We present the results from several studies used to search for astrophysical sources of high-energy neutrinos using the Super-Kamiokande-I (April 1996 to July 2001) neutrino-induced upward-going muon data. The data set consists of 2359 events with minimum energy 1.6 GeV, of which 1892 are through-going and 467 stop within the detector. The results of several independent analyses are presented, including searches for point sources using directional and temporal information and a search for signatures of cosmic-ray interactions with the interstellar medium in the upward-going muons. No statistically significant evidence for point sources or any diffuse flux from the plane of the galaxy was found, so spec ific limits on fluxes from likely point sources are calculated. The 90% C.L. upper limits on upward-going muon fl ux from astronomical sources which are located in the southern hemisphere and always under the horizon for Super-Kamiokande are(1 � 4)×10−15cm−2s−1.
