  The map-making step of Cosmic Microwave Background data analysis involves
linear inversion problems which cannot be performed by a brute force approach
for the large timelines of today. We present in this article optimal
vector-only map-making methods, which are an iterative COBE method, a Wiener
direct filter and a Wiener iterative method. We apply these methods on diverse
simulated data, and we show that they produce very well restored maps, by
removing nearly completely the correlated noise which appears as intense
stripes on the simply pixel-averaged maps. The COBE iterative method can be
applied to any signals, assuming the stationarity of the noise in the timeline.
The Wiener methods assume both the stationarity of the noise and the sky, which
is the case for CMB-only data. We apply the methods to Galactic signals too,
and test them on balloon-borne experiment strategies and on a satellite whole
sky survey.
