Perturbation bounds for the least squares problem

DOI10.1007/BF02366509zbMath0877.15005MaRDI QIDQ1364065

A. N. Khimich

Publication date: 24 August 1997

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

zbMATH Keywords

singular value decompositionleast squares problemnormal pseudosolutionperturbation bounds

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 (11)

Weighted pseudoinversion with singular weights ⋮ Solving ill-posed problems of the theory of elasticity using high-performance computing systems ⋮ Existence and uniqueness of weighted pseudoinverses with nonsingular indefinite weights ⋮ Existence and uniqueness of weighted normal pseudosolutions ⋮ Variational statements and discretization of the boundary-value problem of elasticity where stress at the boundary is known ⋮ Methods for obtaining reliable solutions to systems of linear algebraic equations ⋮ Expansions of weighted pseudoinverses with mixed weights into matrix power series and power products ⋮ Solution bounds for overdetermined slae with inexact right-hand side ⋮ Iterative methods to calculate weighted pseudoinverses with mixed weights ⋮ Reliability analysis of computer solutions of systems of linear algebraic equations with approximate initial data ⋮ Weighted singular value decomposition of matrices with singular weights based on weighted orthogonal transformations

Cites Work

• Perturbation bounds in connection with singular value decomposition
• Unnamed Item
• Unnamed Item

This page was built for publication: Perturbation bounds for the least squares problem