A study of Auchmuty's error estimate

DOI10.1016/S0898-1221(01)00224-3zbMath0985.65039MaRDI QIDQ5948885

Aurel Galantai

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

linear systemnonlinear systemsnumerical examplesprobabilistic analysisa posteriori error estimates

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (5)

Refinements of Kantorovich inequality for Hermitian matrices ⋮ New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces ⋮ Error estimates for linear systems with applications to regularization ⋮ Tuning Parameter Selection in Penalized Frailty Models ⋮ Error estimates for the regularization of least squares problems

Uses Software

• mctoolbox

Cites Work

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• Some remarks on matrix norms, condition numbers, and error estimates for linear equations
• A posteriori error estimates for linear equations
• Numerical range. The field of values of linear operators and matrices
• Bounds for the error of linear systems of equations using the theory of moments
• On a Generalization of an Inequality of L. V. Kantorovich
• Two Remarks on the Kantorovich Inequality
• Matrix Analysis
• The Probability That a Numerical Analysis Problem is Difficult
• Eigenvalues and Condition Numbers of Random Matrices
• Computable Accurate Upper and Lower Error Bounds for Approximate Solutions of Linear Algebraic Systems
• An Estimate for the Condition Number of a Matrix
• Condition Numbers of Random Triangular Matrices
• Error Estimates for the Solution of Linear Systems

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