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Special Issue: Matrix theory and its applications

Guest Editor

Prof. Yongjian Hu
School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
Email: yongjian@bnu.edu.cn

Manuscript Topics


Matrix theory is widely used in mathematics with various applications in systems and control theory, graphs and networks, probability and statistics, mathematical biology, mathematical physics, image processing, scientific computing and so on. The forthcoming special issue “Matrix theory and its applications” is to present a collection of high-quality original research and perspectives that contribute to recent developments in matrix theory, as well as applications in different branches of sciences.


Topics of interest include, but are not limited to:
•  Special matrices
•  Numerical linear algebra
•  Matrix equations
•  Matrix inequalities
•  Combinatorial matrix theory
•  Operator theory


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Please submit your manuscript to online submission system
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Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 30 June 2024

Published Papers(32)

Research article
A note on explicit conditions for diagonal stability
Ali Algefary Jianhong Xu
2024, Volume 9, Issue 9: 25253-25260. doi: 10.3934/math.20241232
Abstract HTML PDF Viewed (724)
Research article
A novel edge-weighted matrix of a graph and its spectral properties with potential applications
Sakander Hayat Sunilkumar M. Hosamani Asad Khan Ravishankar L. Hutagi Umesh S. Mujumdar Mohammed J. F. Alenazi
2024, Volume 9, Issue 9: 24955-24976. doi: 10.3934/math.20241216
Abstract HTML PDF Viewed (807)
Research article
Notes on the generalized Perron complements involving inverse N0-matrices
Qin Zhong Ling Li
2024, Volume 9, Issue 8: 22130-22145. doi: 10.3934/math.20241076
Abstract HTML PDF Viewed (765)
Research article
Infinity norm bounds for the inverse of SDD+1 matrices with applications
Lanlan Liu Yuxue Zhu Feng Wang Yuanjie Geng
2024, Volume 9, Issue 8: 21294-21320. doi: 10.3934/math.20241034
Abstract HTML PDF Viewed (939)
Research article
A characterization of common Lyapunov diagonal stability using Khatri-Rao products
Ali Algefary
2024, Volume 9, Issue 8: 20612-20626. doi: 10.3934/math.20241001
Abstract HTML PDF Cited (1) Viewed (931)
Research article
Interpolation unitarily invariant norms inequalities for matrices with applications
Mohammad Al-Khlyleh Mohammad Abdel Aal Mohammad F. M. Naser
2024, Volume 9, Issue 7: 19812-19821. doi: 10.3934/math.2024967
Abstract HTML PDF Viewed (976)
Research article
The method of judging satisfactory consistency of linguistic judgment matrix based on adjacency matrix and 3-loop matrix
Fengxia Jin Feng Wang Kun Zhao Huatao Chen Juan L.G. Guirao
2024, Volume 9, Issue 7: 18944-18967. doi: 10.3934/math.2024922
Abstract HTML PDF Cited (2) Viewed (870)
Research article
An E-extra iteration method for solving reduced biquaternion matrix equation AX+XB=C
Jiaxin Lan Jingpin Huang Yun Wang
2024, Volume 9, Issue 7: 17578-17589. doi: 10.3934/math.2024854
Abstract HTML PDF Viewed (910)
Research article
Weighted spectral geometric means and matrix equations of positive definite matrices involving semi-tensor products
Arnon Ploymukda Kanjanaporn Tansri Pattrawut Chansangiam
2024, Volume 9, Issue 5: 11452-11467. doi: 10.3934/math.2024562
Abstract HTML PDF Viewed (1149)
Research article
Computing a canonical form of a matrix pencil
Miloud Sadkane Roger Sidje
2024, Volume 9, Issue 5: 10882-10892. doi: 10.3934/math.2024531
Abstract HTML PDF Viewed (1256)
Research article
The simplified modulus-based matrix splitting iteration method for the nonlinear complementarity problem
Ximing Fang
2024, Volume 9, Issue 4: 8594-8609. doi: 10.3934/math.2024416
Abstract HTML PDF Cited (1) Viewed (958)
Research article
Some novel Kulisch-Miranker type inclusions for a generalized class of Godunova-Levin stochastic processes
Waqar Afzal Najla M. Aloraini Mujahid Abbas Jong-Suk Ro Abdullah A. Zaagan
2024, Volume 9, Issue 2: 5122-5146. doi: 10.3934/math.2024249
Abstract HTML PDF Cited (9) Viewed (1213)
Research article
Some matrix inequalities related to norm and singular values
Xiaoyan Xiao Feng Zhang Yuxin Cao Chunwen Zhang
2024, Volume 9, Issue 2: 4205-4210. doi: 10.3934/math.2024207
Abstract HTML PDF Viewed (1576)
