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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…
Morteza Seddighin
In this paper we show that the author’s Two Nonzero Lemma (TNCL) can be applied to present a simple proof for a very useful equality which was first proved by Karl Gustafson in 1968. Gustafson used Hilbert space methods, including convexity of the Hilbert spa…
Chun’e Huang, Yan Song, Xiruo Wang
In this paper, we introduce the definition of L -fuzzy vector subspace, define its dimension by an L -fuzzy natural number. For a finite-dimensional L -fuzzy vector subspace, we prove that the equality holds without any restricted conditions. At the same time…
R. O. Akinola, S. Y. Kutchin, I. A. Nyam, O. Adeyanju
In an earlier paper published in the Journal of Natural Sciences Research in 2015 on how to balance chemical equations using matrix algebra, Gabriel and Onwuka showed how to reduce the resulting matrix to echelon form using elementary row operations. However,…
D. Krishnaswamy, Mohd Saleem Lone
In this paper, we obtain some new characterizations of the range symmetric matrices in the Minkowski Space M by using the Block representation of the matrices. These characterizations are used to establish some results on the partial ordering of the range sym…
M. R. Rajesh Kanna, R. Jagadeesh, 1 1
Randić energy was first defined in the paper [1]. Using minimum covering set, we have introduced the minimum covering Randić energy RE C ( G ) of a graph G in this paper. This paper contains computation of minimum covering Randić energies…
Alireza Ataei
In this paper, we propose DQMR algorithm for the Drazin-inverse solution of con sistent or inconsistent linear systems of the form Ax = b where is a singular and in general non-hermitian matrix that has an arbitrary index. DQMR algorithm for singular systems…
Hayk Avdalyan, Hakop Hakopian
There are several examples of spaces of univariate functions for which we have a characterization of all sets of knots which are poised for the interpolation problem. For the standard spaces of univariate polynomials, or spline functions the mentioned results…
Dandapany Krishnaswamy, Tasaduq Hussain Khan
Necessary and sufficient conditions for the existence of the group inverse of the block matrix in Minkowski Space are studied, where are both square and . The representation of this group inverse and some related additive results are also given.
Xuelin Zhou, Dandan Song, Qingle Yang, Jiaofen Li
In this paper, an iterative method is constructed to find the least-squares solutions of generalized Sylvester equation , where is real matrices group, and satisfies different linear constraint. By this iterative method, for any initial matrix group within a…
Tsutomu Matsuura, Saburou Saitoh
In this paper, a new viewpoint of the division by zero z /0 = 0 in matrices is introduced and the results will show that the division by zero is our elementary and fundamental mathematics. New and practical meanings for many mathematical and physical formulas…
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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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