线性和多线性代数发表了高质量的原创研究论文，推动了线性和多线性代数的研究，或者包括线性和多线性代数在数学和科学的其他分支中的新应用。线性和多线性代数还出版线性和多线性代数研究人员感兴趣的研究问题、调查文章和书评。适当的领域包括但不限于：域或环上的空间张量代数非负矩阵线性代数中的不等式组合矩阵理论数值线性代数表示理论李理论不变理论和算子理论线性和多线性代数的受众包括工业和学术数学家。

The journal "Linear and Multilinear Algebra" publishes high-quality original research papers aimed at advancing the study of linear and multilinear algebra, or exploring new applications of linear and multilinear algebra in mathematics and other scientific fields. Additionally, the journal features research questions, survey articles, and book reviews of interest to researchers in linear and multilinear algebra. Relevant areas include, but are not limited to: spaces over fields or rings, tensor algebra, non-negative matrices, inequalities in linear algebra, combinatorial matrix theory, numerical linear algebra, representation theory, Lie theory, invariant theory, and operator theory. The audience for this journal includes mathematicians from both industry and academia.

《Linear and Multilinear Algebra》期刊发表高质量的原创研究论文，旨在推动线性和多线性代数的研究，或探讨线性和多线性代数在数学及其他科学领域中的新应用。此外，期刊还刊登与线性和多线性代数相关的研究问题、调查文章和书评。适合的研究领域包括但不限于：域或环上的空间、张量代数、非负矩阵、线性代数中的不等式、组合矩阵理论、数值线性代数、表示理论、李理论、不变理论和算子理论。该期刊的受众包括工业界和学术界的数学家。

Linear and Multilinear Algebra

It is known that a quaternionic matrix has one, two or an infinite number of left eigenvalues, but the available algebraic proofs are difficult to generalize to higher orders. In this paper, a different point of view is adopted by computing the topological degree of a characteristic map associated to the matrix and discussing the rank of the differential. The same techniques are extended to matrices, which are still lacking a complete classification.

E. Macías-Virgós

M.J. Pereira-Sáez

A topological approach to left eigenvalues of quaternionic matrices

The aim of this article is to discuss -Jordan Lie triple systems, which are a generalization of Lie triple systems. Cohomological characterizations of -Jordan Lie triple systems are established, then deformations, Nijenhuis operators, Abelian extensions and -extensions of -Jordan Lie triple systems are studied using cohomology.

Lili Ma

Liangyun Chen

On -Jordan Lie triple systems

关于-Jordan李三系

The aim of this paper is to study the q-numerical radius ωq(.) of bounded linear operators on Hilbert spaces. More precisely, first, we show that ωq(.) defines a norm which is equivalent to the operator norm. Next, the following compatible generalization of Kittaneh's inequality 14(q2−q2)2∥T∗T+TT∗∥≤ωq2(T)≤(q+21−q2)22×‖T∗T+TT∗‖.is obtained. Finally, some generalizations of q-numerical radius inequalities for composition of operators are established.

Sadaf Fakhri Moghaddam

Alireza Kamel Mirmostafaee

Mohammad Janfada

<i>q</i> -Numerical radius inequalities for Hilbert space

q-数值半径不等式在希尔伯特空间中的应用

Vadym Koval

Patryk Pagacz

On singular pencils with commuting coefficients

关于系数可交换的奇异束

In this paper, we give a number of mixed singular value and phase majorization inequalities for a class of accretive matrices. The first group of inequalities is for a single matrix, the second group is for sums of matrices, and the third group is for matrix operations induced by network connections. The results in this paper provide improvements to some existing related inequalities.

Yuwen Liu

Li Qiu

Mixed singular value and phase majorization inequalities for accretive matrices

 accretive 矩阵的混合奇异值和相位主化不等式

Sk. Safique Ahmad

Neha Bhadala

L-structure least squares solutions of generalized reduced biquaternion matrix equations with applications

广义简化双四元数矩阵方程的L-结构最小二乘解及其应用

In this paper, we present a Kantorovich type inequality for positive matrices by using the properties of positive linear functionals on matrices. Based on these, we provide some generalized forms of discrete Kantorovich inequality and some inequalities for spectral radius, numerical radius and spectral norm of the product of positive matrices.

Zhengwei Xie

Jianzhong Liu

Meiming Zhang

A Kantorovich type inequality for positive matrices

关于正矩阵的Kantorovich型不等式

Perfect colourings (equitable partitions) of graphs are extensively studied, while the same concept for hypergraphs attracts much less attention. The aim of this paper is to develop basic notions and properties of perfect colourings for hypergraphs. Firstly, we introduce a multidimensional matrix equation for perfect colourings of hypergraphs and compare this definition with a standard approach based on the incidence graph. Next, we show that the eigenvalues of the parameter matrix of a perfect colouring are eigenvalues of the multidimensional adjacency matrix of a hypergraph. We consider coverings of hypergraphs as a special case of perfect colourings and prove a theorem on the existence of a common covering of two hypergraphs. As an example, we show that a k-transversal in a hypergraph corresponds to a perfect colouring and calculate its parameters. At last, we find all perfect 2-colourings of the Fano's plane hypergraph and compute some eigenvalues of this hypergraph.

Abbreviation	Linear Multilinear Algebra
Journal Impact	0.96
Quartiles(Global)	MATHEMATICS(Q2)

ISSN	0308-1087, 1026-7573, 1563-5139
h-index	47

Publication Information	Publisher: Taylor and Francis Ltd.，Publishing cycle: Bimonthly，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 1973，Proportion of original research papers: 100.00%，Self Citation Rate:11.10%， Gold OA Rate: 3.03%
Average review cycle	网友分享经验：偏慢,4-8周
Average recruitment ratio	网友分享经验：容易

Linear and Multilinear Algebra

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A topological approach to left eigenvalues of quaternionic matrices

On -Jordan Lie triple systems

q -Numerical radius inequalities for Hilbert space

On singular pencils with commuting coefficients

Mixed singular value and phase majorization inequalities for accretive matrices

Mixed singular value and phase majorization inequalities for accretive matrices

On singular pencils with commuting coefficients

L-structure least squares solutions of generalized reduced biquaternion matrix equations with applications

A Kantorovich type inequality for positive matrices

Perfect colourings of hypergraphs