Research article
Condition numbers of the generalized ridge regression and its statistical estimation
Jing Kong Shaoxin Wang
2024, Volume 9, Issue 2: 4178-4193. doi: 10.3934/math.2024205
Abstract HTML PDF Viewed (1152)
Research article
A matrix analysis of BLMBPs under a general linear model and its transformation
Li Gong Bo Jiang
2024, Volume 9, Issue 1: 1840-1860. doi: 10.3934/math.2024090
Abstract HTML PDF Viewed (1223)
Research article
Structured backward errors analysis for generalized saddle point problems arising from the incompressible Navier-Stokes equations
Peng Lv
2023, Volume 8, Issue 12: 30501-30510. doi: 10.3934/math.20231558
Abstract HTML PDF Cited (1) Viewed (1136)
Research article
Some new inequalities for nonnegative matrices involving Schur product
Qin Zhong
2023, Volume 8, Issue 12: 29667-29680. doi: 10.3934/math.20231518
Abstract HTML PDF Cited (1) Viewed (1403)
Research article
On the solvability of the indefinite Hamburger moment problem
Yongjian Hu Huifeng Hao Xuzhou Zhan
2023, Volume 8, Issue 12: 30023-30037. doi: 10.3934/math.20231535
Abstract HTML PDF Viewed (1204)
Research article
Spectral properties for a type of heptadiagonal symmetric matrices
João Lita da Silva
2023, Volume 8, Issue 12: 29995-30022. doi: 10.3934/math.20231534
Abstract HTML PDF Viewed (994)
Research article
The reverse order law for the weighted least square g-inverse of multiple matrix products
Baifeng Qiu Zhiping Xiong
2023, Volume 8, Issue 12: 29171-29181. doi: 10.3934/math.20231494
Abstract HTML PDF Viewed (1151)
Research article
New facts related to dilation factorizations of Kronecker products of matrices
Yongge Tian Ruixia Yuan
2023, Volume 8, Issue 12: 28818-28832. doi: 10.3934/math.20231477
Abstract HTML PDF Viewed (1367)
Research article
Some solutions to a third-order quaternion tensor equation
Xiaohan Li Xin Liu Jing Jiang Jian Sun
2023, Volume 8, Issue 11: 27725-27741. doi: 10.3934/math.20231419
Abstract HTML PDF Cited (1) Viewed (1309)
Research article
An estimate for the numerical radius of the Hilbert space operators and a numerical radius inequality
Mohammad H. M. Rashid Feras Bani-Ahmad
2023, Volume 8, Issue 11: 26384-26405. doi: 10.3934/math.20231347
Abstract HTML PDF Cited (1) Viewed (1141)
Research article
Extended Perron complements of M-matrices
Qin Zhong Chunyan Zhao
2023, Volume 8, Issue 11: 26372-26383. doi: 10.3934/math.20231346
Abstract HTML PDF Cited (2) Viewed (1325)
Research article
Metric geometric means with arbitrary weights of positive definite matrices involving semi-tensor products
Arnon Ploymukda Pattrawut Chansangiam
2023, Volume 8, Issue 11: 26153-26167. doi: 10.3934/math.20231333
Abstract HTML PDF Cited (1) Viewed (1167)
Research article
Incomplete exponential type of R-matrix functions and their properties
Ahmed Bakhet Mohra Zayed
2023, Volume 8, Issue 11: 26081-26095. doi: 10.3934/math.20231329
Abstract HTML PDF Cited (2) Viewed (1235)
Research article
A pre-processing procedure for the implementation of the greedy rank-one algorithm to solve high-dimensional linear systems
J. Alberto Conejero Antonio Falcó María Mora–Jiménez
2023, Volume 8, Issue 11: 25633-25653. doi: 10.3934/math.20231308
Abstract HTML PDF Viewed (1400)
Research article
Infinity norm upper bounds for the inverse of SDDk matrices
Xiaodong Wang Feng Wang
2023, Volume 8, Issue 10: 24999-25016. doi: 10.3934/math.20231276
Abstract HTML PDF Cited (4) Viewed (1510)
Research article
A note on positive partial transpose blocks
Moh. Alakhrass
2023, Volume 8, Issue 10: 23747-23755. doi: 10.3934/math.20231208
Abstract HTML PDF Cited (2) Viewed (1362)
Research article
Analytical solutions for the model of moderately thick plates by symplectic elasticity approach
Jianan Qiao Guolin Hou Jincun Liu
2023, Volume 8, Issue 9: 20731-20754. doi: 10.3934/math.20231057
Abstract HTML PDF Cited (2) Viewed (1456)
Research article
Algorithms for simultaneous block triangularization and block diagonalization of sets of matrices
Ahmad Y. Al-Dweik Ryad Ghanam Gerard Thompson M. T. Mustafa
2023, Volume 8, Issue 8: 19757-19772. doi: 10.3934/math.20231007
Abstract HTML PDF Viewed (1493)
Research article
Iterative methods to solve the constrained Sylvester equation
Siting Yu Jingjing Peng Zengao Tang Zhenyun Peng
2023, Volume 8, Issue 9: 21531-21553. doi: 10.3934/math.20231097
Abstract HTML PDF Cited (2) Viewed (1610)