Steklov Institute of Mathematics at St.Petersburg

PREPRINT 07/2007


L. Yu. Kolotilina

ON THE SHARPNESS OF TWO-SIDED BOUNDS FOR THE PERRON ROOT AND OF THE RELATED EIGENVALUE INCLUSION SETS

This preprint was accepted May 7, 2007

ABSTRACT:
The paper considers the sharpness problem for certain two-sided bounds for the
Perron root of an irreducible nonnegative matrix.
The results obtained are applied to prove the sharpness of the related eigenvalue inclusion
sets in classes of matrices with fixed diagonal entries, bounded above deleted
absolute row sums, and a partly specified irreducible sparsity pattern.
[Full text: (.ps.gz)]
Back to all preprints
Back to the Steklov Institute of Mathematics at St.Petersburg