Constraint Consensus Methods for Finding Interior Feasible Points in Second-Order Cones

<table>The gradient vector field of <svg height="16.6625" id="M202" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 32.299999 16.6625" width="32.299999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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q0 16 13.5 31.5t28.5 15.5q12 0 17 -11q5 -10 25 -10q22 0 57.5 36t89.5 111l-40 108q-22 58 -36 58q-21 0 -67 -57l-19 20q81 107 125 107q17 0 30 -22t39 -88l22 -55q68 92 108.5 128.5t74.5 36.5q20 0 32.5 -14t12.5 -30z" id="x1D465"></path></g><g transform="matrix(.017,-0,0,-.017,26.36,12.162)"><path d="M275 270q0 -296 -211 -440l-19 23q75 62 116.5 174t41.5 243t-42 243t-116 173l19 24q211 -144 211 -440z" id="x29"></path></g>
</svg> for cone (1) of Example <a href="https://static-preview.hindawi.com/articles/jam/volume-2010/307209/figures/#ex1">2.1</a>.</table>

Journal of Applied Mathematics

fig5

Figure 5

Figure 5: Constraint Consensus Methods for Finding Interior Feasible Points in Second-Order Cones 