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Volume 14
Issue 3
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Editorial

An Editorial to the Mathematics Special Issue “Numerical Analysis and Matrix Computations: Theory and Applications”

by
Petko H. Petkov
Department of Engineering Sciences, Bulgarian Academy of Sciences, 1040 Sofia, Bulgaria
Mathematics 2026, 14(3), 394; https://doi.org/10.3390/math14030394
Submission received: 23 December 2025 / Accepted: 20 January 2026 / Published: 23 January 2026
(This article belongs to the Special Issue Numerical Analysis and Matrix Computations: Theory and Applications)
Versions Notes
This Special Issue of the journal Mathematics was dedicated to the numerical analysis and matrix computations. The area of numerical matrix computations is a field of intensive research and important applications. Matrix computations are used in almost all sciences and engineering, including disciplines such as quantum information, mathematical biology, seismology, data science, dynamical systems, control theory, signal and image processing, geometrical modeling, network theory, and many others.
The aim of this Special Issue was to assist specialists in the field to share their state-of-the-art research results, present application experience, exchange new ideas, and discuss future developments in the area of numerical matrix computations.
In the Call for Papers, a large number of subjects were mentioned, e.g., perturbation analysis of matrix problems, ill-conditioned matrix problems and their regularization, Matrices depending on parameters, Eigenvalue and Eigenspace sensitivity, Computations related to matrix pencils and matrix polynomials, Eigenvalue computations, Jordan and Schur algorithms in matrix computations, numerical solution of matrix equations and linear matrix inequalities, computing matrix functions, numerical matrix methods for solving difference and differential equations, software for matrix computations, numerical computations in engineering problems, etc.
Six papers were published between 2022 and 2025. Some of them are of significant relevance and practical importance. All submissions were reviewed by at least two experts from the corresponding research field.
It is my pleasure to thank all authors for submitting their recent works, all reviewers for their timely and insightful reports, and the staff of the Editorial Office for their effective support in preparing this Special Issue. I hope that the readers of this Special Issue will find stimulating ideas that initiate new research works in this interesting research field of great practical importance.

Conflicts of Interest

The author declares no conflicts of interest.

List of Contributions

  • Ahmad, D.; Khan, M.F.; Serra-Capizzano, S. Matrix-Sequences of Geometric Means in the Case of Hidden (Asymptotic) Structures. Mathematics 2025, 13, 393. https://doi.org/10.3390/math13030393.
  • Orera, H.; Peña, J.M. The High Relative Accuracy of Computations with Laplacian Matrices. Mathematics 2024, 12, 3491. https://doi.org/10.3390/math12223491.
  • Awad, Y.; Fakin, H.; Alkhezi, Y. Numerical Linear Algebra for the Two-Dimensional Bertozzi–Esedoglu–Gillette–Cahn–Hilliard Equation in Image Inpainting. Mathematics 2023, 11, 4952. https://doi.org/10.3390/math11244952.
  • Ivanov, I.G.; Yang, H. On the Iterative Methods for the Solution of Three Types of Nonlinear Matrix Equations. Mathematics 2023, 11, 4436. https://doi.org/10.3390/math11214436.
  • Zeng, W.; Liu, J.; Mo, H. Schur Complement-Based Infinity Norm Bound for the Inverse of Dashnic-Zusmanovich Type Matrices. Mathematics 2023, 11, 2254. https://doi.org/10.3390/math11102254.
  • Petkov, P.H. Componentwise Perturbation Analysis of the QR Decomposition of a Matrix. Mathematics 2022, 10, 4687. https://doi.org/10.3390/math10244687.
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

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MDPI and ACS Style

Petkov, P.H. An Editorial to the Mathematics Special Issue “Numerical Analysis and Matrix Computations: Theory and Applications”. Mathematics 2026, 14, 394. https://doi.org/10.3390/math14030394

AMA Style

Petkov PH. An Editorial to the Mathematics Special Issue “Numerical Analysis and Matrix Computations: Theory and Applications”. Mathematics. 2026; 14(3):394. https://doi.org/10.3390/math14030394

Chicago/Turabian Style

Petkov, Petko H. 2026. "An Editorial to the Mathematics Special Issue “Numerical Analysis and Matrix Computations: Theory and Applications”" Mathematics 14, no. 3: 394. https://doi.org/10.3390/math14030394

APA Style

Petkov, P. H. (2026). An Editorial to the Mathematics Special Issue “Numerical Analysis and Matrix Computations: Theory and Applications”. Mathematics, 14(3), 394. https://doi.org/10.3390/math14030394

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