Электронный архив

Просмотр по автору "Kolotilina L."

Просмотр по автору "Kolotilina L."

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  • Inequalities for the Perron root related to Levinger's theorem 
    Alpin Y.; Kolotilina L. (1998)
    For the Perron roots of square nonnegative matrices A,B, and A + D-1BTD, where D is a diagonal matrix with positive diagonal entries, the inequality ρ(A + D-1BTD) ≥ ρ(A) + ρ(B) is proved under the assumption that A and B ...
  • Joint bounds for the Perron roots of nonnegative matrices with applications 
    Al'pin Y.; Kolotilina L.; Korneeva N. (2007)
    Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the row sums of the matrices D-1 A(x) D, x ∈ X, where D is a specially chosen nonsingular diagonal matrix. These bounds, depending ...
  • The generalized monotonicity property of the Perron root 
    Al'pin Y.; Kolotilina L. (2007)
    The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is shown that this new property implies known monotonicity properties and also the Chistyakov two-sided bounds for the Perron ...

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