The Global Convergence of a Modified BFGS Method under Inexact Line Search for Nonconvex Functions

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">Algorithm</td><td class="align_center">CPUTime</td><td class="align_center">NI</td><td class="align_center">NFG</td></tr><tr><td class="align_left" colspan="4"><hr/></td></tr><tr><td class="align_left">BFGS</td><td class="align_center">62299.85938</td><td class="align_center">23833</td><td class="align_center">57444</td></tr><tr><td class="align_left">MBFGS</td><td class="align_center">60990.64063</td><td class="align_center">22357</td><td class="align_center">51370</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Numerical results for the total CPUTime, NI, and NFG.</div>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: The Global Convergence of a Modified BFGS Method under Inexact Line Search for Nonconvex Functions 