Technical comment. A problem on Markov chains
A problem (arisen from applications to networks) is posed about the principal minors of the matrix of transition probabilities of a Markov chain.
Technical comment. A problem on Markov chains
A problem (arisen from applications to networks) is posed about the principal minors of the matrix of transition probabilities of a Markov chain.
The Dittert's function on a set of nonnegative matrices.
The structure of linear operators strongly preserving majorizations of matrices.
The structure of linear preservers of left matrix majorization on .
The theory and applications of complex matrix scalings
We generalize the theory of positive diagonal scalings of real positive definite matrices to complex diagonal scalings of complex positive definite matrices. A matrix A is a diagonal scaling of a positive definite matrix M if there exists an invertible complex diagonal matrix D such that A = D*MD and where every row and every column of A sums to one. We look at some of the key properties of complex diagonal scalings and we conjecture that every n by n positive definite matrix has at most 2n−1 scalings...
Trace inequalities with applications to orthogonal regression and matrix nearness problems.
Transformación de principios de consistencia aleatorios en determinísticos.
En la Teoría de la Decisión en Grupo, cuando los expertos emiten su información sobre los objetos de una manera probabilística, se pueden construir Principios de Consistencia que satisfagan los cinco principios de racionalidad y no sean dictatoriales [ver Sánchez-Pérez-Domench (1986)].Partiendo de esta situación, en el presente artículo se analizan y proponen diferentes métodos y algoritmos para transformar relaciones sociales aleatorias en determinísticas, continuando y completando así investigaciones...
Triangular stochastic matrices generated by infinitesimal elements
We show that each element in the semigroup of all non-singular upper (or lower) triangular stochastic matrices is generated by the infinitesimal elements of , which form a cone consisting of all upper (or lower) triangular intensity matrices.