A Generalized Regula Falsi Method for Finding Zeros and Extrema of Real Functions

<div class="floats-full-page floats-full-page-other"><h2>Table 1</h2><div class="floats-full-page-caption">Experimental convergence results for zeros using GRF and mGRF methods.</div><div class="floats-full-page-content"><table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="7"><hr /></td></tr><tr><td align="left">Function  </td><td align="center"><span style="width: 17.375px;"><svg height="17.262501" id="M248" style="vertical-align:-4.0404pt" version="1.1" viewbox="0 0 17.375 17.262501" width="17.375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,10.975,17.2)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg></span></td><td align="center"><span style="width: 17.375px;"><svg height="17.262501" id="M249" style="vertical-align:-4.0404pt" version="1.1" viewbox="0 0 17.375 17.262501" width="17.375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,10.975,17.2)"><path d="M137 343l67 33q37 17 63 17q79 0 129.5 -53t50.5 -131q0 -92 -58 -156.5t-147 -64.5t-147 68t-58 182q0 63 17 119t43 95.5t61.5 72t69 52t67.5 31.5q62 22 128 33l6 -32q-56 -11 -108 -35q-149 -71 -184 -231zM227 337q-47 0 -95 -27q-6 -23 -6 -70q0 -93 36 -155.5&#10;t96 -62.5q53 0 78 45.5t25 105.5q0 68 -35 116t-99 48z" id="x36"></path></g>
</svg></span></td></tr><tr><td align="left">Estimate  type </td><td align="center"> cZ </td><td align="center">—</td><td align="center"> cZ </td><td align="center"> cZ </td><td align="center"> cZ </td><td align="center">—</td></tr><tr><td align="left"> Interval   </td><td align="center"><span style="width: 58.950001px;"><svg height="14.85" id="M254" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 58.950001 14.85" width="58.950001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center">—</td><td align="center"><span style="width: 68.925003px;"><svg height="14.85" id="M255" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 68.925003 14.85" width="68.925003" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center">—</td></tr><tr><td align="left" colspan="7"><hr /></td></tr><tr><td align="left">  GRF iterations </td><td align="center"> 11 </td><td align="center">—</td><td align="center"> 19 </td><td align="center"> 222 </td><td align="center"> 999 </td><td align="center">—</td></tr><tr><td align="left">mGRF iterations </td><td align="center"> 4 </td><td align="center">—</td><td align="center"> 5 </td><td align="center"> 9 </td><td align="center"> 15 </td><td align="center">—</td></tr><tr class="table-tr"><td colspan="7"><hr class="tbody-hr" /></td></tr></table></td></tr></table></div></div>

Table 1 | A Generalized Regula Falsi Method for Finding Zeros and Extrema of Real Functions

title

Table 1: A Generalized Regula Falsi Method for Finding Zeros and Extrema of Real Functions

description

Table 1

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