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 ...

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 affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the literature of a ...

The classical method of least-squares estimation of the coefficients α in the (matrix) equation y = Zα + e yields estimators α̂ = Ay = + Ae. This method, however, employs only one of a class of ...

This paper presents an adaptive model predictive control for a class of switched linear stochastic systems with unknown system matrices. The proposed adaptive MPC is designed by solving a finite ...

This paper studies the spectral properties of two important graph matrices in the literature, known as the leader-follower matrices. These two matrices arise from various cooperative control problems ...

Article citations More>> M. D. Choi, “Completely Positive Linear Maps on Complex Matrices,” Linear Algebra and Its Applications, Vol. 10, No. 3, 1975, pp. 285-290. HHUdoi:10.1016/0024-3795 ...