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Let us choose as a possible Lyapounov function W ( Y k ) = Y k * F * T F Y k.
By Lemma 1, we have that Y k + 1 = 2 Y k − Y k X k Y k ≤ X K − 1 ≤ X + − 1.
Bennett, G. J. & Xie, Y. K.
Therefore, Δ W ( Y k ) = - Y k * S Y k.
observe: y k ( m ).
Let y k → y.
Similar(22)
Brienza DM, Geyer MJ, Jan Y-K.
Therefore, [ x, y ] k n = [ x, y ] k n e = e [ x, y ] k n = t [ x, y ] k n + 1 Open image in new window.
Let y ∈ K +.
Let y ∈ K be given.
For all x, y ∈ K, we obtain.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com