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Publications Influence

On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure

- J. Moro, J. Burke, M. Overton
- Mathematics
- 1 October 1997

Let A be a complex matrix with arbitrary Jordan structure and $\lambda$ an eigenvalue of A whose largest Jordan block has size n. We review previous results due to Lidskii [U.S.S. R. Comput. Math.… Expand

150 7- PDF

Structured Hölder Condition Numbers for Multiple Eigenvalues

- D. Kressner, M. J. Peláez, J. Moro
- Mathematics, Computer Science
- SIAM J. Matrix Anal. Appl.
- 1 February 2009

TLDR

28 5- PDF

Low Rank Perturbation of Jordan Structure

TLDR

57 4

Weyl-type relative perturbation bounds for eigensystems of Hermitian matrices

- F. Dopico, J. Moro, J. M. Molera
- Mathematics
- 15 April 2000

We present a Weyl-type relative bound for eigenvalues of Hermitian perturbations A+E of (not necessarily definite) Hermitian matrices A. This bound, given in function of the quantity… Expand

19 4- PDF

First order spectral perturbation theory of square singular matrix pencils

Abstract Let H ( λ ) = A 0 + λ A 1 be a square singular matrix pencil, and let λ 0 ∈ C be an eventually multiple eigenvalue of H ( λ ) . It is known that arbitrarily small perturbations of H ( λ )… Expand

24 2- PDF

Low Rank Perturbation of Weierstrass Structure

TLDR

31 2

Lagrangian means

- L. R. Berrone, J. Moro
- 1998

Abstract. We define Lagrangian means as those obtained from applying the classical mean value formula to a strictly convex regular function. We show that there is a close relationship between… Expand

15 2

Accurate Factorization and Eigenvalue Algorithms for Symmetric DSTU and TSC Matrices

- M. J. Peláez, J. Moro
- Mathematics, Computer Science
- SIAM J. Matrix Anal. Appl.
- 1 December 2006

TLDR

13 2

On nonnegative matrices similar to positive matrices

- A. Borobia, J. Moro
- Mathematics
- 15 November 1997

Abstract Let Nn denote the set of those (1, λ2, …, λn) ∈ C n such that there exists a nonnegative matrix with Perron root equal to one and spectrum {1, λ2, …, λn}. We prove that Nn is star-shaped… Expand

17 2

On the distributional Fourier duality and its applications

- A. García, J. Moro, M. A. Hernandez-Medina
- Mathematics
- 1 November 1998

Abstract Sampling theorems for bandlimited functions or distributions are obtained by exploiting the topological isomorphism between the space E ′( R ) of distributions of compact support on R and… Expand

6 2

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