Error linearization as an effective tool for experimental analysis of the numerical stability of algorithms

DOI10.1007/BF01934463zbMath0515.65040MaRDI QIDQ1052049

Seppo Linnainmaa

Publication date: 1983

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

error analysisnumerical stabilityRichardson's method23, 346-359 (1983)error linearizationrounding-error propagation

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Iterative numerical methods for linear systems (65F10) Roundoff error (65G50)

Related Items (1)

More accuracy at fixed precision.

Uses Software

• Algorithm 594

Cites Work

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• Pitfalls in Computation
• Bounds for the round-off errors in the richardson second order method
• On the calculation of the effects of roundoff errors
• Algorithm 594: Software for Relative Error Analysis
• Towards accurate statistical estimation of rounding errors in floating-point computations
• Software for Roundoff Analysis
• Taylor expansion of the accumulated rounding error
• Automatic Error Analysis Using Computer Algebraic Manipulation
• Efficient Calculation of the Effects of Roundoff Errors
• Software for roundoff analysis, II
• A statistical model of roundoff error for varying length floating-point arithmetic
• On some topological properties of numerical algorithms

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