Eigenvalue perturbation

In mathematics, an eigenvalue perturbation problem is that of finding the eigenvectors and eigenvalues of a system that is perturbed from one with… (More)
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Topic mentions per year

1978-2016
02419782016

Papers overview

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2010
2010
We study the perturbation theory of structured matrices under structured rank one perturbations, and then focus on several… (More)
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2007
2007
Residue perturbation (RP) is often used a means for enforcing passivity of rational models. One RP version combines a least… (More)
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2005
2005
We extend the perturbation theory of Vǐsik, Ljusternik and Lidskĭı for eigenvalues of matrices, using methods of min-plus algebra… (More)
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2004
2004
First order perturbation theory for eigenvalues of arbitrary matrices is systematically developed in all its generality with the… (More)
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2003
2003
Optimization problems involving the eigenvalues of symmetric and nonsymmetric matrices present a fascinating mathematical… (More)
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2000
2000
In this article, we present an algorithmic approach to the eigenvalue perturbation problem. We show that any matrix perturbation… (More)
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1999
1999
We obtain eigenvalue perturbation results for a factorised Hermitian matrix H = GJ G where J 2 = I and G has full row rank and is… (More)
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1998
1998
In this paper, we study the computational aspect of eigenvalue perturbation theory. In previous research, high order perturbation… (More)
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Highly Cited
1995
Highly Cited
1995
1 This paper extends the theory of trust region subproblems in two ways: (i) it allows indeenite inner products in the quadratic… (More)
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1991
1991
We highlight progress in the study of eigenvalue perturbation theory, especially problems connected to quantum mechanics. Six… (More)
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