Linear matrix function is a new mathematical framework outlining an invertible linear transformation matrix that maps points from one abstract geometric space onto another, while preserving the ...

Vectors: Represent quantities with both magnitude and direction, often visualized as arrows. Matrices: Rectangular arrays of numbers used to represent linear transformations and systems of equations.

This book presents a resume of the Matrix Calculus and the methods of Resolutionof linear System with m equations and in n unknowns assuming values in R. This work follows after the courses of Linear ...

As the notation suggests, we can turn a system of linear equations into a matrix equation and study it using matrix methods.

Journal of Applied Probability, Vol. 27, No. 1 (Mar., 1990), pp. 156-170 (15 pages) Let Xt be a discrete-time multivariate stationary process possessing an infinite autoregressive representation and ...

Abstract: In this paper, we propose a new method for investigating the stability of discrete-time switched linear systems by means of linear algebra techniques. Exponential stability of such systems ...

Abstract: This work considers the design of fixed-order antiwindup compensators guaranteeing stability and a given level of L2 performance. The main results show how the design of such a compensator ...

The hierarchical modular functional structure in the human brain has not been adequately depicted by conventional functional magnetic resonance imaging (fMRI) acquisition techniques and traditional ...