Numerical Linear Algebra and Matrix Computations
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: 31 December 2026 | Viewed by 155
Special Issue Editor
Interests: matrix computations; control theory; robust control; numerical methods; software for matrix computations and control system design
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The field of computational linear algebra is a foundational pillar of modern scientific and engineering computing, with ever-expanding frontiers. 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 journal Mathematics plans to publish a Special Issue devoted to state-of-the-art algorithms, analysis and applications in computational linear algebra. The list of topics covered by the Special Issue includes, but is not restricted to, the following subjects:
- Differential geometry methods in linear algebra
- Ill-conditioned matrix problems and their regularization;
- Matrices depending on parameters;
- Analysis of matrix sequences and polynomials
- Iterative and direct methods for large-scale linear systems;
- High-performance eigenvalue and singular value computations;
- Fast algorithms for structured matrices (e.g., Toeplitz, Hankel, sparse matrices)
- Perturbation analysis of matrix problems;
- Eigenvalue and eigenspaces sensitivity;
- Computations related to matrix pencils and matrix polynomials;
- Jordan and Schur algorithms in matrix computations;
- Computing matrix functions;
- Numerical solution of matrix equations and linear matrix inequalities;
- Numerical matrix methods for solving difference and differential equations;
- Software for matrix computations;
- Applications in data science, machine learning, computational physics, image and signal processing, network analysis and control theory.
Prof. Dr. Petko Petkov
Guest Editor
Manuscript Submission Information
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Keywords
- numerical linear algebra
- matrix computations
- matrix decomposition
- matrix sequences and polynomials
- matrix factorization
- Toeplitz, Hankel, sparse matrices
- perturbation theory
- eigenvalue problems
- singular value decomposition
- dynamic mode decomposition
- tensor computations
- numerical algorithms
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