The numerical radius and bounds for zeros of a polynomialLet
p(t) be a monic polynomial. We obtain two bounds for zeros of
p(t) via the
Perron root
A formula for the Perron vector of astochastic matrixThe paper suggests a new linear-algebraic proof of a formula for the
Perron vector (stationary
The generalized monotonicity property of the Perron rootThe paper presents a new monotonicity property of the
Perron root of a nonnegative matrix
The Perron-Frobenius theorem - A proof with the use of Markov chainsThe
Perron-Frobenius theorem for an irreducible nonnegative matrix is proved using the matrix graph
A formula for the Perron vector of astochastic matrixThe paper suggests a new linear-algebraic proof of a formula for the
Perron vector (stationary
Inequalities for the Perron root related to Levinger's theoremFor the
Perron roots of square nonnegative matrices A,B, and A + D-1BTD, where D is a diagonal
Inequalities for the Perron root related to Levinger's theoremFor the
Perron roots of square nonnegative matrices A,B, and A + D-1BTD, where D is a diagonal