The G-matrices are derived on the basis of meson-theoretical hyperon-n
ucleon and hyperon-hyperon potentials from the Nijmegen group (model-D
, model-F, soft-core model) and the Julich group (version-A, version-B
). In order to make easy applications to hypernuclei, they are paramet
rized to express in terms of three-range Gaussian radial functions wit
h the density dependence being in the quadratic form of the Fermi mome
ntum. Through the structure calculations of Lambda-, Sigma-, Lambda La
mbda- and Xi-hypernuclei, properties of these G-matrix interactions ha
ve been investigated in the Lambda N, Sigma N, Lambda Lambda and Xi N
channels, respectively.