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Electronic Transactions on Numerical Analysis

Electronic Transactions on Numerical Analysis (ETNA) is an electronic journal for the publication of significant new developments in numerical analysis and scientific computing. Papers of the highest quality that deal with the analysis of algorithms for the solution of continuous models and numerical linear algebra are appropriate for ETNA, as are papers of similar quality that discuss implementation and performance of such algorithms. New algorithms for current or new computer architectures are appropriate provided that they are numerically sound. However, the focus of the publication should be on the algorithm rather than on the architecture. The journal is published by the Kent State University Library in conjunction with the Institute of Computational Mathematics at Kent State University, and in cooperation with the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences (RICAM). Reviews of all ETNA papers appear in Mathematical Reviews and Zentralblatt für Mathematik. Reference information for ETNA papers also appears in the expanded Science Citation Index. ETNA is registered with the Library of Congress and has ISSN 1068-9613.


Manuscripts will be posted as soon as they are accepted in a directory which is publicly accessible through the Internet. On a regular basis, the titles of these manuscripts will be e-mailed to registered departments and individuals and posted on public bulletin boards such as NA-digest. All manuscripts are in PDF format. They can be accessed via the World Wide Web at http://etna.math.kent.edu or one of its mirror sites.

The first issue of ETNA appeared on September 1, 1993. The Journal was founded by Lothar Reichel, Arden Ruttan and Richard S. Varga.

The complete set of papers published in ETNA through 2006 (Volumes 1-25) are available on a single CD-ROM (Details).

Inquiries for further information about ETNA should be e-mailed to etna@ricam.oeaw.ac.at.


ETNA has been able to operate and offer free access to its papers since 1993, mostly due to generous support of Kent State University. To supplement this support, and to be able to continue this service to the scientific community, contributions are welcomed (Details).

Latest articles

Biorthogonal rational Krylov subspace methods
Niel Van Buggenhout, Marc Van Barel, and Raf Vandebril
Volume 51, Pages 451-468; Abstract and links, Full Text (PDF) [346 KB]
Preconditioning the coarse problem of BDDC methods ‐ three-level, algebraic multigrid, and vertex-based preconditioners
Axel Klawonn, Martin Lanser, Oliver Rheinbach, and Janine Weber
Volume 51, Pages 432-450; Abstract and links, Full Text (PDF) [923 KB]
Augmented GMRES-type versus CGNE methods for the solution of linear ill-posed problems
Andreas Neubauer
Volume 51, Pages 412-431; Abstract and links, Full Text (PDF) [408 KB]
Algebraic analysis of two-level multigrid methods for edge elements
Artem Napov and Ronan Perrussel
Volume 51, Pages 387-411; Abstract and links, Full Text (PDF) [407 KB]
On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra
Wei-Ru Xu, Natália Bebiano, and Guo-Liang Chen
Volume 51, Pages 363-386; Abstract and links, Full Text (PDF) [449 KB]