Add to ORKGThe 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 root of a block-partitioned nonnegative matrix. Moreover, based on the monotonicity property suggested, the equality cases in Chistyakov's theorem are analyzed. Applications to bounding above the spectral radius of a complex matrix are presented. Bibliography: 9 titles. © 2007 Springer Science+Business Media, Inc
AbstractWe obtain a decreasing sequence of upper bounds for the Perron root of a nonnegative matrix....
Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the r...
Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the r...
The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is sho...
The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is sho...
The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is sho...
AbstractIt is well known that for a nonnegative matrix A, the smallest row sum R′(A) and the largest...
AbstractFor a nonnegative irreducible matrix A, this paper is concerned with the estimation and dete...
AbstractIt is well known that for a nonnegative matrix A, the smallest row sum R′(A) and the largest...
For the Perron roots of square nonnegative matrices A,B, and A + D-1BTD, where D is a diagonal matri...
For the Perron roots of square nonnegative matrices A,B, and A + D-1BTD, where D is a diagonal matri...
For the Perron roots of square nonnegative matrices A,B, and A + D-1BTD, where D is a diagonal matri...
AbstractIt is well known that the Perron root r(A) of a nonnegative matrix A lies between the smalle...
For the Perron roots of square nonnegative matrices A,B, and A + D-1BTD, where D is a diagonal matri...
AbstractNew lower bounds, frequently better than previous bounds and readily computable, for the Per...
AbstractWe obtain a decreasing sequence of upper bounds for the Perron root of a nonnegative matrix....
Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the r...
Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the r...
The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is sho...
The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is sho...
The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is sho...
AbstractIt is well known that for a nonnegative matrix A, the smallest row sum R′(A) and the largest...
AbstractFor a nonnegative irreducible matrix A, this paper is concerned with the estimation and dete...
AbstractIt is well known that for a nonnegative matrix A, the smallest row sum R′(A) and the largest...
For the Perron roots of square nonnegative matrices A,B, and A + D-1BTD, where D is a diagonal matri...
For the Perron roots of square nonnegative matrices A,B, and A + D-1BTD, where D is a diagonal matri...
For the Perron roots of square nonnegative matrices A,B, and A + D-1BTD, where D is a diagonal matri...
AbstractIt is well known that the Perron root r(A) of a nonnegative matrix A lies between the smalle...
For the Perron roots of square nonnegative matrices A,B, and A + D-1BTD, where D is a diagonal matri...
AbstractNew lower bounds, frequently better than previous bounds and readily computable, for the Per...
AbstractWe obtain a decreasing sequence of upper bounds for the Perron root of a nonnegative matrix....
Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the r...
Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the r...