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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.

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

On the regularization effect of stochastic gradient descent applied to least-squares
Stefan Steinerberger
Volume 54, Pages 610-619; Abstract and links, Full Text (PDF) [804 KB]
A stable matrix version of the fast multipole method: stabilization strategies and examples
Difeng Cai and Jianlin Xia
Volume 54, Pages 581-609; Abstract and links, Full Text (PDF) [1 MB]
Computing the matrix fractional power with the double exponential formula
Fuminori Tatsuoka, Tomohiro Sogabe, Yuto Miyatake, Tomoya Kemmochi, and Shao-Liang Zhang
Volume 54, Pages 558-580; Abstract and links, Full Text (PDF) [519 KB]
Preconditioning the Helmholtz equation with the shifted Laplacian and Faber polynomials
Luis García Ramos, Olivier Sète, and Reinhard Nabben
Volume 54, Pages 534-557; Abstract and links, Full Text (PDF) [977 KB]
Coarsening in algebraic multigrid using Gaussian processes
Hanno Gottschalk and Karsten Kahl
Volume 54, Pages 514-533; Abstract and links, Full Text (PDF) [916 KB]