Results 241 to 250 of about 7,423,787 (281)

The WZ algorithm for the eigenvalue problem of complex matrix

Applied Mathematics and Computation, 2005
The authors analyse the eigenvalue problem of a complex matrix. Based on a new factorization and splitting WZ procedure, they propose an algorithm for the above mentioned eigenvalue problem and prove necessary and sufficient conditions that the LR factorization of the complex matrix is equivalent to the WZ factorization of the transformed real matrix ...
Shiguang Li, Gang Zhou, Dayue Chen 0001
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Complementarity eigenvalue problems for nonlinear matrix pencils

Applied Mathematics and Computation, 2017
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António Pinto da Costa, Alberto Seeger, F. M. F. Simões   +2 more
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Removal of infinite eigenvalues in the generalized matrix eigenvalue problem

Journal of Computational Physics, 1989
The generalized matrix eigenvalue problem (1) \([A(p)-\lambda B(p)]x=0\) is considered, where A, B are complex \(n\times n\) matrices depending on a parameter p, and B is singular. Two main approaches to solve this problem are known. Firstly one considers the reciprocal problem \((B-\mu A)x=0\) and secondly an alternative method which consists in a ...
Goussis, Dimitrios A., Pearlstein, Arne J.   +1 more
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The Reserching of the Second-Order Matrix Eigenvalue Problem

2011
This 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 inequalities and the additive inverse eigenvalue problem

Computing, 1972
LetA 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, 2000
In 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 Mathematics
Abstract The free longitudinal vibrations of a rod are described by a differential equation of the form (
Hanif Mirzaei, Vahid Abbasnavaz, Kazem Ghanbari   +2 more
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Matrix Formulation of the Eigenvalue Problem

2002
The 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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An eigenvalue problem for a symmetric Toeplitz matrix

Numerical Analysis and Applications, 2009
An algorithm is developed which determines eigenvalues for a symmetric Toeplitz matrix. To this end, we substantiate the generality of eigenvalues problems for a symmetric Toeplitz matrix and for a persymmetric Hankel one. The latter is reduced to an eigenvalue problem for a persymmetric Jacobi matrix.
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A Matrix Eigenvalue Problem

SIAM Review, 1979
G. Efroymson, A. Steger, S. Steinberg
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