Computing an eigenvector of an inverse Monge matrix in max–plus algebra

Computing an Eigenvector with Inverse Iteration

The purpose of this paper is two-fold: to analyze the behavior of inverse iteration for computing a single eigenvector of a complex square matrix and to review Jim Wilkinson’s contributions to the development of the method. In the process we derive several new results regarding the convergence of inverse iteration in exact arithmetic. In the case of normal matrices we show that residual norms d...

development and implementation of an optimized control strategy for induction machine in an electric vehicle

in the area of automotive engineering there is a tendency to more electrification of power train. in this work control of an induction machine for the application of electric vehicle is investigated. through the changing operating point of the machine, adapting the rotor magnetization current seems to be useful to increase the machines efficiency. in the literature there are many approaches wh...

On Computing an Eigenvector of a Tridiagonal Matrix

We consider the solution of the homogeneous equation J I x where J is a tridiagonal matrix is a known eigenvalue and x is the unknown eigenvector corresponding to Since the system is under determined x could be obtained by setting xk and solving for the rest of the elements of x This method is not entirely new and it can be traced back to the times of Cauchy In Wilkinson demonstrated that in ni...

An Inverse Matrix Formula in the Right-Quantum Algebra

The right-quantum algebra was introduced recently by Garoufalidis, Lê and Zeilberger in their quantum generalization of the MacMahon master theorem. A bijective proof of this identity due to Konvalinka and Pak, and also the recent proof of the right-quantum Sylvester’s determinant identity, make heavy use of a bijection related to the first fundamental transformation on words introduced by Foat...

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