National Repository of Grey Literature 4 records found  Search took 0.01 seconds. 
Systems of Difference Equations applied on Markov chains
Esterlová, Alena ; Tomášek, Petr (referee) ; Štoudková Růžičková, Viera (advisor)
This thesis is focused on Markov chains and their application in genetics. Special focus is on convergence of chains with three states. The opening chapter covers matrix theory which is used in Markov chains. The next part examines Markov chains and its theory. The final chapter looks into examples and examination of specific Markov chains with three states that does not converge.
Origins of Matrix Theory in Czech Lands (and the responses to them)
Štěpánová, Martina ; Bečvář, Jindřich (advisor) ; Slavík, Antonín (referee) ; Hora, Jaroslav (referee)
In the 1880s and early 1890s, the Prague mathematician Eduard Weyr published his important results in matrix theory. His works represented the only significant contribution to matrix theory by Czech mathematicians in many decades that followed. Although Eduard Weyr was one of the few European mathematicians acquainted with matrix theory and working in it at that time, his results did not gain recognition for about a century. Eduard Weyr discovered the Weyr characteristic, which is a dual sequence to the better known Segre characteristic, and also the so-called typical form. This canonical form of a matrix is nowadays called the Weyr canonical form. It is permutationally similar to the commonly used Jordan canonical form of the same matrix and it outperforms the Jordan canonical form in some mathematical situations. The Weyr canonical form has become much better known in the last few years and even a monograph dedicated to this topic was published in 2011.
Systems of Difference Equations applied on Markov chains
Esterlová, Alena ; Tomášek, Petr (referee) ; Štoudková Růžičková, Viera (advisor)
This thesis is focused on Markov chains and their application in genetics. Special focus is on convergence of chains with three states. The opening chapter covers matrix theory which is used in Markov chains. The next part examines Markov chains and its theory. The final chapter looks into examples and examination of specific Markov chains with three states that does not converge.
Origins of Matrix Theory in Czech Lands (and the responses to them)
Štěpánová, Martina ; Bečvář, Jindřich (advisor) ; Slavík, Antonín (referee) ; Hora, Jaroslav (referee)
In the 1880s and early 1890s, the Prague mathematician Eduard Weyr published his important results in matrix theory. His works represented the only significant contribution to matrix theory by Czech mathematicians in many decades that followed. Although Eduard Weyr was one of the few European mathematicians acquainted with matrix theory and working in it at that time, his results did not gain recognition for about a century. Eduard Weyr discovered the Weyr characteristic, which is a dual sequence to the better known Segre characteristic, and also the so-called typical form. This canonical form of a matrix is nowadays called the Weyr canonical form. It is permutationally similar to the commonly used Jordan canonical form of the same matrix and it outperforms the Jordan canonical form in some mathematical situations. The Weyr canonical form has become much better known in the last few years and even a monograph dedicated to this topic was published in 2011.

Interested in being notified about new results for this query?
Subscribe to the RSS feed.