Rickati equations

The scalar, matrix and operator equations of Rickati are considered. Theoretical issues and practical methods for solving such equations are presented. The necessary auxiliary material from the algebra, functional analysis and theory of group theory is given. Theoretical issues are illustrated by the solution of numerous examples. The most fully presented material on the matrix equations of Rickati. For their analysis and practical solution, a specially designed apparatus of groups on matrices, as well as the computer algebra on the basis of the Maple system, is proposed. Theoretical issues on matrix and operator equations are presented on the basis of various applied tasks from mathematical physics and the theory of systems of systems with distributed parameters.
For scientists, teachers of universities and technical universities, graduate students and students of the corresponding specialties