## 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>).

 Version: 0.1.0 Suggests: knitr, rmarkdown, matrixcalc, markovchain, matlib Published: 2018-05-07 Author: Josef Brejcha Maintainer: Josef Brejcha License: GPL (≥ 3) NeedsCompilation: no CRAN checks: MPkn results

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 Reference manual: MPkn.pdf Vignettes: Fundament Package source: MPkn_0.1.0.tar.gz Windows binaries: r-devel: MPkn_0.1.0.zip, r-release: MPkn_0.1.0.zip, r-oldrel: MPkn_0.1.0.zip OS X binaries: r-release: MPkn_0.1.0.tgz, r-oldrel: MPkn_0.1.0.tgz

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