Finding the characteristic polynomial of a matrix is a fundamental task in linear algebra, with applications ranging from determining eigenvalues and eigenvectors to analyzing the stability of systems ...

The second path matrix S(G) collects all the second paths in the graph G. Its characteristic polynomial shows some regularity in several particular graphs, such as paths, cycles, stars and complete ...

Abstract: This paper presents an algorithm to determine PID controller tuning regions that guarantee the stability of closed-loop control systems using the pole placement method, assigning a known ...

Abstract: In the paper the application of Monte Carlo approach for random search algorithms to finding a pair of conjugated roots of a characteristic polynomial (ChP) is presented. The proposed ...