New Advances in Numerical Linear Algebra and Its Applications

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 31 March 2026 | Viewed by 11

Special Issue Editor


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Guest Editor
Department of Engineering Sciences, Bulgarian Academy of Sciences, 1040 Sofia, Bulgaria
Interests: matrix computations; control theory; robust control; numerical methods; software for matrix computations and control system design
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Special Issue Information

Dear Colleagues,

Numerical Linear Algebra is the basis of Numerical Analysis. All numerical algorithms involve elements related to the solution of linear systems, linear least squares problems or eigenvalue and singular-value computations. Since this is an area of active research, new ideas and applications are constantly emerging. Therefore, this Special Issue will be devoted to new work on Numerical Linear Algebra and its applications. You are invited to share your state-of-the-art research results, present your application experiences, exchange new ideas and discuss future developments in Numerical Linear Algebra.

The topics of interest include but are not limited to the following:

  1. The application of differential geometry and topology in Numerical Linear Algebra;
  2. The perturbation analysis of eigensystem decompositions and matrix equations;
  3. Error analysis in matrix computations;
  4. The regularization of ill-posed problems;
  5. The numerical solution of linear systems and least squares problems;
  6. The numerical solution of eigenvalue problems;
  7. Large-scale problems;
  8. The Krylov subspace, Rayleigh–Ritz, Arnoldi and Lanczos methods;
  9. Computing the functions of matrices;
  10. Numerical matrix methods for solving ordinary and partial differential equations;
  11. Nonlinear eigenvalue methods;
  12. Software for matrix computations.

Prof. Dr. Petko Petkov
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • numerical linear algebra
  • matrix computations
  • perturbation analysis
  • least squares problems
  • eigenvalue problems
  • ill-posed problems
  • regularization methods
  • software for numerical matrix computations

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Published Papers

This special issue is now open for submission.
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