Results 271 to 280 of about 448,247 (335)

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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On the Jacobi Matrix Inverse Eigenvalue Problem with Mixed Given Data

SIAM Journal on Matrix Analysis and Applications, 1996
Shufang Xu
exaly   +2 more sources

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.
exaly   +2 more sources

The Matrix Eigenvalue Problem

2007
David S. Watkins
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A stability analysis of the jacobi matrix inverse eigenvalue problem

BIT Numerical Mathematics, 1993
Shufang Xu
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Eigenvalue Problems in Matrix Mechanics

Journal of Mathematical Physics, 1961
The techniques of the Heisenberg matrix mechanics are extended to treat all potentials of the form Q2n, for n a positive integer. The square well (Q∞) and the potential Q4 are treated in detail.
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Solving the inverse eigenvalue problem via the eigenvector matrix [PDF]

Journal of Computational and Applied Mathematics, 1991
A numerical algorithm for the inverse eigenvalue problem for symmetric matrices is developed, based on continually updating the eigenvector matrix using plane rotations.
Dirk P Laurie
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On sufficient and necessary conditions for the Jacobi matrix inverse eigenvalue problem [PDF]

Numerische Mathematik, 2004
In this paper, we study the inverse eigenvalue problem of a specially structured Jacobi matrix, which arises from the discretization of the differential equation governing the axial of a rod with varying cross section (Ram and Elhay 1998 Commum.
Michael Ng, Linzhang Lu, Lu Linzhang
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A kind of inverse eigenvalue problems of Jacobi matrix

Applied Mathematics and Computation, 2006
The authors consider the problem of reconstructing two \(n\times n\) Jacobi matrices \(J_{n},\;J_{n}^{\ast }\) and vectors \(X_{1}\), \(Y_{1}\in \mathbb{R}^{k}\) such that for a given \(k\times k\) Jacobi matrix \(J_{k}\) where \( \left( 1\leq k\leq n-1\right) \), real scalars \(S,\; \lambda,\; \mu \) and vectors \(X_{2},\) \(Y_{2}\in \mathbb{R}^{n-k}\)
Juan Peng, Xi-Yan Hu, Lei Zhang 0010
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Matrix Eigenvalue Problems

1994
Abstract Characteristic properties of natural systems can often be described by eigenvalues of certain differential equations, see Chapter 8. If the differential equation is discretized, a matrix eigenvalue problem has to be solved. This kind of problem will be considered in this chapter. We will restrict ourselves to real matrices.
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