A Parallel Splitting Augmented Lagrangian Method for Two-Block Separable Convex Programming with Application in Image Processing

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left">Algorithm</td><td class="align_center">Iteration</td><td class="align_center">CPU</td><td class="align_center">Rank</td><td class="align_center">Sparse</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">TY<svg height="5.32432pt" id="M245" style="vertical-align:-3.40072pt" version="1.1" viewbox="-0.0498162 -1.9236 6.17869 5.32432" width="6.17869pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0091,0,0,-0.0091,0,3.132)"><path d="M556 236V289H56V236H556Z"></path></g></svg>VASALM</td><td class="align_center">26</td><td class="align_center">290.5518</td><td class="align_center">58</td><td class="align_center">5941722</td></tr><tr><td class="align_left">HTY<svg height="5.32432pt" id="M246" style="vertical-align:-3.40072pt" version="1.1" viewbox="-0.0498162 -1.9236 6.17869 5.32432" width="6.17869pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0091,0,0,-0.0091,0,3.132)"><path d="M556 236V289H56V236H556Z"></path></g></svg>IMA</td><td class="align_center">20</td><td class="align_center">389.5898</td><td class="align_center">79</td><td class="align_center">8146712</td></tr><tr><td class="align_left">NEW<svg height="5.32432pt" id="M247" style="vertical-align:-3.40072pt" version="1.1" viewbox="-0.0498162 -1.9236 6.17869 5.32432" width="6.17869pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0091,0,0,-0.0091,0,3.132)"><path d="M556 236V289H56V236H556Z"></path></g></svg>PSALM</td><td class="align_center">17</td><td class="align_center">51.8672</td><td class="align_center">54</td><td class="align_center">4683149</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Numerical results generated by TY<svg height="5.32432pt" id="M242" style="vertical-align:-3.40072pt" version="1.1" viewbox="-0.0498162 -1.9236 6.17869 5.32432" width="6.17869pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0091,0,0,-0.0091,0,3.132)"><path d="M556 236V289H56V236H556Z"></path></g></svg>VASALM, HTY<svg height="5.32432pt" id="M243" style="vertical-align:-3.40072pt" version="1.1" viewbox="-0.0498162 -1.9236 6.17869 5.32432" width="6.17869pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0091,0,0,-0.0091,0,3.132)"><path d="M556 236V289H56V236H556Z"></path></g></svg>IMA, and NEW<svg height="5.32432pt" id="M244" style="vertical-align:-3.40072pt" version="1.1" viewbox="-0.0498162 -1.9236 6.17869 5.32432" width="6.17869pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0091,0,0,-0.0091,0,3.132)"><path d="M556 236V289H56V236H556Z"></path></g></svg>PSALM.</div>

Mathematical Problems in Engineering

tab2

Table 2

Table 2: A Parallel Splitting Augmented Lagrangian Method for Two-Block Separable Convex Programming with Application in Image Processing 