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New in Mathematica 9Enhanced Core Algorithms

Fast Solving of Triangular Systems of Polynomial Equations 

Shown are timings for finding all real solutions of , where and for k>1. The experiment was performed on an Intel Xeon 3.07 GHz 64-bit Linux system, with a time limit of 10000 seconds. The number at the bottom tells how many times faster Mathematica 9 is than Mathematica 8.