IEEE

Extensions of the Cayley-Hamilton Theorem to Fractional Linear Systems

Abstract: The classical Cayley-Hamilton theorem is extended to fractional continuous-time linear systems. For single fractional order system the Cayley-Hamilton theorem is extended to basic continuous ...
IEEE

Generalization of Cayley-Hamilton theorem for n-D polynomial matrices

Abstract: The Cayley-Hamilton theorem is extended to real polynomial matrices in n variables. The known extensions of the classical Cayley-Hamilton theorem are particular cases of the proposed ...
GitHub

Cayley-Hamilton Theorem Verifier

This project implements an application that generates a random 3 × 3 matrix with entries from the finite field Z_5, computes its characteristic polynomial, determines its eigenvalues, and verifies the ...
Scientific Research Publishing

T. Kaczorek, “An Extension of the Cayley-Hamilton Theorem for a Standard Pair of Block Matrices,” Applied Mathematics and Computation Sciences, Vol. 8, No. 3, 1998, pp. 511 ...

ABSTRACT: It is proposed to generalize the concept of the famous classical Cayley-Hamilton theorem for square matrices wherein for any square matrix A, the det (A-xI) is replaced by det f(x) for ...
Visual Studio Magazine

Matrix Inverse Using Cayley-Hamilton with C#

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...