Recently G. M. Fuller and X. Shi proposed that the gravitational collapse o
f supermassive objects (M greater than or similar to 10(4) M-.) could be a
cosmological source of c-ray bursts (GRBs). The major advantage of their mo
del is that supermassive object collapses are far more energetic than solar
mass-scale compact mergers. Also, in their proposal the seeds of supermass
ive black holes (SMBHs) thus formed could give rise to the SMBHs observed a
t the center of many galaxies. We argue here that, besides the generation o
f GRBs, there could well occur a strong generation of gravitational waves (
GWs) during the formation of SMBHs. As a result, the rate of such GW bursts
could be as high as the rate of GRBs in the model by G. M. Fuller and X. S
hi. In this case, the detection of GRBs and bursts of GWs should occur with
a small time difference. We also argue that the GWs produced by the SMBHs
studied here could be detected when the Laser Interferometric Space Antenna
becomes operative.