An n × n complex matrix A is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix P if A = PAP (A = — PAP). The reflexive and anti-reflexive matrices have ...

We present a new multiplication concept of quaternion matrices, a new determinant concept, a new inverse concept of quaternion matrix and a new similar matrix concept. Under the new concept system, ...

When the equation AXB = C is consistent over the generalized reflexive (or anti-reflexive) matrix X, for any generalized reflexive (or anti-reflexive) initial iterative matrix X₁, the generalized ...

In particular, its relationship to the solution of the so-called Diophantine equation for polynomial matrices and the problem of the existence and computation of stabilizing controllers for linear ...

ABSTRACT: In this paper, the solution of the matrix second semi-tensor product equation A ∘ l X ∘ l B=C is studied. Firstly, the solvability of the matrix-vector second semi-tensor product equation is ...

Instead, through careful manipulation and formulation of equivalent equations, the codebase is geared towards utilising the matrix structure of the problem in solving the equations. Similar approaches ...

In this paper Recurrent neural networks for solving linear matrix equations are proposed. we give an overview of recent research into recurrent algorithms for the solution of linear matrix equations.