Results 31 to 40 of about 6,942 (263)
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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Electronic Journal of Qualitative Theory of Differential Equations, 2019 This work deals with the interior transmission eigenvalue problem: $y'' + {k^2}\eta \left( r \right)y = 0$ with boundary conditions ${y\left( 0 \right) = 0 = y'\left( 1 \right)\frac{{\sin k}}{k} - y\left( 1 \right)\cos k},$ where the function $\eta(r ...
Xiao-Chuan Xu +3 more
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Results in Applied Mathematics, 2020 The interior elastic transmission eigenvalue problem, arising from the inverse scattering theory of non-homogeneous elastic media, is nonlinear, non-self-adjoint and of fourth order.
Xia Ji, Peijun Li, Jiguang Sun
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A note on convex relaxations for the inverse eigenvalue problem [PDF]
Optimization Letters, 2021 The affine inverse eigenvalue problem consists of identifying a real symmetric matrix with a prescribed set of eigenvalues in an affine space. Due to its ubiquity in applications, various instances of the problem have been widely studied in the literature.
Candogan, Utkan +2 more
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Inverse eigenvalue problems for composite banded tridiagonal matrices: symmetric and nonsymmetric cases [PDF]
Iranian Journal of Numerical Analysis and OptimizationWe study an inverse eigenvalue problem associated with a special class of structured matrices in both symmetric and nonsymmetric forms. In the symmetric case, the problem involves two sets of eigenpairs corresponding to the original matrix and its ...
Maryam Babaei Zarch
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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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A recursive condition for the symmetric nonnegative inverse eigenvalue problem
Revista Integración, 2017 In this paper we present a sufficient ondition and a necessary condition for Symmetri Nonnegative Inverse Eigenvalue Problem. This condition is independent of the existing realizability criteria.
Elvis Ronald Valero +2 more
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Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
Advances in Mathematical Physics, 2021 This paper is concerned with the inverse eigenvalue problem for singular rank one perturbations of a Sturm-Liouville operator. We determine uniquely the potential function from the spectra of the Sturm-Liouville operator and its rank one perturbations.
Xuewen Wu
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Velocity‐Tunable Exciton‐Photon Hybridization in Cathodoluminescence
Advanced Functional Materials, EarlyView.Transition‐radiation resonances in suspended thin crystals hybridise with excitonic transitions under free‐electron excitation. By tuning the electron energy, the photonic resonances are continuously detuned across the exciton states, enabling controllable exciton–photon hybridisation below the diffraction limit without altering the system geometry ...
Sven Ebel +4 more
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