Algorithms for roundoff error analysis - a relative error approach

DOI10.1007/BF02237815zbMath0419.65030MaRDI QIDQ1132500

J. L. Larson, Ahmed H. Sameh

Publication date: 1980

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

linear programmingnumerical stabilitynumerical linear algebraroundoff analysis

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Roundoff error (65G50) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Statistical approach for highest precision numerical differentiation

Uses Software

• Algorithm 478

Cites Work

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• Errata: “Efficient Calculation of the Effects of Roundoff Errors”
• Reducibility Among Floating-Point Graphs
• Software for Roundoff Analysis
• Graph Transformations for Roundoff Analysis
• Taylor expansion of the accumulated rounding error
• Computational Graphs and Rounding Error
• Roundoff Analysis by Direct Comparison of Two Algorithms
• Linear Programming Algorithms for the Chebyshev Solution to a System of Consistent Linear Equations
• Efficient Calculation of the Effects of Roundoff Errors
• Software for roundoff analysis, II
• Methods for Modifying Matrix Factorizations
• An Improved Algorithm for Discrete $l_1 $ Linear Approximation