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Then the weighted average of the multiply results updates matrix R (Eq. 5).
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We begin by showing that the updating matrix (9) is positive definite.
Step 4: Update (B_{k}) by quasi-Newton update formula and ensure the update matrix (B_{k+1}) is positive definite.
Update (B_{k}) by quasi-Newton update formula and ensure the update matrix (B_{k+1}) is positive definite.
Firstly, the communication updating matrix W updates according to the participating agents updating method described in (6) to adapt to the plug-in operation.
Therefore, the update matrix (B_{k+1}^) from (2.1) inherits the positive definiteness of (B_{k}^) for generally convex functions.
An update matrix approach is developed to handle the time-varying yet periodic time-delays resulting from the adoption of the Round-Robin protocol.
The relevant portions of the sensitivity matrix, ({varvec{varLambda}}_{B,B}), are then distributed to the local controllers who use the updated matrix for subsequent calculations.
Adding or removing a cell needs updating matrix L _ C _ M L, C, t and can influence terms (1), (2), (7) and (10) of the objective function.
(6 where E [k] is the information matrix; A is the communication updating matrix that is determined according to the communication topology; D is the pinning matrix; I is the identity matrix;"(otimes)"indicates Kronecker product of matrix.
By avoiding the double stochasticity assumption on the update matrix, the proposed quantized protocol is particularly suitable for the scenarios where no bidirectional and/or balanced information communication among agents is available.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com