How to cross-compile programs for the Raspberry Pi with gcc?

Using a combination of poking around in the apt repositories and the extremely excellent Building Embedded Linux Systems (2nd edition, 2008, O'Reilly), I found this:

arm-linux-gnueabi-gcc

That is both the name of command and the package that you install to acquire it. Once invoked, it acts exactly as "vanilla" gcc, with the only exception that it builds packages for the ARM architecture (or a subset including the BCM2835, at least). Building Embedded Linux Systems (pg 93-94) explains that the names used for invoking the GNU tools in a cross-compilation manner follows this format:

cpu-kernel-manufactuer-os

The -gcc at the end of the topmost example is the component, used for specifing which part of binutils you want to use. It can be swapped out for another GNU toolchain component, such as ld (linker) or as (assembler). For arm-linux-gnueabi-gcc, arm is the architecture, linux is the kernel, gnueabi is the os, and gcc is the component. Where is the manufacturer? Apparently, the manufacturer can be specified as "unknown", as it rarely makes a difference, or left out alltogether (including it would make arm-linux-unknown-gnueabi-gcc).