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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…
Hugo Leiva, Raúl Manzanilla
In this paper, we study the existence of solutions for the semilinear equation , where A is a , , and is a nonlinear continuous function. Assuming that the Moore-Penrose inverse A T ( AA T ) -1 exists ( A denotes the transposed matrix of A ) which is true whe…
Zhudeng Wang, Qing Wang, Nan Qin
A matrix is similar to Jordan canonical form over the complex field and the rational canonical form over a number field, respectively. In this paper, we further study the rational canonical form of a matrix over any number field. We firstly discuss the elemen…
Yuwang Hu, Jifang Hu, Qiongru Wu
All monomials with t-value ≤9 in Canonical basis of quantum group for type D 4 are determined in this paper.
Prema R. Balasubramani
Short Retraction Notice The paper does not meet the standards of "Advances in Linear Algebra & Matrix Theory". This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows COPE's Retraction Guidelines…
Dongjie Gao
Consider the nonlinear matrix equation X - A*X p A - B*X -q B = I (0< p , q< 1). By using the fixed point theorem for mixed monotone operator in a normal cone, we prove that the equation with 0< p , q< 1 always has the unique positive definite solution. Two d…
Jun He, Yanmin Liu, Junkang Tian, Xianghu Liu
In this paper, we give a note on the eigenvalue localization sets for tensors. We show that these sets are tighter than those provided by Li et al . (2014) [1] .
Farid O. Farid
We study the relations between several classes of matrices with variants of the diagonal dominance property, and identify those classes which form pairs of incomparable classes. For an incomparable pair ( X 1 , X 2 ) of classes of matrices with variants of th…
Wasim Audeh
The well-known arithmetic-geometric mean inequality for singular values, due to Bhatia and Kittaneh, is one of the most important singular value inequalities for compact operators. The purpose of this study is to give new singular value inequalities for compa…
Achiya Dax
In this paper we present a new type of Restarted Krylov methods for calculating peripheral eigenvalues of symmetric matrices. The new framework avoids the Lanczos tridiagonalization process, and the use of polynomial filtering. This simplifies the restarting…
Phil D. Young, Dean M. Young, Marsha M. Young
We derive necessary and sufficient conditions for the existence of a Hermitian nonnegative-definite solution to the matrix equation AXB = C . Moreover, we derive a representation of a general Hermitian nonnegative-definite solution. We then apply our solution…
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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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