How to transform this implicit FDTD iteration equation into the matrix equation?

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lwb656

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I am reading the journal article” A New Unconditionally Stable FDTD Method Based on the Newmark-Beta Algorithm”, and trying to derive its relative formulation. I came across the following iteration equation:

The Left Hand Side (LHS) includes unknown fields Eρ (ρ=x,y,z) while the Right Hand Side is known. There are three sets of such equations. The paper says that such equations could be transformed into the following form:



But how? Literature recommendations on the topic are also appreciated.
 

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