Asymptotics of the Perron eigenvalue and eigenvector using max-algebra

From Max-plus Algebra to Non-linear Perron-frobenius Theory

The max-plus (or tropical) algebra is obtained by replacing the addition by the maximisation (or the minimisation) and the multiplication by the addition. It arises in the dynamic programming approach to deterministic optimal control. In particular , the evolution semigroup of a first order Hamilton-Jacobi equation is linear in the max-plus sense if the Hamiltonian is convex in the adjoint vari...

on the relationship between using discourse markers and the quality of expository and argumentative academic writing of iranian english majors

the aim of the present study was to investigate the frequency and the type of discourse markers used in the argumentative and expository writings of iranian efl learners and the differences between these text features in the two essay genres. the study also aimed at examining the influence of the use of discourse markers on the participants’ writing quality. to this end the discourse markers us...

Eigenvalue and Eigenvector Analysis of Dynamic Systems

While several methods aimed at understanding the causes of model behavior have been proposed in recent years, formal model analysis remains an important and challenging area in system dynamics. This paper describes a mathematical method to incorporate eigenvectors to the more traditional eigenvalue analysis of dynamic models. The proposed method derives basic formulas that characterize how a ch...

On Some Eigenvector-Eigenvalue Relations

This paper generalizes the well-known identity which relates the last components of the eigenvectors of a symmetric matrix A to the eigenvalues of A and of the matrix An−1, obtained by deleting the last row and column of A. The generalizations relate to matrices and to Sturm–Liouville equations.

Computing the greatest X-eigenvector of a matrix in max-min algebra