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The Joint Spectral Radius
, 2001
"... 72. [115] F. Wirth, Dynamics of timevarying discretetime linear systems: Spectral theory and the projected system, SIAM J. Control Optim., 36(2), (1998):447487. [116] F. Wirth, On stability of in [110] J.N. Tsitsiklis and V. Blondel, The Lyapunov exponent and joint spectral radius of pairs of m ..."
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Cited by 130 (2 self)
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72. [115] F. Wirth, Dynamics of timevarying discretetime linear systems: Spectral theory and the projected system, SIAM J. Control Optim., 36(2), (1998):447487. [116] F. Wirth, On stability of in [110] J.N. Tsitsiklis and V. Blondel, The Lyapunov exponent and joint spectral radius of pairs
THE DIRICHLET SPECTRAL RADIUS OF TREES
, 2015
"... In this paper, the trees with the largest Dirichlet spectral radius among all trees with a given degree sequence are characterized. Moreover, the extremal graphs having the largest Dirichlet spectral radius are obtained in the set of all trees of order n with a given number of pendant vertices. ..."
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In this paper, the trees with the largest Dirichlet spectral radius among all trees with a given degree sequence are characterized. Moreover, the extremal graphs having the largest Dirichlet spectral radius are obtained in the set of all trees of order n with a given number of pendant vertices.
On the spectral radius of nonnegative matrices*
"... We give lower bounds for the spectral radius of nonnegative matrices and nonnegative symmetric matrices, and prove necessary and sufficient conditions to achieve these bounds. 1 ..."
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We give lower bounds for the spectral radius of nonnegative matrices and nonnegative symmetric matrices, and prove necessary and sufficient conditions to achieve these bounds. 1
Optimizing the Spectral Radius
, 2012
"... We suggest an approach for finding the maximal and the minimal spectral radius of linear operators from a given compact family of operators, which share a common invariant cone (e.g. family of nonnegative matrices). In the case of families with socalled product structure, this leads to efficient al ..."
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We suggest an approach for finding the maximal and the minimal spectral radius of linear operators from a given compact family of operators, which share a common invariant cone (e.g. family of nonnegative matrices). In the case of families with socalled product structure, this leads to efficient
ON SPECTRAL RADIUS ALGEBRAS
"... Abstract. We show how one can associate a Hermitian operator P to every operator A, and we prove that the invertibility properties of P imply the nontransitivity and density of the spectral radius algebra associated to A. In the finite dimensional case we give a complete characterization of these a ..."
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Cited by 2 (0 self)
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Abstract. We show how one can associate a Hermitian operator P to every operator A, and we prove that the invertibility properties of P imply the nontransitivity and density of the spectral radius algebra associated to A. In the finite dimensional case we give a complete characterization
The Generalized Spectral Radius and Extremal Norms
, 2000
"... The generalized spectral radius, also known under the name of joint spectral radius, or (after taking logarithms) maximal Lyapunov exponent of a discrete inclusion is examined. We present a new proof for a result of Barabanov, which states that for irreducible sets of matrices an extremal norm alway ..."
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Cited by 58 (10 self)
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The generalized spectral radius, also known under the name of joint spectral radius, or (after taking logarithms) maximal Lyapunov exponent of a discrete inclusion is examined. We present a new proof for a result of Barabanov, which states that for irreducible sets of matrices an extremal norm
ON THE DEFINITION OF THE CONE SPECTRAL RADIUS
"... Abstract. For functions homogeneous of degree 1 and mapping a cone into itself two reasonable definitions of the cone spectral radius have been given. Although they have been shown to be equal in many cases, this note gives an example showing that the two definitions may differ for continuous, homo ..."
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Abstract. For functions homogeneous of degree 1 and mapping a cone into itself two reasonable definitions of the cone spectral radius have been given. Although they have been shown to be equal in many cases, this note gives an example showing that the two definitions may differ for continuous
CONTINUITY OF THE CONE SPECTRAL RADIUS
"... Abstract. This paper concerns the question whether the cone spectral radius rC(f) of a continuous compact orderpreserving homogenous map f: C → C on a closed cone C in Banach space X depends continuously on the map. Using the fixed point index we show that if there exists 0 < a1 < a2 < a3 ..."
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Cited by 4 (0 self)
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Abstract. This paper concerns the question whether the cone spectral radius rC(f) of a continuous compact orderpreserving homogenous map f: C → C on a closed cone C in Banach space X depends continuously on the map. Using the fixed point index we show that if there exists 0 < a1 < a2 < a3
Estimating the spectral radius of a graph by . . .
, 2014
"... The spectral radius of the adjacency matrix of a molecular graph is a topological index that is related to the branching of the molecule. We show that the spectral radius can be very accurately estimated by another topological index, the second Zagreb index. ..."
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The spectral radius of the adjacency matrix of a molecular graph is a topological index that is related to the branching of the molecule. We show that the spectral radius can be very accurately estimated by another topological index, the second Zagreb index.
Results 1  10
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1,903