Math
I have a few questions about T-Matrix.
In excel, I am suppose to work with powered matrices to construct a weighted T matrix, using a scalar of .7.
Does this mean I multiply each of the powered matrices by .7? Or do I power the powered matrices by .7? Or am I completely off base?
My notes say T-matrix is calculated by powering the minimal information matrix up to the diameter of the system. So if I'm using the maximum diameter of the matrix (let's say 6) in the t-matrix equation, where does the .7 comes into play?
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Answers
The .7 scalar is used to reduce the weights of each powered matrix element of the T-matrix. This is similar to the idea of dampening in mathematical models, where the power of each matrix element is reduced so that it does not impact the system too strongly. The scalar is applied to each powered matrix element multiplied by .7, or equivalently powered by .7. So, for example, to calculate the T-matrix for a system with diameter 6, you would power the minimal information matrix up to the sixth power, and then apply the scaling factor of .7 to each of the powered matrix elements.
