Eigenproperties of large-scale structures by finite element partitioning and homotopy continuation. A homotopy equation is constructed and its solutions are characterized by a number of curves which connect the eigensolutions of the partitions with those of the complete system. At each step, prediction and correction are performed. The Rayleigh-Ritz procedure and the conjugate gradient method are used as predictor and corrector, respectively.
Numerical implementation is well suited for supercomputers.