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Three Absolute Perturbation Bounds For Matrix Eigenvalues Imply Relative Bounds
 SIAM J. Matrix Anal. Appl
, 1998
"... . We show that three wellknown perturbation bounds for matrix eigenvalues imply relative bounds: the BauerFike and HoffmanWielandt theorems for diagonalisable matrices, and Weyl's theorem for Hermitian matrices. As a consequence, relative perturbation bounds are not necessarily stronger than ..."
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Cited by 12 (1 self)
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. We show that three wellknown perturbation bounds for matrix eigenvalues imply relative bounds: the BauerFike and HoffmanWielandt theorems for diagonalisable matrices, and Weyl's theorem for Hermitian matrices. As a consequence, relative perturbation bounds are not necessarily stronger
Testing for Common Trends
 Journal of the American Statistical Association
, 1988
"... Cointegrated multiple time series share at least one common trend. Two tests are developed for the number of common stochastic trends (i.e., for the order of cointegration) in a multiple time series with and without drift. Both tests involve the roots of the ordinary least squares coefficient matrix ..."
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Cited by 464 (7 self)
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similar. The firstest (qf) is developed under the assumption that certain components of the process have a finiteorder vector autoregressive (VAR) representation, and the nuisance parameters are handled by estimating this VAR. The second test (q,) entails computing the eigenvalues of a corrected sample
This implies
"... Linearfractional agedependent branching processes (work in progress, supported by the ..."
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Linearfractional agedependent branching processes (work in progress, supported by the
Nonreal eigenvalues for second order differential operators on networks with circuits
"... It is shown that on every finite network with at least one circuit there exist second order differential operators having an infinite number of nonreal eigenvalues. The presence of nonreal eigenvalues implies that these operators cannot be selfadjoint with respect to any metric. These eigenvalues re ..."
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It is shown that on every finite network with at least one circuit there exist second order differential operators having an infinite number of nonreal eigenvalues. The presence of nonreal eigenvalues implies that these operators cannot be selfadjoint with respect to any metric. These eigenvalues
Generalized Eigenvalue Problems with Specified Eigenvalues
, 2011
"... We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2norm that has a set of specified eigenvalues. We derive a singular value optimization characterization for this problem and illustrate its usefulness for two applications. First, the characterizat ..."
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Cited by 5 (2 self)
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We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2norm that has a set of specified eigenvalues. We derive a singular value optimization characterization for this problem and illustrate its usefulness for two applications. First
EIGENVALUE OF THE LAPLACIAN ON
"... pinching theorem for the first eigenvalue of the laplacian on hypersurfaces of the euclidean space ..."
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pinching theorem for the first eigenvalue of the laplacian on hypersurfaces of the euclidean space
EIGENVALUE PROBLEM
"... Abstract. This paper is concerned with the Hermitian positive definite generalized eigenvalue problem A − λB for partitioned matrices ..."
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Abstract. This paper is concerned with the Hermitian positive definite generalized eigenvalue problem A − λB for partitioned matrices
QUASILINEAR EIGENVALUES
"... Abstract. In this work, we review and extend some well known results for the eigenvalues of the Dirichlet p−Laplace operator to a more general class of monotone quasilinear elliptic operators. As an application we obtain some homogenization results for nonlinear eigenvalues. 1. ..."
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Abstract. In this work, we review and extend some well known results for the eigenvalues of the Dirichlet p−Laplace operator to a more general class of monotone quasilinear elliptic operators. As an application we obtain some homogenization results for nonlinear eigenvalues. 1.
Results 1  10
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118,748