Characterization of weakly monotone stochastic matrices (Q1189624)

From MaRDI portal





scientific article; zbMATH DE number 57563
Language Label Description Also known as
English
Characterization of weakly monotone stochastic matrices
scientific article; zbMATH DE number 57563

    Statements

    Characterization of weakly monotone stochastic matrices (English)
    0 references
    0 references
    27 September 1992
    0 references
    A nonnegative \(n\times n\) matrix \(T\) is called weakly monotone if \(Tx\) nonnegative implies the existence of a nonnegative \(x_ 0\) such that \(Tx=Tx_ 0\). A proof of a characterization of weakly monotone stochastic matrices \(T\) is given in terms of zero locations in the rows of \(T\).
    0 references
    nonnegative matrices
    0 references
    characterization
    0 references
    weakly monotone stochastic matrices
    0 references

    Identifiers