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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…
Ali Kareem, Hajar Sulaiman, Abdul-Rahman Hameed Majeed
Let M be a 2-torsion free semiprime G -ring with involution satisfying the condition that ( and ). In this paper, we will prove that if a non-zero Jordan G * -derivation d on M satisfies for all and , then .
Hasan Gökbaş, Ramazan Türkmen
Let us define to be a r -Toeplitz matrix. The entries in the first row of are or ;where F n and L n denote the usual Fibonacci and Lucas numbers, respectively. We obtained some bounds for the spectral norm of these matrices.
Amir Sadeghi
It is well known that the matrix equations play a significant role in engineering and applicable sciences. In this research article, a new modification of the homotopy perturbation method (HPM) will be proposed to obtain the approximated solution of the matri…
Deva Michelle Bouaboté Ntoumba
In this paper, we denote by A a commutative and unitary algebra over a commutative field K of characteristic 0 and r an integer ≥1. We define the notion of r -Jacobi algebra A and we construct the canonical form associated with the r -Jacobi algebra A .
Raghuram Prasad Dasaradhi, V. V. Haragopal
In this paper, we established a connection between a square matrix “ A ” of order “n” and a matrix defined through a new approach of the recursion relation . (where is any column matrix with n real elements). Now the new matrix gives us a characteristic equat…
Chunmei Li, Xuefeng Duan, Zhuling Jiang
Dykstra’s alternating projection algorithm was proposed to treat the problem of finding the projection of a given point onto the intersection of some closed convex sets. In this paper, we first apply Dykstra’s alternating projection algorithm to compute the o…
Hugo Leiva
In this paper, we find two formulas for the solutions of the following linear equation , where is a real matrix. This system has been well studied since the 1970s. It is known and simple proven that there is a solution for all if, and only if, the rows of A a…
Jagdish Pahade, Manoj Jha
The purpose of this paper is to discuss the theorems for the trace of any positive integer power of 2 × 2 real matrix. We obtain a new formula to compute trace of any positive integer power of 2 × 2 real matrix A , in the terms of Trace of A (Tr A ) and Deter…
Mohamed A. Ramadan, Mahmoud M. Abu Murad
In this paper, we construct one of the forms of totally positive Toeplitz matrices from upper or lower bidiagonal totally nonnegative matrix. In addition, some properties related to this matrix involving its factorization are presented.
Khalid Amin
We study decomposition of finite Abelian groups into subsets and show by examples a negative answer to the question of whether Hajós-property is inherited by direct product of groups which have Haj ó s-property.
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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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