# refine(SDP,Sequence) -- refine an SDP solution

## Description

This function uses Newton's method to improve the precision of an optimal primal/dual pair. The refined solution has relative error bounded by min(ErrorTolerance,2(-Bits)). The number of iterations made is at most Iterations.

 i1 : P = sdp(matrix{{1,0},{0,2}}, matrix{{0,1},{1,0}}, matrix{{-1}}); i2 : (X0,y0) = (matrix{{.71, -.5}, {-.5, .35}}, matrix{{-1.41}}) o2 = (| .71 -.5 |, | -1.41 |) | -.5 .35 | o2 : Sequence i3 : (X1,y1) = refine(P,(X0,y0)) o3 = (| .707107 -.5 |, | -1.41421 |) | -.5 .353553 | o3 : Sequence