IEEE

Ackermann’s Method: Revisited, Extended, and Generalized to Uncontrollabe Systems

Abstract: The celebrated method of Ackermann for eigenvalue assignment of single-input controllable systems is revisited in this paper, contributing an elegant proof. The new proof facilitates a ...
GitHub

A MATLAB program for computing a few eigenvalues and associated eigenvectors located anywhere in spectrum of a large sparse Hermitian matrix.

IRBLEIGS will find a few eigenvalues and eigenvectors for either the standard eigenvalue problem Ax = lambdax or the generalized eigenvalue problem Ax = lambdaM*x, where A is a sparse Hermitian matrix ...
GitHub

Find eigenvalues and associated eigenvectors.mat

% The characteristic equation for an 9x9 matrix to determine the 9 % eigenvalues is in general an nineth order polynomial. % By Abel's Impossibility Theorem : In general, polynomial equations higher ...
Scientific Research Publishing

Lehoucq, R.B., Sorensen, D.C. and Yang, C. (1998) ARPACK Users’ Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods. SIAM, Vol. 6.

ABSTRACT: In this article, the computation of μ-values known as Structured Singular Values SSV for the companion matrices is presented. The comparison of lower bounds with the well-known MATLAB ...
IEEE

Eigenvalues and their participation factors for the system of coupled adjacent microgrids

Abstract: Adjacent islanded microgrids may couple provisionally to support each other during emergencies such as overloading in one MG. Thus, a microgrid will observe a structural transformation, when ...
Scientific Research Publishing

A Subspace Iteration for Calculating a Cluster of Exterior Eigenvalues ()

In this paper we present a new subspace iteration for calculating a cluster of k exterior eigenvalues of a given symmetric matrix,. Other names for such eigenvalues are “peripheral eigenvalues” and ...