This is a preview. Log in through your library . Abstract An n × n complex matrix P is said to be a generalized reflection matrix if P* = P and P² = I (where P* is the conjugate transpose of P). An n ...

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 ...

Random matrix theory (RMT) has emerged as a powerful framework for analysing complex systems across physics, statistics and beyond, by examining the statistical properties of matrices with random ...