Compatibility of approximate solutions of inaccurate linear equations

DOI10.1016/0024-3795(76)90027-6zbMath0412.65031OpenAlexW2025983412MaRDI QIDQ1259885

Zdislav V. Kovarik

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0024-3795(76)90027-6

zbMATH Keywords

perturbationsapproximate solutionmatrix equationslinear operatordifferential and integral equationsmonotone normcomputable criteriadifferent measures of perturbations

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Matrix equations and identities (15A24) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Numerical solutions to equations with nonlinear operators (65J15) Linear equations (linear algebraic aspects) (15A06)

Related Items

Condition numbers and backward perturbation bound for linear matrix equations ⋮ Componentwise perturbation theory for linear systems with multiple right- hand sides ⋮ Spectrum localization in Banach spaces. II ⋮ Spectrum localization in Banach spaces. I

Cites Work

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• Once again: The least square problem