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Etude statistique des erreurs dans l'arithmetique des ordinateurs; application au controle des resultats d'algorithmes numeriques
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf01386233openalex-snapshot
Error analysis of floating-point computation
inferredcites →https://doi.org/10.1016/0016-0032(64)90390-4openalex-snapshot
Rounding errors in algebraic processes
inferredcites →https://doi.org/10.2307/2002959openalex-snapshot
Rounding Errors in Algebraic Processes
inferredcites →https://doi.org/10.2307/2004501openalex-snapshot
Computer Solution of Linear Algebraic Systems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Aquarels: A Problem-Solving Environment for Validating Scientific Software
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Round-off error propagation in the solution of the heat equation by finite differences
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Error propagation in fourier transforms
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Optimal simulation lengths for various algorithms computing the mean
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Review on stochastic approach to round-off error analysis and its applications
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Floating-point error propagation in iterative methods
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A stochastic arithmetic for reliable scientific computation
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Stabilizing Bairstow's method
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Jenkins–Traub, Minimization, and Bairstow Methods
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THE USE OF THE CESTAC METHOD IN THE PARALLEL COMPUTATION OF ROOTS OF POLYNOMIALS
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CESTAC, A TOOL FOR A STOCHASTIC ROUND-OFF ERROR ANALYSIS IN SCIENTIFIC COMPUTING
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ON THE USE OF THE NORMED RESIDUE TO CHECK THE QUALITY OF THE SOLUTION OF A LINEAR SYSTEM
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Accurate solution of dense linear systems, part I: Algorithms in rounding to nearest
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The use of the CADNA library for validating the numerical results of the hybrid GMRES algorithm
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Verification methods: Rigorous results using floating-point arithmetic
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The stable ATA-orthogonal s-step Orthomin(k) algorithm with the CADNA library
inferred← citeshttps://doi.org/10.1051/m2an/1977110100131openalex-snapshot
Détermination du pas optimal dans le calcul des dérivées sur ordinateur
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Implémentation des méthodes d'optimisation : test d'arrêt optimal, contrôle et précision de la solution (II)
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