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<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Jed,<o:p></o:p></span></p>
<p><span style="font-size:11.0pt;font-family:Symbol;color:#1F497D">·</span><span style="font-size:7.0pt;color:#1F497D">
</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">A’x=b, where A’=[A^-1 U B]=
</span><o:p></o:p></p>
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<p class="MsoNormal">What does the notation above mean? <o:p></o:p></p>
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<p class="MsoListParagraph" style="text-indent:-.25in;mso-list:l0 level1 lfo1"><![if !supportLists]><span style="font-family:Wingdings"><span style="mso-list:Ignore">ü<span style="font:7.0pt "Times New Roman"">
</span></span></span><![endif]><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">That means A’ consists A^-1 and B. A’ is a
</span><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">sparse matrix at the order of 2 million. B = sparse matrix at the order of 2 million to be mixed and mingled with A^-1.</span><o:p></o:p></p>
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<p class="MsoNormal">What are the dimensions and sparsity of each piece. <o:p></o:p></p>
<p class="MsoListParagraph" style="text-indent:-.25in;mso-list:l0 level1 lfo1"><![if !supportLists]><span style="font-size:11.0pt;font-family:Wingdings;color:#1F497D"><span style="mso-list:Ignore">ü<span style="font:7.0pt "Times New Roman"">
</span></span></span><![endif]><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">The dimension of A^-1 is about 225,000. B is about 2 millions.
<o:p></o:p></span></p>
<p class="MsoListParagraph"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal">If you have an "inverse" floating around, what sort of operator is it the inverse of.<o:p></o:p></p>
<p class="MsoListParagraph" style="text-indent:-.25in;mso-list:l0 level1 lfo1"><![if !supportLists]><span style="font-size:11.0pt;font-family:Wingdings;color:#1F497D"><span style="mso-list:Ignore">ü<span style="font:7.0pt "Times New Roman"">
</span></span></span><![endif]><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">A is a double complex matrix we have generated from a practical application using FEM.
<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D">Jinquan<o:p></o:p></span></p>
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