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On the second real eigenvalue of nonnegative and Zmatrices
 LINEAR ALGEBRA APPL
, 1997
"... We give bounds for the second real eigenvalue of nonnegative matrices and Zmatrices. Furthermore, we establish upper bounds for the maximal spectral radii of principal submatrices of nonnegative matrices. Using this bounds we prove that our inequality for the second real eigenvalue of the inciden ..."
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Cited by 5 (2 self)
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We give bounds for the second real eigenvalue of nonnegative matrices and Zmatrices. Furthermore, we establish upper bounds for the maximal spectral radii of principal submatrices of nonnegative matrices. Using this bounds we prove that our inequality for the second real eigenvalue
PERTURBING NONREAL EIGENVALUES OF NONNEGATIVE REAL MATRICES
 ELA
, 2005
"... Let A be an (entrywise) nonnegative n×n matrix with spectrum σ and Perron eigenvalue ρ. Guo Wuwen [Linear Algebra and its Applications 266 (1997), pp. 261–267] has shown that if λ is another real eigenvalue of A, then, for all t ≥ 0, replacing ρ, λ in σ by ρ+ t, λ − t, respectively, while keeping a ..."
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Cited by 3 (0 self)
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Let A be an (entrywise) nonnegative n×n matrix with spectrum σ and Perron eigenvalue ρ. Guo Wuwen [Linear Algebra and its Applications 266 (1997), pp. 261–267] has shown that if λ is another real eigenvalue of A, then, for all t ≥ 0, replacing ρ, λ in σ by ρ+ t, λ − t, respectively, while keeping
Characterization of Sign Controllability for Linear Systems with Real Eigenvalues
"... Abstract — A linear timeinvariant system of the form ˙x(t) = Ax(t) + Bu(t), or x(t + 1) = Ax(t) + Bu(t) is sign controllable if all linear timeinvariant systems whose matrices A ′ and B ′ have the same sign pattern as A and B are controllable. This work characterizes the sign controllability for ..."
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Cited by 1 (1 self)
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for systems, whose sign pattern of A allows only real eigenvalues. Moreover, we present a combinatorial condition which is necessary for sign controllability and we show that if this condition is satisfied, then in all linear timeinvariant systems with that sign pattern, all real eigenvalues of A
CLASSES OF NONHERMITIAN OPERATORS WITH REAL EIGENVALUES
, 2010
"... Classes of nonHermitian operators that have only real eigenvalues are presented. Such operators appear in quantum mechanics and are expressed in terms of the generators of the WeylHeisenberg algebra. For each nonHermitian operator A, a Hermitian involutive operator ˆ J such that A is ˆJHermiti ..."
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Classes of nonHermitian operators that have only real eigenvalues are presented. Such operators appear in quantum mechanics and are expressed in terms of the generators of the WeylHeisenberg algebra. For each nonHermitian operator A, a Hermitian involutive operator ˆ J such that A is ˆJ
Bounds on real eigenvalues and singular values of interval matrices
 SIAM J. Matrix Anal. Appl
"... Abstract. We study bounds on real eigenvalues of interval matrices, and our aim is to develop fast computable formulae that produce assharpaspossible bounds. We consider two cases: general and symmetric interval matrices. We focus on the latter case, since on the one hand such interval matrices h ..."
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Cited by 8 (1 self)
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Abstract. We study bounds on real eigenvalues of interval matrices, and our aim is to develop fast computable formulae that produce assharpaspossible bounds. We consider two cases: general and symmetric interval matrices. We focus on the latter case, since on the one hand such interval matrices
Real Eigenvalue of a NonHermitian Hamiltonian System
, 2012
"... With a view to getting further insight into the solutions of onedimensional analogous Schrödinger equation for a nonhermitian (complex) Hamiltonian system, we investigate the quasiexact symmetric solutions for an octic potential and its variant using extended complex phase space approach characte ..."
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on the nature of eigenvalue and eigenfunction of a system. The imaginary part of energy eigenvalue of a nonhermitian Hamiltonian exist for complex potential parameters and reduces to zero for real parameters. However, in the present work, it is found that imaginary component of the energy eigenvalue vanishes
SOME PROPERTIES OF 3 × 3 OCTONIONIC HERMITIAN MATRICES WITH NONREAL EIGENVALUES
, 2000
"... We discuss our preliminary attempts to extend previous work on 2 × 2 Hermitian octonionic matrices with nonreal eigenvalues to the 3 × 3 case. 1. ..."
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We discuss our preliminary attempts to extend previous work on 2 × 2 Hermitian octonionic matrices with nonreal eigenvalues to the 3 × 3 case. 1.
A Parallelizable Eigensolver for Real Diagonalizable Matrices with Real Eigenvalues
, 1991
"... . In this paper, preliminary research results on a new algorithm for finding all the eigenvalues and eigenvectors of a real diagonalizable matrix with real eigenvalues are presented. The basic mathematical theory behind this approach is reviewed and is followed by a discussion of the numerical consi ..."
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Cited by 28 (6 self)
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. In this paper, preliminary research results on a new algorithm for finding all the eigenvalues and eigenvectors of a real diagonalizable matrix with real eigenvalues are presented. The basic mathematical theory behind this approach is reviewed and is followed by a discussion of the numerical
A PTsymmetric QES partner to the KhareMandal potential with real eigenvalues
, 2001
"... We consider a PTsymmetric partner to KhareMandal’s recently proposed nonHermitian potential with complex eigenvalues. Our potential, which is quasiexactly solvable, is shown to possess only real eigenvalues. ..."
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We consider a PTsymmetric partner to KhareMandal’s recently proposed nonHermitian potential with complex eigenvalues. Our potential, which is quasiexactly solvable, is shown to possess only real eigenvalues.
Results 1  10
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2,704