Eigenvalues and Singular Values of Complex Matrices

Abstract

Real matrices are matrices with elements of real numbers or functionsj they are often applied in the state-space approach of control systems, various regression techniques, convolution sums but also in some other topics related to the time domain, e.g. stability radius techniques. If design problems of multi variable systems are treated in the s-plane or in the frequency domain use is made of transfer matrices with entries of complex numbers and functions. To avoid confusion, symbols of a different kind are chosen in most cases, e.g., G for a complex matrix and A for areal one.