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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…
Jun He
In this paper we study properties of H -singular values of a positive tensor and present an iterative algorithm for computing the largest H -singular value of the positive tensor. We prove that this method converges for any positive tensors.
Mohammad M. Tabanjeh
Newton ’ s iteration is a fundamental tool for numerical solutions of systems of equations. The well-known iteration rapidly refines a crude initial approximation X<sub>0</sub> to the inverse of a general nonsingular matrix. In this paper, we will extend and…
A. Mohammed, M. Balarabe
This paper presents an up-to-date review of the developments made in the field of rhotrix theory for a decade, starting from the year 2003, when the concept of rhotrix was introduced, up to the end of 2013. Over forty articles on rhotrix theory have been publ…
Ousmane Moussa Tessa, Maimouna Salou, Morou Amidou
In this paper, we combine Graeffe matrices with the classical numerical method of Dandelin-Graeffe to estimate bounds for the moduli of the zeros of polynomials. Furthermore, we give some examples showing significant gain for the convergence towards the polyn…
Hongxia Li
In this paper, it is proved that every nonlinear Jordan triple derivation on triangular algebra is an additive derivation.
Serife Büyükköse, Sehri Gülçiçek Eski
In this paper, we found the bounds of the extreme eigenvalues of normalized Laplacian matrices and signless Laplacian matrices by using their traces. In addition, we found the bounds for k-th eigenvalues of normalized Laplacian matrix and signless Laplacian m…
Shinji Miura
The essence of money circulation is that money continues to transfer among economic agents eternally. Based on this recognition, this paper shows a money circulation equation that calculates the quantities of expenditure, revenue, and the end money from the q…
Achiya Dax
Given a symmetric matrix X , we consider the problem of finding a low-rank positive approximant of X . That is, a symmetric positive semidefinite matrix, S , whose rank is smaller than a given positive integer, , which is nearest to X in a certain matrix norm…
Mongi Benhamadou
In this paper, we propose another version of the full orthogonalization method (FOM) for the resolution of linear system Ax = b, based on an extended definition of Sturm sequence in the calculation of the determinant of an upper hessenberg matrix in o(n 2 ).…
Shinji Miura
This paper reinterprets the economic input-output equation as a description of a realized situation without considering decision making. This paper uses the equation that the self-sufficiency rate is added to the Leontief type, and discusses its solvability.…
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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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