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Summarizing, we have the following scheme for the computation of the second derivative of the EOLS: 1. Compute U = ( U ¯, P ) by solving linear system (30).
Compute U = ( U ¯, P ) by solving linear system (30).
Compute u by (16).
It is not difficult to compute u from X.
Finally, we compute u i n + 1 = v n + 1 A i + F u [ ρ i n, u i n ].
Summarizing, we have the following scheme to compute the derivative D J given a ∈ A : 1. Compute u by (16). 2.
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In order to eliminate scaling, the orthonormal basis is computed, U = orth(Y).
The dealer computes u i (x) = G x,v i ),i = 1,2,...,n and sends u i (x) to each shareholder P i.
4. AHT algorithm requires to update precoders and decoders by computing U k i + 1, V k i + 1, k ∈ K in (10).
Let U ( u ) = u exp [ r − r u K ], then according to simple computing, U is nondecreasing for u ∈ ( 0, K r ]. Two cases are considered for the global asymptotically stable of E 1 ( K, 0, 0,).
The dealer computes u i (x) = G x,v i ),i = 1,2,...,n and sends u i (x) to each shareholder P i. Secret reconstruction phase: Let P1,P2,...,P t be involved in this phase.
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