Results 21 to 30 of about 5,971,680 (301)
Solvability and Stability of the Inverse Problem for the Quadratic Differential Pencil
Mathematics, 2021 The inverse spectral problem for the second-order differential pencil with quadratic dependence on the spectral parameter is studied. We obtain sufficient conditions for the global solvability of the inverse problem, prove its local solvability and ...
Natalia P. Bondarenko, Andrey V. Gaidel
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Inverse Eigenvalue Problem of Unitary Hessenberg Matrices
Discrete Dynamics in Nature and Society, 2009 Let H∈ℂn×n be an n×n unitary upper Hessenberg matrix whose subdiagonal elements are all positive, let Hk be the kth leading principal submatrix of H, and let H˜k be a modified submatrix of Hk.
Chunhong Wu, Linzhang Lu
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On the Teng inverse eigenvalue problem [PDF]
, 1994 The Teng problem is a very special case of the inverse additive eigenvalue problem. Teng has shown that all the solutions of this problem are given by roots of a polynomial f(t) in one variable.
Chugunov, Vadim N., Ikramov, Khakim D.
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On Parameterised Quadratic Inverse Eigenvalue Problem
East Asian Journal on Applied Mathematics, 2021 It is shown that if prescribed eigenvalues are distinct, then the parameterised quadratic inverse eigenvalue problem is equivalent to a multiparameter eigenvalue problem. Moreover, a sufficient condition for the problem solvability is established. In order to find approximate solution of this problem, we employ the Newton method based on the smooth $QR$
Xiang, Meiling, Dai, Hua
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Determination of the Impulsive Dirac Systems from a Set of Eigenvalues
Mathematics, 2023 In this work, we consider the inverse spectral problem for the impulsive Dirac systems on (0,π) with the jump condition at the point π2. We conclude that the matrix potential Q(x) on the whole interval can be uniquely determined by a set of eigenvalues ...
Ran Zhang, Chuanfu Yang, Kai Wang
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The inverse eigenvalue problem for entanglement witnesses [PDF]
Linear Algebra and its Applications, 2018 We consider the inverse eigenvalue problem for entanglement witnesses, which asks for a characterization of their possible spectra (or equivalently, of the possible spectra resulting from positive linear maps of matrices). We completely solve this problem in the two-qubit case and we derive a large family of new necessary conditions on the spectra in ...
Nathaniel Johnston, Everett Patterson
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Inverse eigenvalue problem of cell matrices
Czechoslovak Mathematical Journal, 2019 In this paper, we consider the problem of reconstructing an $n \times n$ cell matrix $D(\vec{x})$ constructed from a vector $\vec{x} = (x_{1}, x_{2},\dots, x_{n})$ of positive real numbers, from a given set of spectral data. In addition, we show that the spectrum of cell matrices $D(\vec{x})$ and $D(π(\vec{x}))$ are the same, for every permutation $π ...
Khim, Sreyaun, Rodtes, Kijti
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Numerical construction of structured matrices with given eigenvalues
Special Matrices, 2019 We consider a structured inverse eigenvalue problem in which the eigenvalues of a real symmetric matrix are specified and selected entries may be constrained to take specific numerical values or to be nonzero.
Sutton Brian D.
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Important Issues on Spectral Properties of a Transmission Eigenvalue Problem
International Journal of Differential Equations, 2021 Nowadays, inverse scattering is an important field of interest for many mathematicians who deal with partial differential equations theory, and the research in inverse scattering is in continuous progress. There are many problems related to scattering by
Besiana Cobani +2 more
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Inverse eigenvalue problem for some special matrices [PDF]
, 1990 We solve an inverse eigenvalue problem for a special class of ...
Degui, Teng
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