can i compile sage with the Intel's compilers?

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Nobody has ever built Sage with anything but GCC, though many people have tried.

It's conceivable that maybe the C code generated by Cython in the Sage library could be built with a different C compiler. However, since you'll be linking it with a bunch of code built using GCC, you'll be asking for trouble. I can't imagine that it would "just work". It couldn't hurt too much for you to try though.

I think David Kirkby has explored building Sage with the Sun Studio compiler. You can perhaps find out more by inquiring on sage-solaris or sage-devel.

GAP, a Sage component, won't correctly build on ia64 using icc-10. Something goes wrong with the garbage collection. (OK, ia64 is weird, though)