  We give an overview of certain aspects of tractability analysis of
multivariate problems. This paper is not intended to give a complete account of
the subject, but provides an insight into how the theory works for particular
types of problems. We mainly focus on linear problems on Hilbert spaces, and
mostly allow arbitrary linear information. In such cases, tractability analysis
is closely linked to an analysis of the singular values of the operator under
consideration. We also highlight the more recent developments regarding
exponential and generalized tractability. The theoretical results are
illustrated by several examples throughout the article.
