An effective recursive formula for the Frobenius covariants in matrix functions

Recursive Algorithm for the Fundamental/Group Inverse Matrix of a Markov Chain from an Explicit Formula

We present a new accurate algorithm (REFUND) for computing the fundamental matrix (or closely related group inverse matrix) of a finite regular Markov chain. This algorithm is developed within the framework of the State Reduction approach exemplified by the GTH (Grassmann, Taksar, Heyman)/Sheskin algorithm for recursively finding invariant measure. The first (reduction) stage of the GTH/S algor...

Matrix functions that preserve the strong Perron-Frobenius property

An explicit formula for the matrix logarithm

We present an explicit polynomial formula for evaluating the principal logarithm of all matrices lying on the line segment {I(1 − t) + At : t ∈ [0, 1]} joining the identity matrix I (at t = 0) to any real matrix A (at t = 1) having no eigenvalues on the closed negative real axis. This extends to the matrix logarithm the well known Putzer’s method for evaluating the matrix exponential. Key-words...

the search for the self in becketts theatre: waiting for godot and endgame

this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...

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...