A method of solution of the eigenproblems of large structural systems in an arbitrarily specified range

Presented is a method of calculation of all eigenvalues and corresponding eigenvectors of the eigenproblem AU = BUΛ in an arbitrarily specified range of the eigenspectrum for real symmetric matrices A and B of high rank. A version of the method of subspace iterations was elaborated, two new concepts including: 1. an extension of the symmetric version of the well known simultaneous vector iteration (SVI) method to an arbitrary domain of the eigenspectrum, 2. application of the Chebychev acceleration in a non-classical way, that is in the direct form of the product of subsequent linear terms instead of the recurrence formula being in common use. A computer program in the FORTRAN IV code for was worked out and various engineering examples (vibrations of structures) were solved. (orig.)