WebThe phylogramR package is a tool for for developing phylogenetic trees as deeply-nested lists known as “dendrogram” objects. It provides functions for conversion between dendrograms and “phylo” class objects, as well as several tools for command-line tree manipulation and import/export via Newick parenthetic text. WebNov 14, 2014 · A distinguished subclass of inverse M-matrices is ultrametric matrices, which are important in applications such as taxonomy. Ultrametricity is revealed to be a relevant concept in linear algebra and discrete potential theory because of its relation with trees in graph theory and mean expected value matrices in probability theory. …
Inverse M-Matrices and Ultrametric Matrices eBook
WebNov 14, 2014 · The study of M-matrices, their inverses and discrete potential theory is now a well-established part of linear algebra and the theory of Markov chains. The main focus of this monograph is the so-called inverse M-matrix problem, which asks for a characterization of nonnegative matrices whose... WebUltrametric and GUM matrices can be seen as the potential matrices of Markov chains on finite state spaces. In this chapter we study the connections of these chains and … ateriat kotiin
Special Ultrametric Matrices and Graphs SIAM Journal on Matrix ...
http://lib.bus.umich.edu/cgi-bin/koha/opac-detail.pl?biblionumber=220960 WebJan 1, 2014 · Abstract. Ultrametric and GUM matrices can be seen as the potential matrices of Markov chains on finite state spaces. In this chapter we study the … WebA general ultrametric matrix is then the sum of a nonnegative diagonal matrix and a special ultrametric matrix, with certain conditions fulfilled. The rank of a special ultrametric matrix is also recognized and it is shown that its Moore--Penrose inverse is a generalized diagonally dominant M -matrix. ateriaviikko