A fast method for computing eigenvalues of a structural matrix with interval parameters
Jianjun Chen · Zhendong yu chongji · 2009
In order to increase computational efficiency of interval eigenvalues,the monotone property of design parameters of a structural matrix was studied firstly.Then a fast methodology for calculating the eigenvalues of the structural matrix with interval parameters was put forward,which was based on the Rayleigh quotient and the theories of the interval mathematics.It is shown that as the deviation of the interval factors of the design parameters are similar and close to unity,the computational error of the fast methodology are determined by the dispersion between the interval factors;and the error comes up to zero if all the interval factors are equal.Finally,two numerical examples were given,they proved that the presented method is more feasible and efficient than the global optimization algorithm and the interval stepped dividing method.