AbstractIt is well known that for a nonnegative matrix A, the smallest row sum R′(A) and the largest row sum R″(A) provide lower and upper bounds, respectively, for the Perron root of A. These bounds are generalized for a partitioned nonnegative matrix A. The new bounds are better than R′(A) and R″(A), and they can be further improved by a refinement of the partition. Known monotonicity and convergence properties of R′(A) and R″(A) are generalized for the new bounds
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...
Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the r...
AbstractIt is well known that for a nonnegative matrix A, the smallest row sum R′(A) and the largest...
AbstractNew lower bounds, frequently better than previous bounds and readily computable, for the Per...
AbstractUsing the techniques of max algebra, a new proof of Al’pin’s lower and upper bounds for the ...
Elsner L, van den Driessche P. Bounds for the Perron root using max eigenvalues. Linear Algebra and ...
AbstractLet A be an n×n nonnegative irreducible matrix, let A[α] be the principal submatrix of A bas...
AbstractThis paper is a continuation of an earlier one by the author. We obtain a new lower bound fo...
AbstractWe present a sequence of progressively better upper bounds for the Perron root of a nonnegat...
AbstractIt is well known that the Perron root r(A) of a nonnegative matrix A lies between the smalle...
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...
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...
The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is sho...
Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the r...
AbstractIt is well known that for a nonnegative matrix A, the smallest row sum R′(A) and the largest...
AbstractNew lower bounds, frequently better than previous bounds and readily computable, for the Per...
AbstractUsing the techniques of max algebra, a new proof of Al’pin’s lower and upper bounds for the ...
Elsner L, van den Driessche P. Bounds for the Perron root using max eigenvalues. Linear Algebra and ...
AbstractLet A be an n×n nonnegative irreducible matrix, let A[α] be the principal submatrix of A bas...
AbstractThis paper is a continuation of an earlier one by the author. We obtain a new lower bound fo...
AbstractWe present a sequence of progressively better upper bounds for the Perron root of a nonnegat...
AbstractIt is well known that the Perron root r(A) of a nonnegative matrix A lies between the smalle...
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...
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...
The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is sho...
Given a finite set {Ax}x∈X of nonnegative matrices, we derive joint upper and lower bounds for the r...
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