More on extremal positive semidefinite doubly stochastic matrices (Q1187505)

From MaRDI portal





scientific article; zbMATH DE number 39406
Language Label Description Also known as
English
More on extremal positive semidefinite doubly stochastic matrices
scientific article; zbMATH DE number 39406

    Statements

    More on extremal positive semidefinite doubly stochastic matrices (English)
    0 references
    0 references
    0 references
    22 July 1992
    0 references
    Let \(K_ n\) be the convex set of \(n\times n\) positive semidefinite doubly stochastic matrices. It is shown that for matrices with a special type of graph extremality can be determined by graph and rank. Also, a complete classification of the extremal matrices in \(K_ 5\) and in particular examples of two matrices in \(K_ 5\) with the same graph and rank, one extreme and one not, are presented.
    0 references
    extremal positive semidefinite doubly stochastic matrices
    0 references
    extreme points
    0 references
    rank extreme matrices
    0 references
    graph
    0 references
    rank
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references