Machine epsilon

Known as: Macheps, Unit round-off, EPS 
Machine epsilon gives an upper bound on the relative error due to rounding in floating point arithmetic. This value characterizes computer arithmetic… (More)
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35 relations
Approximation errorArbitrary-precision arithmeticC data typesC++
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Papers overview

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Highly Cited
2014
Highly Cited
2014
A Model Predictive Control Approach to Microgrid Operation Optimization
Microgrids are subsystems of the distribution grid, which comprises generation capacities, storage devices, and controllable… (More)
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Highly Cited
2010
Highly Cited
2010
Hierarchical Singular Value Decomposition of Tensors
We define the hierarchical singular value decomposition (SVD) for tensors of order d ≥ 2. This hierarchical SVD has properties… (More)
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Highly Cited
2008
Highly Cited
2008
Machine Precision Evaluation of Singular and Nearly Singular Potential Integrals by Use of Gauss Quadrature Formulas for Rational Functions
A new technique for machine precision evaluation of singular and nearly singular potential integrals with 1/R singularities is… (More)
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Highly Cited
2008
Highly Cited
2008
A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids
A balanced force Refined Level Set Grid method for two-phase flows on structured and unstructured flow solver grids is presented… (More)
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Highly Cited
2007
Highly Cited
2007
VLSI Architecture for Matrix Inversion using Modified Gram-Schmidt based QR Decomposition
Matrix inversion and triangularization problems are common to a wide variety of communication systems, signal processing… (More)
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2005
2005
An Efficient InformationHiding Algorithm for Polygon Models
We present an efficient digital steganographic technique for three-dimensional (3D) triangle meshes. It is based on a… (More)
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Highly Cited
2000
Highly Cited
2000
Conservation Properties of Unstructured Staggered Mesh Schemes
Classic Cartesian staggered mesh schemes have a number of attractive properties. They do not display spurious pressure modes and… (More)
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1993
1993
A comment on the Eispack machine epsilon routine
We analyze the algorithm used to generate the value for the machine epsilon in the Eispack suite of routines and show that it can… (More)
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Highly Cited
1989
Highly Cited
1989
Epsilon Geometry: Building Robust Algorithms from Imprecise Computations
We describe a new general framework, called Epsilon Geometry, for coping with computational errors in geometric algorithms that… (More)
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Highly Cited
1986
Highly Cited
1986
A New Quick-Response and High-Efficiency Control Strategy of an Induction Motor
New quick-response and high-efficiency control of an induction motor, which is quite different from that of the field-oriented… (More)
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