Computational Methods for Numerical Linear Algebra

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C: Mathematical Analysis".

Deadline for manuscript submissions: 31 May 2026 | Viewed by 279

Special Issue Editor


E-Mail Website
Guest Editor
Department of Mathematics, Hong Kong Baptist University, Hong Kong, China
Interests: numerical linear algebra; nonnegative matrix factorization; tensor decomposition; numerical optimization; data mining; machine learning

Special Issue Information

Dear Colleagues,

This Special Issue on Computational Methods for Numerical Linear Algebra aims to highlight the latest advancements and innovative techniques in the field. Numerical linear algebra is foundational to various scientific and engineering applications, and efficient computational methods are crucial for solving large-scale problems that arise in data analysis, machine learning, simulations, and other fields.

We invite contributions that explore new algorithms, theoretical developments, and practical implementations in numerical linear algebra. Topics of interest include, but are not limited to, iterative methods for solving linear systems, eigenvalue problems, singular value decomposition, matrix and tensor factorization techniques, parallel and distributed computing approaches, and quantum computing. We also welcome studies that address numerical stability, complexity analysis, and applications of these methods in real-world scenarios.

By fostering collaboration and knowledge exchange among researchers and practitioners, this Special Issue aims to advance the state-of-the-art computational methods for numerical linear algebra, providing a comprehensive resource for those seeking to enhance their understanding and application of these critical techniques. We encourage authors to submit original research papers that contribute to this evolving field.

Dr. Junjun Pan
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • eigenvalue problems
  • singular value decomposition
  • matrix/tensor factorization techniques
  • parallel and distributed computing approaches
  • quantum computing

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

19 pages, 744 KB  
Article
A Spectral Approach to Solve High-Order Ordinary Differential Equations: Improved Operational Matrices for Exponential Jacobi Functions
by Hany Mostafa Ahmed
Mathematics 2025, 13(19), 3154; https://doi.org/10.3390/math13193154 - 2 Oct 2025
Viewed by 186
Abstract
This paper presents a novel numerical approach to handling ordinary differential equations (ODEs) with initial conditions (ICs) by introducing generalized exponential Jacobi functions (GEJFs). These GFJFs satisfy the associated ICs. A crucial part of this approach is using the spectral collocation method (SCM) [...] Read more.
This paper presents a novel numerical approach to handling ordinary differential equations (ODEs) with initial conditions (ICs) by introducing generalized exponential Jacobi functions (GEJFs). These GFJFs satisfy the associated ICs. A crucial part of this approach is using the spectral collocation method (SCM) and building operational matrices (OMs) for the ordinary derivatives (ODs) of GEJFs. These lead to efficient and accurate computations. The suggested algorithm’s convergence and error analysis is proved. We present numerical examples to demonstrate the applicability of the approach. Full article
(This article belongs to the Special Issue Computational Methods for Numerical Linear Algebra)
Show Figures

Figure 1

Back to TopTop