New Results in Matrix Analysis and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematics and Computer Science".

Deadline for manuscript submissions: 31 December 2024 | Viewed by 1842

Special Issue Editor


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Guest Editor
Department of Mathematics and Statistics, Troy University, Troy, AL 36082, USA
Interests: linear and multilinear algebra; matrix analysis and quantum information

Special Issue Information

Dear Colleagues, 

Matrix theory and matrix analysis play a central role in mathematics and have applications in various fields, especially in quantum information theory. The goal of this Special Issue entitled “New Results in Matrix Analysis and Applications” is to collect the most recent results in all aspects of linear and multilinear algebra, matrix analysis and their applications, especially in quantum information theory.

Potential topics include, but are not limited to, the following:

  • Theory of matrix means;
  • Theory of operator monotone functions;
  • Quantum information theory;
  • Matrix equations;
  • Matrix optimizations;
  • Majorization theory and applications;
  • Matrix and operator inequalities.

Dr. Trung-Hoa Dinh
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

  • matrix means
  • operator monotone functions
  • quantum divergences
  • matrix inequalities
  • trace inequalities
  • matrix equations
  • matrix optimizations
  • quantum information
  • convexity and majorization

Published Papers (1 paper)

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Research

12 pages, 271 KiB  
Article
(R, S)-(Skew) Symmetric Solutions to Matrix Equation AXB = C over Quaternions
by Ruopeng Liao, Xin Liu, Sujuan Long and Yang Zhang
Mathematics 2024, 12(2), 323; https://doi.org/10.3390/math12020323 - 18 Jan 2024
Viewed by 687
Abstract
(R,S)-(skew) symmetric matrices have numerous applications in civil engineering, information theory, numerical analysis, etc. In this paper, we deal with the (R,S)-(skew) symmetric solutions to the quaternion matrix equation AXB=C. [...] Read more.
(R,S)-(skew) symmetric matrices have numerous applications in civil engineering, information theory, numerical analysis, etc. In this paper, we deal with the (R,S)-(skew) symmetric solutions to the quaternion matrix equation AXB=C. We use a real representation Aτ to obtain the necessary and sufficient conditions for AXB=C to have (R,S)-(skew) symmetric solutions and derive the solutions when it is consistent. We also derive the least-squares (R,S)-(skew) symmetric solution to the above matrix equation. Full article
(This article belongs to the Special Issue New Results in Matrix Analysis and Applications)
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