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The Reserching of the Second-Order Matrix Eigenvalue Problem
2011This paper discusses the second-order matrix eigenvalue problem ϕ = M ϕ, the Bargmann constraint of this problem is given.by the relation between the potential (q, r) and the eigenfunctor ϕ is set up, by means of the nonlinearization of the Lax pairs,we found the Bargmann system of the eigenvalue problem.It can be equal to the Hamilton canonical ...
Shujuan Yuan, Yafeng Yang
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Matrix Inverse Eigenvalue Problems
2011The term matrix eigenvalue problems refers to the computation of the eigenvalues of a symmetric matrix. By contrast, the term inverse matrix eigenvalue problem refers to the construction of a symmetric matrix from its eigenvalues. While matrix eigenvalue problems are well posed, inverse matrix eigenvalue problems are ill posed: there is an infinite ...
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Matrix inequalities and the additive inverse eigenvalue problem
Computing, 1972LetA be anHermitiann×n matrix ands1, ...,sn real numbers; under what conditions does there exist a diagonal realn×n matrixM such thatA+M has eigenvaluess1, ...,sn? In the present note we prove a matrix inequality which gives a necessary condition for this problem to have a solution.
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An algorithm for the eigenvalue perturbation problem
Proceedings of the 2000 international symposium on Symbolic and algebraic computation, 2000In this article, we present an algorithmic approach to the eigenvalue perturbation problem. We show that any matrix perturbation A(e) of an arbitrary nilpotent Jordan canonical form J with all eigenvalues having an order of the form O(e1/(a positive integer)) is similar to a matrix perturbation Atilde;(e) in Arnold normal form that can be seen as ...
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An Inverse Matrix Eigenvalue Problem for Constructing a Vibrating Rod
Computational Methods in Applied MathematicsAbstract The free longitudinal vibrations of a rod are described by a differential equation of the form (
Hanif Mirzaei +2 more
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Matrix Formulation of the Eigenvalue Problem
2002The earliest published version of modern quantum mechanics was Heisenberg’s formulation, known asmatrix mechanics1 In it, Heisenberg turned away from classical quantities that could not be measured experimentally and considered “observable magnitudes” expressible as elements of two dimensional arrays.
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Waveguide Modes Via an Integral Equation Leading to a Linear Matrix Eigenvalue Problem
, 1984G. Conciauro, M. Bressan, C. Zuffada
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Spinless Salpeter equation as a simple matrix eigenvalue problem.
Physical Review D, Particles and fields, 1992Lucha, Rupprecht, Schöberl
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