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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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

- Bjrn Gustavsen
- 2007 IEEE Workshop on Signal Propagation on…
- 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

- Marianne Akian
- 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

- Adrian S. Lewis
- Math. Program.
- 2003

Optimization problems involving the eigenvalues of symmetric and nonsymmetric matrices present a fascinating mathematical… (More)

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2000

2000

- Claude-Pierre Jeannerod
- ISSAC
- 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

- Kre simir Veseli, H Gjg, H H = ( G + G ) J ( G
- 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

- Tian-de Zhang
- 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

- Ronald J. Stern, Henry Wolkowicz
- SIAM Journal on Optimization
- 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

- Barry Simon
- 1991

We highlight progress in the study of eigenvalue perturbation theory, especially problems connected to quantum mechanics. Six… (More)

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