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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…
Mohammad Hasan Khani, Jalil Rashidinia, Sajjad Zia Borujeni
In this paper, we present homotopy analysis method (HAM) for solving system of linear equations and use of different H ( x ) in this method. The numerical results indicate that this method performs better than the homotopy perturbation method (HPM) for solvin…
Albert Iskhakov, Sergey Skovpen
A method is presented for calculating a matrix spectrum with a given set of eigenvalues. It can be used to build systems with different spectrums with the aim of choosing desired alternative. It enables a practical implementation of control algorithms without…
Yonghui Huang, Yi Huang
Based on the hybrid numerical method (HNM) combining with a reduced-basis method (RBM), the real-time transient response of a functionally graded material (FGM) plates is obtained. The large eigenvalue problem in wavenumber domain has been solved through real…
Dongjie Gao
A new inequality on the minimum eigenvalue for the Fan product of nonsingular M -matrices is given. In addition, a new inequality on the spectral radius of the Hadamard product of nonnegative matrices is also obtained. These inequalities can improve considera…
Achiya Dax
In this paper we present a new subspace iteration for calculating eigenvalues of symmetric matrices. The method is designed to compute a cluster of k exterior eigenvalues. For example, k eigenvalues with the largest absolute values, the k algebraically larges…
Yuwang Hu, Guiwei Li, Jun Wang
All tight monomials in quantum group for type A 5 with t ≤ 6 are determined in this paper.
Xue Pan, Mei Qin
This paper presents a new type of circulant matrices. We call it the first and the last difference r -circulant matrix ( FLDcirc r matrix). We can verify that the linear operation, the matrix product and the inverse matrix of this type of matrices are still F…
Raghuram Prasad Dasaradhi, V. V. Haragopal
In this article, we determine the Eigen values and Eigen vectors of a square matrix by a new approach. This considers all the roots with their multiplicities are known, using only the simple matrix multiplication of a vector. This process does not even requir…
Mohamed A. Ramadan, Mahmoud M. Abu Murad
One of the most important properties of M-matrices is element-wise non-negative of its inverse. In this paper, we consider element-wise perturbations of tridiagonal M-matrices and obtain bounds on the perturbations so that the non-negative inverse persists. T…
Shinji Miura
In a monetary economy, expenditure induces revenue for each agent. We call this the revenue induction phenomenon. Moreover, in a special case, part of the expenditure by an agent returns as their own revenue. We call this the expenditure reflux phenomenon. Al…
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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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