In this paper, the diagonal majorization algorithm (DMA) has been investigated. The research focuses on the possibilities to increase the efficiency of the algorithm by disclosing its properties. The diagonal majorization algorithm is oriented at the multidimensional data visualization. The experiments have proved that, when visualizing large data set with DMA, it is possible to save the comput...

This paper aims to generalize and unify classical criteria for comparisons of balanced lattice designs, including fractional factorial designs, supersaturated designs and uniform designs. We present a general majorization framework for assessing designs, which includes a stringent criterion of majorization via pairwise coincidences and flexible surrogates via convex functions. Classical orthogo...


 In this paper, we give a complete, explicit and constructive solution to the double generalized majorization problem. Apart from purely combinatorial interest, problem has strong impact in Matrix Pencils Completion Problems, Bounded Rank Perturbation it additional nice interpretation Representation Theory of Kronecker Quivers.

This paper establishes a strong connection between evolutionary algorithms and majorization theory, using replicator models as a bridge. The relationship between replicator selection systems and majorization theory suggests new selection operators, convergence results and theoretical gains such as the availability of convergence results from the well developed theory of inhomogeneous doubly sto...

Echinococcosis is cosmopolitan zoonosis caused by adult or larval stages of tapeworrns belonging to the genus Echinococcus Rudolphi, 1 80 1 . Within the genus Echinococcus four species are presently recog­ nised, namely Echinococcus granulosus, E. multiloc­ ularis, E. oligarthrus and E. vogeli, and taxonomic revision of the genus is probably needed (Thompson RCA, McManus DC, 2002, Trends Parasi...

We explore the combinatorial properties of a particular type of extension monoid product of preinjective Kronecker modules. The considered extension monoid product plays an important role in matrix completion problems. We state theorems which characterize this product in both implicit and explicit ways and we prove that the conditions given in the definition of the generalized majorization are ...

This paper presents applications of a remarkable majorization inequality due to Bapat and Sunder in three different areas. The first application is a proof of Hiroshima’s 2003 result which arises in quantum information theory. The second one is an extension of some eigenvalue inequalities that have been used to bound chromatic number of graphs. The third application is a simplified proof of a m...