Infinite Matrices and Their Applications

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

Deadline for manuscript submissions: 24 November 2024 | Viewed by 886

Special Issue Editors


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Guest Editor
Mathematics Department, University of Manitoba, Winnipeg, MB R2M 0T8, Canada
Interests: infinite matrices and their applications; numerical analysis; mathematical biology; industrial research

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Guest Editor
Department of Mathematics, Shanghai University, Shanghai 200444, China
Interests: matrix theory; quaternion algebra; numerical linear algebra
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Department of Mathematics, University of Manitoba, Winnipeg, MB R2M 0T8, Canada
Interests: algebra; computer algebra; applications of computer algebra
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Infinite matrices play important roles in mathematics and other sciences. In this Special Issue, we are mainly concerned with the theory of finite and infinite matrices/tensors over the real numbers, complex numbers, and over generalized quaternions. This Special Issue will include, but is not limited to:

  • The fast computing algorithms for eigenvalues of matrices/tensors.
  • Various decompositions of matrices/tensors.
  • Solving matrix/tensor equations
  • Computing generalized inverses.

Prof. Dr. Pappur Nagappa Shivakumar
Dr. Zhuo-Heng He
Prof. Dr. Yang Zhang
Guest Editors

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

  • infinite matrices/tensors
  • SVD
  • eigenvalues
  • generalized inverse

Published Papers (1 paper)

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Research

14 pages, 646 KiB  
Article
Unitary Diagonalization of the Generalized Complementary Covariance Quaternion Matrices with Application in Signal Processing
by Zhuo-Heng He, Xiao-Na Zhang and Xiaojing Chen
Mathematics 2023, 11(23), 4840; https://doi.org/10.3390/math11234840 - 01 Dec 2023
Viewed by 618
Abstract
Let H denote the quaternion algebra. This paper investigates the generalized complementary covariance, which is the ϕ-Hermitian quaternion matrix. We give the properties of the generalized complementary covariance matrices. In addition, we explore the unitary diagonalization of the covariance and generalized complementary [...] Read more.
Let H denote the quaternion algebra. This paper investigates the generalized complementary covariance, which is the ϕ-Hermitian quaternion matrix. We give the properties of the generalized complementary covariance matrices. In addition, we explore the unitary diagonalization of the covariance and generalized complementary covariance. Moreover, we give the generalized quaternion unitary transform algorithm and test the performance by numerical simulation. Full article
(This article belongs to the Special Issue Infinite Matrices and Their Applications)
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