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» On Chebyshev Polynomials of Matrices
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MOC
2010
13 years 2 months ago
A new elasticity element made for enforcing weak stress symmetry
Abstract. We introduce a new mixed method for linear elasticity. The novelty is a simplicial element for the approximate stress. For every positive integer k, the row-wise divergen...
Bernardo Cockburn, Jayadeep Gopalakrishnan, Johnny...
STOC
1997
ACM
122views Algorithms» more  STOC 1997»
13 years 11 months ago
Fault-Tolerant Quantum Computation With Constant Error
Shor has showed how to perform fault tolerant quantum computation when the probability for an error in a qubit or a gate, η, decays with the size of the computation polylogarithmi...
Dorit Aharonov, Michael Ben-Or
CORR
2007
Springer
105views Education» more  CORR 2007»
13 years 7 months ago
Relative-Error CUR Matrix Decompositions
Many data analysis applications deal with large matrices and involve approximating the matrix using a small number of “components.” Typically, these components are linear combi...
Petros Drineas, Michael W. Mahoney, S. Muthukrishn...
CORR
2008
Springer
139views Education» more  CORR 2008»
13 years 7 months ago
Exact two-terminal reliability of some directed networks
Abstract-- The calculation of network reliability in a probabilistic context has long been an issue of practical and academic importance. Conventional approaches (determination of ...
Christian Tanguy
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
14 years 1 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo