Algorithm for solution of nonsymmetric generalized problem of eigenvalues

The solving of electrodynamic problems, appearing when developing accelerating structures results in algebraic eigenvalue problem. The same problems arise when solving bound states in elementary particle physics. A method to solve asymmetric generalized algebraic eigenvalue problem AX=BX Λ, based on the use of B-orthonormal basis, is suggested. The program realizing the method is presented. The method possibilities are demostrated for a number of examples