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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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Highly Cited
2014
Highly Cited
2014
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
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
  • 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
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
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
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
  • 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
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
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 development at Bell Laboratorms of PORT, a hbrary of portable Fortran programs for numemcal computation, is discussed. Portab… Expand
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