AbstractIt is well known that the Perron root r(A) of a nonnegative matrix A lies between the smallest and the largest row sum of A. We obtain a new lower bound for r(A) by using a result of Kuharenko concerning a spectral property of a zero-trace matrix
Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the r...
AbstractFor a nonnegative irreducible matrix A, this paper is concerned with the estimation and dete...
AbstractWe present a sequence of progressively better upper bounds for the Perron root of a nonnegat...
AbstractNew lower bounds, frequently better than previous bounds and readily computable, for the Per...
AbstractThis paper is a continuation of an earlier one by the author. We obtain a new lower bound fo...
AbstractIt is well known that the Perron root r(A) of a nonnegative matrix A lies between the smalle...
AbstractUsing the techniques of max algebra, a new proof of Al’pin’s lower and upper bounds for the ...
AbstractWe obtain a decreasing sequence of upper bounds for the Perron root of a nonnegative matrix....
AbstractIt is well known that for a nonnegative matrix A, the smallest row sum R′(A) and the largest...
AbstractFor an n × n matrix A = (aij) ⩾ 0, we prove the Perron root r(A) satisfies the inequality r(...
Elsner L, van den Driessche P. Bounds for the Perron root using max eigenvalues. Linear Algebra and ...
AbstractA new lower bound for the Perron root for irreducible, non-negative matrices is obtained whi...
AbstractLet A be an n×n matrix with real eigenvalues. Wolkowicz and Styan presented bounds for the e...
AbstractWe obtain a decreasing sequence of upper bounds for the Perron root of a nonnegative matrix....
AbstractLet A be an n×n nonnegative irreducible matrix, let A[α] be the principal submatrix of A bas...
Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the r...
AbstractFor a nonnegative irreducible matrix A, this paper is concerned with the estimation and dete...
AbstractWe present a sequence of progressively better upper bounds for the Perron root of a nonnegat...
AbstractNew lower bounds, frequently better than previous bounds and readily computable, for the Per...
AbstractThis paper is a continuation of an earlier one by the author. We obtain a new lower bound fo...
AbstractIt is well known that the Perron root r(A) of a nonnegative matrix A lies between the smalle...
AbstractUsing the techniques of max algebra, a new proof of Al’pin’s lower and upper bounds for the ...
AbstractWe obtain a decreasing sequence of upper bounds for the Perron root of a nonnegative matrix....
AbstractIt is well known that for a nonnegative matrix A, the smallest row sum R′(A) and the largest...
AbstractFor an n × n matrix A = (aij) ⩾ 0, we prove the Perron root r(A) satisfies the inequality r(...
Elsner L, van den Driessche P. Bounds for the Perron root using max eigenvalues. Linear Algebra and ...
AbstractA new lower bound for the Perron root for irreducible, non-negative matrices is obtained whi...
AbstractLet A be an n×n matrix with real eigenvalues. Wolkowicz and Styan presented bounds for the e...
AbstractWe obtain a decreasing sequence of upper bounds for the Perron root of a nonnegative matrix....
AbstractLet A be an n×n nonnegative irreducible matrix, let A[α] be the principal submatrix of A bas...
Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the r...
AbstractFor a nonnegative irreducible matrix A, this paper is concerned with the estimation and dete...
AbstractWe present a sequence of progressively better upper bounds for the Perron root of a nonnegat...
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