Authors :
Ismail Abbas
Volume/Issue :
Volume 5 - 2020, Issue 12 - December
Google Scholar :
http://bitly.ws/9nMw
Scribd :
https://bit.ly/35vl6PB
Abstract :
The two basic hypotheses of Markov chains
and the four basic hypotheses of B-Matrix chains
proposed are carefully examined and compared to find a
way to improve Markov chainsin certain specific
situations . Our objective is to allow Markov chains to
handle boundary conditions and / orsource / sink term in
addition to ensuring the stability and convergence of the
Markov series.
Moreover, the numerical analysis of the eigenvalues
of the proposed matrix B and of its eigenvectors
validates the proposed following principle: [For positive
symmetric physical power matrices, the sum of their
eigenvalues is equal to the eigenvalue of their sum of
power series]. This principle facilitates the search for
summation solutions of many infinite algebraic power
series such as
The two basic hypotheses of Markov chains
and the four basic hypotheses of B-Matrix chains
proposed are carefully examined and compared to find a
way to improve Markov chainsin certain specific
situations . Our objective is to allow Markov chains to
handle boundary conditions and / orsource / sink term in
addition to ensuring the stability and convergence of the
Markov series.
Moreover, the numerical analysis of the eigenvalues
of the proposed matrix B and of its eigenvectors
validates the proposed following principle: [For positive
symmetric physical power matrices, the sum of their
eigenvalues is equal to the eigenvalue of their sum of
power series]. This principle facilitates the search for
summation solutions of many infinite algebraic power
series such as
