Numerical Study of Algebraic Problems Using Stochastic Arithmetic

DOI10.1007/978-3-540-78827-0_12zbMath1229.65007OpenAlexW1547750044MaRDI QIDQ3616811

Svetoslav M. Markov, Jean-Luc Lamotte, Rene Alt

Publication date: 26 March 2009

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-78827-0_12

zbMATH Keywords

least squares approximationstandard deviationsstochastic arithmeticstochastic numbers

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Computational methods for problems pertaining to probability theory (60-08)

Uses Software

• CADNA
• INTLAB

Cites Work

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• The use of the CADNA library for validating the numerical results of the hybrid GMRES algorithm
• Review on stochastic approach to round-off error analysis and its applications
• The stable \(A^TA\)-orthogonal \(s\)-step orthomin\((k)\) algorithm with the CADNA library
• Stochastic arithmetic: Addition and multiplication by scalars
• Validation of results of collocation methods for ODEs with CADNA library
• Stochastic arithmetic: s-spaces and some applications
• On the algebraic Properties of Stochastic Arithmetic. Comparison to Interval Arithmetic
• Large-Scale Scientific Computing

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