An Iterative Algorithm for the Generalized Reflexive Solution of the Matrix Equations <svg style="vertical-align:-0.0pt;width:66.037498px;" id="M1" height="10.55" version="1.1" viewBox="0 0 66.037498 10.55" width="66.037498" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(1.25,0,0,-1.25,0,10.55)"><g transform="translate(72,-63.56)"><text transform="matrix(1,0,0,-1,-71.95,63.61)"><tspan style="font-size: 12.50px; " x="0" y="0">𝐴</tspan><tspan style="font-size: 12.50px; " x="8.9646511" y="0">𝑋</tspan><tspan style="font-size: 12.50px; " x="18.842022" y="0">𝐵</tspan><tspan style="font-size: 12.50px; " x="31.007441" y="0">=</tspan><tspan style="font-size: 12.50px; " x="43.047829" y="0">𝐸</tspan></text></g></g></svg>, <svg style="vertical-align:-0.15048pt;width:66.612503px;" id="M2" height="10.6125" version="1.1" viewBox="0 0 66.612503 10.6125" width="66.612503" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(1.25,0,0,-1.25,0,10.6125)"><g transform="translate(72,-63.51)"><text transform="matrix(1,0,0,-1,-71.95,63.71)"><tspan style="font-size: 12.50px; " x="0" y="0">𝐶</tspan><tspan style="font-size: 12.50px; " x="8.389513" y="0">𝑋</tspan><tspan style="font-size: 12.50px; " x="18.266884" y="0">𝐷</tspan><tspan style="font-size: 12.50px; " x="31.607584" y="0">=</tspan><tspan style="font-size: 12.50px; " x="43.647972" y="0">𝐹</tspan></text></g></g></svg>

<table>The relative error of the solution and the residual for Example <a href="https://static.hindawi.com/articles/jam/volume-2012/492951/figures/#ex4.1">4.1</a> with <svg height="14.7875" id="M189" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 42.299999 14.7875" width="42.299999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.7875)">
<g transform="translate(72,-60.17)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑋</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.07,60.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
</text>
<text transform="matrix(1,0,0,-1,-55.11,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">≠</tspan>
<tspan style="font-size: 12.50px; " x="10.640053" y="0">𝟎</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Applied Mathematics

fig1

Figure 1

Figure 1: An Iterative Algorithm for the Generalized Reflexive Solution of the Matrix Equations <svg style="vertical-align:-0.0pt;width:66.037498px;" id="M1" height="10.55" version="1.1" viewBox="0 0 66.037498 10.55" width="66.037498" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(1.25,0,0,-1.25,0,10.55)"><g transform="translate(72,-63.56)"><text transform="matrix(1,0,0,-1,-71.95,63.61)"><tspan style="font-size: 12.50px; " x="0" y="0">𝐴</tspan><tspan style="font-size: 12.50px; " x="8.9646511" y="0">𝑋</tspan><tspan style="font-size: 12.50px; " x="18.842022" y="0">𝐵</tspan><tspan style="font-size: 12.50px; " x="31.007441" y="0">=</tspan><tspan style="font-size: 12.50px; " x="43.047829" y="0">𝐸</tspan></text></g></g></svg>, <svg style="vertical-align:-0.15048pt;width:66.612503px;" id="M2" height="10.6125" version="1.1" viewBox="0 0 66.612503 10.6125" width="66.612503" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(1.25,0,0,-1.25,0,10.6125)"><g transform="translate(72,-63.51)"><text transform="matrix(1,0,0,-1,-71.95,63.71)"><tspan style="font-size: 12.50px; " x="0" y="0">𝐶</tspan><tspan style="font-size: 12.50px; " x="8.389513" y="0">𝑋</tspan><tspan style="font-size: 12.50px; " x="18.266884" y="0">𝐷</tspan><tspan style="font-size: 12.50px; " x="31.607584" y="0">=</tspan><tspan style="font-size: 12.50px; " x="43.647972" y="0">𝐹</tspan></text></g></g></svg> 

Journal of Applied Mathematics

An Iterative Algorithm for the Generalized Reflexive Solution of the Matrix Equations 𝐴𝑋𝐵=𝐸, 𝐶𝑋𝐷=𝐹

Figure 1

An Iterative Algorithm for the Generalized Reflexive Solution of the Matrix Equations ,