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Faster Homomorphic Linear Transformations in HElib
Homomorphic encryption Implementation Linear transformations
2018/3/9
HElib is a software library that implements homomorphic encryption (HE), with a focus on effective use of "packed" ciphertexts. An important operation (which is used in bootstrapping, as well as in ot...
Linear Transformations & the Multivariate Generating Function
Linear Transformations the Multivariate Generating Function
2012/11/23
This note examines linear combinations of multi-indexed sequences and derives the multivariate generating function of such a linear combination in terms of the original sequence's m.g.f. Applications ...
On positive definite preserving linear transformations of rank $r$ on real symmetric matrices
positive definite linear transformations
2010/11/22
We study on what conditions on $B_k,$ \ a linear transformation of rank $r$ \label{form} T(A)=\sum_{k=1}^r\tr(AB_k)U_k where $U_k,\ k=1,2,..., r$ are linear independent and all positive definite; is p...
Estimating spatially distributed monthly evapotranspiration rates by linear transformations of MODIS daytime land surface temperature data
evapotranspiration rates land surface temperature
2009/7/22
Under simplifying conditions catchment-scale vapor pressure at the drying land surface can be calculated as a function of its watershed-representative temperature (<Ts>) by the wet-surface equation (W...
Fractional-Linear Transformations of Operator Balls Applications to Dynamical Systems
Compactness Convexity Linear fractional relation Operator ball Krein space
2007/12/12
The operator sets, which are the subject of this paper, have been studied in many papers where, under different restrictions on the generating operators, convexity, compactness in the weak operator to...