13. Consider minimizing the function $(x)=c+x+3x+ Hx, where c=(5.04, 59.4,146.4, 96.6)7 and .16 -1.2 2.4 -1.4 -1.2 12.0 -27.0 16.8 H= 2.4 -27.0 64.8 42.0 -1.4 16.8 42.0 28.0 Try both Newton and BFGS methods, starting from xo = (-1,3,3,0)". Explain why the BFGS method requires significantly more iterations than Newton's. 13. Consider minimizing the function $(x)=c+x+3x+ Hx, where c=(5.04, 59.4,146.4, 96.6)7 and .16 -1.2 2.4 -1.4 -1.2 12.0 -27.0 16.8 H= 2.4 -27.0 64.8 42.0 -1.4 16.8 42.0 28.0 Try both Newton and BFGS methods, starting from xo = (-1,3,3,0)". Explain why the BFGS method requires significantly more iterations than Newton's