A Descent Dai-Liao Conjugate Gradient Method Based on a Modified Secant Equation and Its Global Convergence

<table>Performance profiles of CG-DESCENT, <svg height="18.075001" id="M261" style="vertical-align:-4.58821pt" version="1.1" viewbox="0 0 42.962502 18.075001" width="42.962502" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="11.115167" y="0">D</tspan>
<tspan style="font-size: 12.50px; " x="20.142332" y="0">L</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">+</tspan>
<tspan style="font-size: 8.75px; " x="0" y="9.5699997">1</tspan>
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</svg>, <svg height="18.075001" id="M262" style="vertical-align:-4.58821pt" version="1.1" viewbox="0 0 42.962502 18.075001" width="42.962502" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">M</tspan>
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<tspan style="font-size: 12.50px; " x="20.142332" y="0">L</tspan>
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<text transform="matrix(1,0,0,-1,-44.17,67.16)">
<tspan style="font-size: 8.75px; " x="0" y="0">+</tspan>
<tspan style="font-size: 8.75px; " x="0" y="9.5699997">2</tspan>
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</svg> and <svg height="18.237499" id="M263" style="vertical-align:-4.7111pt" version="1.1" viewbox="0 0 42.962502 18.237499" width="42.962502" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">M</tspan>
<tspan style="font-size: 12.50px; " x="11.115167" y="0">D</tspan>
<tspan style="font-size: 12.50px; " x="20.142332" y="0">L</tspan>
</text>
<text transform="matrix(1,0,0,-1,-44.17,67.16)">
<tspan style="font-size: 8.75px; " x="0" y="0">+</tspan>
<tspan style="font-size: 8.75px; " x="0" y="9.5699997">3</tspan>
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International Scholarly Research Notices

fig5

Figure 5

Figure 5: A Descent Dai-Liao Conjugate Gradient Method Based on a Modified Secant Equation and Its Global Convergence 