On the construction of physical systems from spectral data
R. Z. Zimoch · Communications in Applied Numerical Methods · 1990
Abstract This paper presents an algorithm for the solution of the inverse problem for a matrix differential equation of the form Aẍ + Bẋ + Cx = 0. In the method use is made of the Taylor formula for a matrix function of many variables. It is shown that the algorithm is always convergent. The paper includes a description of the appropriate algorithms and numerical examples.