The solution of soil-structure interaction problem was calculated in the frequency domain. Solution of large buildings requires much computer time. Calculating the modal amplitudes of the structure fixed at its base we have got the displacement vector of structural nodes using the displacement vector of interface nodes. In the case of large systems, calculation of all the eigenvectors is not possible, but a solution of an accuracy required for practical applications does not require the knowledge of all the components. On the basis of numerical experiments the number of the necessary eigenvectors is lower if we break the total displacement amplitudes of the structure into quasi-static displacements introduced by the base response and dynamic displacements of the structural nodes. For the solution we have to calculate the inverse of the large stiffness matrix of the structure fixed at its base. The inverse matrix was calculated using the eigenvectors of the structure fixed at its base. Using this algorithm the computer time can be reduced.

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