Add to ORKGGiven a primitive stochastic matrix, we provide an upper bound on the moduli of its non-Perron eigenvalues. The bound is given in terms of the weights of the cycles in the directed graph associated with the matrix. The bound is attainable in general, and we characterize a special case of equality when the stochastic matrix has a positive row. Applications to Leslie matrices and to Google-type matrices are also considere
AbstractExplicit forms for orgodicity coefficients which bound the non-unit eigenvalues of finite st...
AbstractThe Hadamard square of any square matrix A is bounded above and below by some doubly stochas...
Suppose that A=(ai,j) is an n×n real matrix with constant row sums μ. Then the Dobrushin–Deutsch–Zen...
Given a primitive stochastic matrix, we provide an upper bound on the moduli of its non-Perron eige...
Given a primitive stochastic matrix, we provide an upper bound on the moduli of its non-Perron eige...
For any stochastic matrix A of order n, denote its eigenvalues as λ1(A), . . . ,λn(A), ordered so th...
AbstractWe consider the class of stochastic matrices M generated in the following way from graphs: i...
For any stochastic matrix A of order n, denote its eigenvalues as λ1(A), . . . ,λn(A), ordered so th...
Abstract. The set S(g, n) of all stochastic matrices of order n whose directed graph has girth g is ...
AbstractWe consider the class of primitive stochastic n×n matrices A, whose exponent is at least ⌊(n...
AbstractIt has been conjectured that if A is a doubly stochastic n>× n matrix such that per A(i, j)≥...
For an irreducible stochastic matrix T, we consider a certain condition number (T), which measures ...
AbstractWe introduce a new measure of irreducibility of a doubly stochastic matrix and find the best...
An n × n irreducible stochastic matrix P can possess a subdominant eigenvalue, say # 2 (P), near ...
AbstractLet A be a primitive stochastic matrix of order n ⩾ 7 and exponent at least ⌊[(n − 1)2 + 1]2...
AbstractExplicit forms for orgodicity coefficients which bound the non-unit eigenvalues of finite st...
AbstractThe Hadamard square of any square matrix A is bounded above and below by some doubly stochas...
Suppose that A=(ai,j) is an n×n real matrix with constant row sums μ. Then the Dobrushin–Deutsch–Zen...
Given a primitive stochastic matrix, we provide an upper bound on the moduli of its non-Perron eige...
Given a primitive stochastic matrix, we provide an upper bound on the moduli of its non-Perron eige...
For any stochastic matrix A of order n, denote its eigenvalues as λ1(A), . . . ,λn(A), ordered so th...
AbstractWe consider the class of stochastic matrices M generated in the following way from graphs: i...
For any stochastic matrix A of order n, denote its eigenvalues as λ1(A), . . . ,λn(A), ordered so th...
Abstract. The set S(g, n) of all stochastic matrices of order n whose directed graph has girth g is ...
AbstractWe consider the class of primitive stochastic n×n matrices A, whose exponent is at least ⌊(n...
AbstractIt has been conjectured that if A is a doubly stochastic n>× n matrix such that per A(i, j)≥...
For an irreducible stochastic matrix T, we consider a certain condition number (T), which measures ...
AbstractWe introduce a new measure of irreducibility of a doubly stochastic matrix and find the best...
An n × n irreducible stochastic matrix P can possess a subdominant eigenvalue, say # 2 (P), near ...
AbstractLet A be a primitive stochastic matrix of order n ⩾ 7 and exponent at least ⌊[(n − 1)2 + 1]2...
AbstractExplicit forms for orgodicity coefficients which bound the non-unit eigenvalues of finite st...
AbstractThe Hadamard square of any square matrix A is bounded above and below by some doubly stochas...
Suppose that A=(ai,j) is an n×n real matrix with constant row sums μ. Then the Dobrushin–Deutsch–Zen...