A hybrid method based on the Segmentation technique, the Finite-Element met
hod, and a Matrix Lanczos-Pade algorithm (SFELP) for the analysis of microw
ave circuits is introduced in this paper. This method computes Symmetric ma
trix-Pade approximations of a matrix transfer function for any number of in
puts and outputs via a Lanczos-type process (SyMPVL) for obtaining the gene
ralized admittance matrix of a microwave circuit on a wide band of frequenc
ies. The formulation that provides the three-dimensional finite-element/seg
mentation method is suitable for applying the symmetric Fade via Lanczos al
gorithm, except for the frequency dependence Of the matrix of excitation ve
ctors, In this paper, this problem is analytically overcome for the case in
which excitation vectors correspond to modes of homogeneous waveguides or
transmission lines, The accuracy and efficiency of the proposed method are
shown by means of different examples.