore-Penrose inverselinear algebraic equationsminimal norm solutionnonsingular systems

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Linear equations (linear algebraic aspects) (15A06)

Related Items (4)

Some new perturbation theorems for generalized inverses of linear operators in Banach spaces ⋮ Perturbation analysis of singular linear systems with arbitrary index. ⋮ Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces ⋮ New perturbation results on pseudo-inverses of linear operators in Banach spaces

Cites Work

• Perturbation of the least squares problem
• Numerical computation of the scattering frequencies for acoustic wave equations
• The perturbation of consistent least squares problems
• Perturbation analysis for the projection of a point to an affine set
• Finite approximations of Frobenius-Perron operators. A solution of Ulam's conjecture to multi-dimensional transformations
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• A convergence rate analysis for markov finite approximations to a class of Frobenius-Perron operators
• Perturbation Results for Projecting a Point onto a Linear Manifold
• Perturbation theory for pseudo-inverses
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