# wood -- system derived from optimizing the Wood function

## Synopsis

• Usage:
wood(kk)
• Inputs:
• kk, a ring, the coefficient ring
• Outputs:
• a list, of the polynomials in the system

## Description

This system was solved in May 2020, using solveSystem in Macaulay2 v1.15 with an Intel(R) Core(TM) i5-5250U CPU at 1.60GHz.

There were 9 solutions found in 0.141 seconds (with a Bezout bound of 36).

Reference: "Testing unconstrained optimization software" by J.J. More, B.S. Garbow and K.E. Hilstrom (pages 17-41).

 i1 : wood(RR_53) 3 2 3 o1 = {200x - 200x x + x - 1, - 100x + 110.1x + 9.9x - 20, 180x - 1 1 2 1 1 2 4 3 ------------------------------------------------------------------------ 2 180x x + x - 1, - 90x + 9.9x + 100.1x - 20} 3 4 3 3 2 4 o1 : List

• "wood(Ring)"

## For the programmer

The object wood is .