In this chapter we do violence to some problems to reveal their inner structure. The focus is on problems which, at first glance, may not seem to be of the continuous linear variety yet can be marshalled into that form with a handful of creative alterations. The key is to ensure a one-to-one correspondence between the original and the altered problems so that we can retrieve a solution to the original from a solution to the alteration.
The main reason for massaging problems in this way is that continuous linear solvers have become ...