MPkn: Calculations of One Discrete Model in Several Time Steps
A matrix discrete model having the form
'M[i+1] = (I + Q)*M[i]'.
The calculation of the values of 'M[i]' only for
pre-selected values of 'i'. The method of calculation
is presented in the vignette 'Fundament' ('Base'). Maybe it‘s own
idea of the author of the package. A weakness is that the method
gives information only in selected steps of the process.
It mainly refers to cases with matrices that are not Markov chain.
If ’Q' is Markov transition matrix, then MUPkL() may be
used to calculate the steady-state distribution 'p' for
'p = Q*p'.
Matrix power of non integer (matrix.powerni()) gives
the same results as a mpower() from package 'matlib'.
References:
"Markov chains",
(<https://en.wikipedia.org/wiki/Markov_chain#Expected_number_of_visits>).
Donald R. Burleson, Ph.D. (2005),
"ON NON-INTEGER POWERS OF A SQUARE MATRIX",
(<http://www.blackmesapress.com/Eigenvalues.htm>).
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