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Advances in Linear Algebra & Matrix Theory (ALAMT) is an openly accessible journal published quarterly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of Linear Algebra. All the m…
Jean-Francois Niglio
In this article, we start by a review of the circle group [1] and its topology induced [1] by the quotient metric, which we later use to define a topological structure on the unit circle . Using points on under the complex exponential map, we can construct or…
Hsin-Chu Chen
Generalize reflexive matrices are a special class of matrices that have the relation where and are some generalized reflection matrices. The nontrivial cases ( or ) of this class of matrices occur very often in many scientific and engineering applications. Th…
Yi Sun, Haibin Zhang, Chaoqian Li
The class of generalized α-matrices is presented by Cvetković, L. (2006), and proved to be a subclass of H -matrices. In this paper, we present a new class of matrices-generalized irreducible α-matrices, and prove that a generalized irreducible α-matrix is an…
Mohamed Saleh Metwally, Mahmoud Tawfik Mohamed, Ayman Shehata, 1 1
The aim of this paper deals with the study of the Horn matrix function of two complex variables. The convergent properties, an integral representation of H 2 (A,A′,B,B′;C;z,w) is obtained and recurrence matrix relations are given. Some result when operating o…
Maged G. Bin-Saad, M. A. Pathan
The main purpose of this paper is to introduce the matrix extension of the pseudo Laguerre matrix polynomials and to explore the formal properties of the operational rules and the principle of quasi-monomiality to derive a number of properties for pseudo Lagu…
Günter Johannes Goerigk
Synchrotron radiation based experimental techniques known as Anomalous Small-Angle X-ray Scattering (ASAXS) provide deep insight into the nanostructure of uncountable material systems in condensed matter research i.e. solid state physics, chemistry, engineeri…
Şerife Büyükköse, Nurşah Mutlu, Gülistan Kaya Gök
A weighted graph is a graph that has a numeric label associated with each edge, called the weight of edge. In many applications, the edge weights are usually represented by nonnegative integers or square matrices. The weighted signless Laplacian matrix of a w…
Morteza Seddighin
We will extend some of the Kantorovich-Type inequalities for positive finite dimensional matrices to infinite dimensional normal operators by applying The Two-Nonzero Component Lemma and converting them to an An-tieigenvalue-Type problem.
Zhensong Ni, Ruikun Wu
This article proposes a new algorithm of quaternion and dual quaternion in matrix form. It applies quaternion in special cases of rotated plane, transforming the sine and cosine of the rotation angle into matrix form, then exporting flat quaternions base in t…
Zerong Lin, Dongzhe Liu, Xueying Liu, Lingling He, Changqing Xu
In this paper, we first study the linear regression model and obtain a norm-minimized estimator of the parameter vector by using the g-inverse and the singular value decomposition of matrix X . We then investigate the growth curve model (GCM) and extend the G…
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Advances in Linear Algebra & Matrix Theory (ALAMT) is an openly accessible journal published quarterly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of Linear Algebra. All the m… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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