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na10
- Referenced in 51 articles
[sw11511]
- condition, based on a rigorous backward rounding error analysis, guarantees that the computed approximations...
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PRECiSA
- Referenced in 2 articles
[sw38041]
- abstract interpretation framework for the round-off error analysis of floating-point programs. This paper ... abstract interpretation framework for the round-off error analysis of floating-point programs. This framework ... approximation of the accumulated floating-point round-off error that may occur. In addition ... stating the correctness of the computed round-off errors...
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CONTIDNS
- Referenced in 1 article
[sw18602]
- orthogonal parameter estimation algorithm a rounding-error analysis is performed. We illustrate the presented method...
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ACRITH-XSC
- Referenced in 49 articles
[sw00015]
- need to perform an error analysis by hand for these calculations. For example, self-validating ... data conversion and arithmetic operators with rounding control, interval and complex interval arithmetic, accurate vector/matrix...
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Compqd
- Referenced in 2 articles
[sw29675]
- algorithm. We study in detail the error analysis of the qd and Compqd algorithms ... numbers so that the relative forward rounding error bounds can be derived directly. Our numerical...
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logsumexp-softmax-tests
- Referenced in 5 articles
[sw42124]
- give rounding error analyses of different evaluation algorithms and interpret the error bounds using condition ... functions. We conclude, based on the analysis and numerical experiments, that the shifted formulas...
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SLICE
- Referenced in 5 articles
[sw30997]
- precision arithmetic of digital computers. The rounding errors which then result can cause many ... data supplied is poorly scaled. The numerical analysis background required to study these problems...
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BETAS
- Referenced in 1 article
[sw41171]
- size. Residuals converge exponentially to the round-off error, allowing the potential energy ... eight-digit accuracy required for nonlinear stability analysis. A small amount of artificial viscosity...
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IgBLAST
- Referenced in 1 article
[sw23145]
- gene and the joining (J) gene. Analysis of IG sequences typically requires identification of each ... variable length of each gene requires multiple rounds of BLAST searches for a single ... assembly of different genes is difficult and error-prone. To address these issues ... sequences, we have developed the sequence analysis tool IgBLAST (http://www.ncbi.nlm.nih.gov/igblast/). With this tool...
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RangeLab
- Referenced in 1 article
[sw38042]
- well as a range for the round off errors arising during the computation. Hence ... precision. Range Lab is based on static analysis by abstract interpretation and, in this article...
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Algorithm 1010
- Referenced in 1 article
[sw35945]
- cope with the detrimental effect of round-off errors, no matter what set of quartic ... cases and by carrying out a statistical analysis over a very large set of quartics...
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ANSYS
- Referenced in 704 articles
[sw00044]
- ANSYS offers a comprehensive software suite that spans...
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ATLAS
- Referenced in 199 articles
[sw00056]
- This paper describes the Automatically Tuned Linear Algebra...
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ACL2
- Referenced in 283 articles
[sw00060]
- ACL2 is both a programming language in which...
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BARON
- Referenced in 354 articles
[sw00066]
- BARON is a computational system for solving nonconvex...
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CADNA
- Referenced in 47 articles
[sw00098]
- CADNA: a library for estimating round-off error...
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CGAL
- Referenced in 394 articles
[sw00118]
- The goal of the CGAL Open Source Project...
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Chronos
- Referenced in 5 articles
[sw00125]
- The EDPEPPS toolset is the fruit of a...
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Coq
- Referenced in 1890 articles
[sw00161]
- Coq is a formal proof management system. It...
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CSDP
- Referenced in 202 articles
[sw00169]
- CSDP, A C Library for Semidefinite Programming. This...