Matrix Inequalities and Matrix Equations: Theory and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "A: Algebra and Logic".
Deadline for manuscript submissions: 28 February 2026
Special Issue Editor
Interests: linear and multilinear algebra; numerical linear algebra; matrix theory with application
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleague,
Matrix inequalities and matrix equations are central research topics in matrix analysis and applied mathematics, with broad applications in control theory, optimization, signal processing, quantum mechanics, machine learning, and beyond. Recent advancements in high-dimensional data analysis, complex system modeling, and intelligent algorithm design have driven continuous innovation in the theory and computational methods of matrix inequalities and equations, making them a hotspot for interdisciplinary research.
Topics of interest include, but are not limited to, the following: matrix inequalities, operator inequalities, matrix equations, Lyapunov equations, Riccati equations, matrix norms, trace inequalities, eigenvalue inequalities, matrix convex functions, non-Hermitian matrices, linear matrix inequalities (LMIs), semidefinite programming (SDP), matrix decomposition, iterative algorithms, Krylov subspace methods, low-rank approximation, tensor network algorithms, and stochastic gradient methods.
This Special Issue aims to collate cutting-edge research on matrix inequalities and matrix equations, bridging theoretical advancements and practical innovations.
Prof. Dr. Qingwen Wang
Guest Editor
Manuscript Submission Information
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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
- matrix inequalities
- operator inequalities
- linear matrix inequalities
- matrix analysis
- matrix equations
- matrix decomposition
- low-rank approximation
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