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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… Expand
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Related topics

Related topics

35 relations
Approximation errorArbitrary-precision arithmeticC data typesC++
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
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… Expand
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Highly Cited
2011
Highly Cited
2011
Remark on “algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization”
This remark describes an improvement and a correction to Algorithm 778. It is shown that the performance of the algorithm can be… Expand
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Highly Cited
2010
Highly Cited
2010
Hierarchical Singular Value Decomposition of Tensors
  • L. Grasedyck
  • SIAM J. Matrix Anal. Appl.
  • 2010
    • Corpus ID: 30154794
We define the hierarchical singular value decomposition (SVD) for tensors of order $d\geq2$. This hierarchical SVD has properties… Expand
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Highly Cited
2007
Highly Cited
2007
Fast linear algebra is stable
In Demmel et al. (Numer. Math. 106(2), 199–224, 2007) we showed that a large class of fast recursive matrix multiplication… Expand
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Highly Cited
2006
Highly Cited
2006
A Unified Framework for Numerically Inverting Laplace Transforms
We introduce and investigate a framework for constructing algorithms to invert Laplace transforms numerically. Given a Laplace… Expand
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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… Expand
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Highly Cited
1998
Highly Cited
1998
Practical Parameterization of Rotations Using the Exponential Map
  • F. S. Grassia
  • J. Graphics, GPU, & Game Tools
  • 1998
    • Corpus ID: 9489978
Parameterizing three degree-of-freedom (DOF) rotations is difficult to do well. Many graphics applications demand that we be able… Expand
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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… Expand
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Highly Cited
1986
Highly Cited
1986
Desingularization of periodic vortex sheet roll-up
Abstract The equations governing periodic vortex sheet roll-up from analytic initial data are desingularized. Linear stability… Expand
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Highly Cited
1978
Highly Cited
1978
The PORT Mathematical Subroutine Library
The development at Bell Laboratorms of PORT, a hbrary of portable Fortran programs for numemcal computation, is discussed. Portab… Expand
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