Perturbation Analysis of the Nonlinear Matrix Equation <svg     style="vertical-align:-4.89413pt;width:204.9875px;" id="M1" height="25.112499" version="1.1" viewBox="0 0 204.9875 25.112499" width="204.9875"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
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</svg>

Relative condition number for Example <a href="https://static.hindawi.com/articles/aaa/volume-2013/979832/figures/#ex6.3">17</a> with different values of <svg height="12.4375" id="M329" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 8.6750002 12.4375" width="8.6750002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><path d="M480 416q0 -21 -18 -41q-9 -11 -17 -7q-20 9 -42 9q-62 0 -140 -78q23 -69 88 -192q17 -31 27 -42t20 -11q16 0 62 46l17 -20q-64 -92 -119 -92q-35 0 -70 66q-41 73 -84 187q-36 -30 -62 -61q-27 -115 -35 -172q-41 -8 -78 -20l-6 6l140 612q7 28 0.5 34t-37.5 7l-34 1
l5 26q38 4 74 13.5t57 17t25 7.5q12 0 4 -32l-104 -443h2q35 38 97 93q39 35 65.5 56t62 41.5t58.5 20.5q19 0 30.5 -10t11.5 -22z" id="x1D458"></path></g>
</svg>.

Abstract and Applied Analysis

tab4

Table 4

Table 4: Perturbation Analysis of the Nonlinear Matrix Equation <svg     style="vertical-align:-4.89413pt;width:204.9875px;" id="M1" height="25.112499" version="1.1" viewBox="0 0 204.9875 25.112499" width="204.9875"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
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l-110 215q-26 51 -44 63t-72 17l6 28h250l-6 -28l-27 -4q-30 -5 -35 -10t3 -27q17 -43 95 -190q70 78 154 185q15 21 10 29.5t-33 12.5l-30 4l5 28h236z" /></g><g transform="matrix(.022,-0,0,-.022,22.793,18.95)"><path id="x2212" d="M535 230h-483v50h483v-50z" /></g><g transform="matrix(.022,-0,0,-.022,40.927,18.95)"><path id="x2211" d="M697 -46l-42 -182h-602v25l325 457l-308 460v25h585l12 -154l-28 -5q-17 63 -39 88q-12 15 -36.5 20.5t-80.5 5.5h-277l268 -396l-311 -440h382q51 0 75.5 19.5t47.5 83.5z" /></g>

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