Taiwanese Journal of Mathematics, Vol. 10, No. 5 (September 2006), pp. 1329-1344 (16 pages) Consider the nonlinear matrix equation X + A* X⁻² A = I, where A is an n × n complex matrix, I the identity ...

Abstract: The polynomial Diophantine matrix equation and the generalized Sylvester matrix equation are important for controller design in frequency domain linear system theory and time domain linear ...

Matrix algebra serves as a fundamental tool in linear algebra, allowing manipulation and analysis of matrices, which represent linear transformations between vector spaces. This powerful branch of ...

1 Department of Environmental Health Science, University of Eswatini, Mbabane, Eswatini. 2 Department of Chemistry, University of Eswatini, Kwaluseni, Eswatini. Systems of linear equations or ...

The equation of motion of a discrete linear system has the form of a second-order ordinary differential equation with three real and square coefficient matrices. It is shown that, for almost all ...

In this paper, the matrix Riccati equation is considered. There is no general way for solving the matrix Riccati equation despite the many fields to which it applies. While scalar Riccati equation has ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

Abstract: This paper introduces a conversion matrix method for linear periodically time-variant (LPTV) digital phase-locked loop (DPLL) phase noise modeling that offers precise and computationally ...