Matrices are commonly used in machine learning and data science to represent data and its transformations. In this week, you will learn how matrices naturally arise from systems of equations and how ...

I am computing the solution of a linear system of equation Ax=B, where number of equations are equal to number of unknown and A and B are sparse matrices but A is a singular matrix. I've tried several ...

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, ...

The aim of the following paragraph is to demonstrate that the concept of the stochastic Lyapunov matrix equation is systematically derived from very basic system-theoretical principles, thereby ...

Because linear systems with ostensible Metzler matrices are not positive, even if their matrix parameters are non-negative, the main limitation to the solution is that the interval estimation only ...

For solving linear systems Ax = b, different preconditioned SOR methods have been proposed by many authors. In this paper, a preconditioned AOR iterative method is presented with a new preconditioner, ...

The solution of the some linear matrix equation over Hermitian self unitary similar matrices is studied. We are concerned the necessary and sufficient conditions for the existence of the solution, are ...

A comprehensive theory of the matrix linear equation AX + XB = C is presented. The equation is viewed as a vector equation LX = C in the vector space of all m × n matrices. As the main result, two ...

Bradley W. Dickinson, Solution of Linear Equations with Rational Toeplitz Matrices, Mathematics of Computation, Vol. 34, No. 149 (Jan., 1980), pp. 227-233 ...