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Edit File: _bertiniParameterHomotopy.html

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    <title>bertiniParameterHomotopy -- a main method to perform a parameter homotopy in Bertini</title>
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o6 = {{{11.3376-.56228*ii, 1}, {11.3376+.56228*ii, 1}, {13.3247, 1}}, {{11,
     ------------------------------------------------------------------------
     2}, {12, 2}, {13, 2}}}

o6 : List</code></pre>
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              <pre><code class="language-macaulay2">i7 : bPH_0--the solutions to the system with parameters set equal to paramValues0

o7 = {{11.3376-.56228*ii, 1}, {11.3376+.56228*ii, 1}, {13.3247, 1}}

o7 : List</code></pre>
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              <pre><code class="language-macaulay2">i8 : R=CC[x,y,z,u1,u2]

o8 = R

o8 : PolynomialRing</code></pre>
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              <pre><code class="language-macaulay2">i9 : f1=x^2+y^2-z^2

2    2    2
o9 = x  + y  - z

o9 : R</code></pre>
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              <pre><code class="language-macaulay2">i10 : f2=u1*x+u2*y

o10 = x*u1 + y*u2

o10 : R</code></pre>
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              <pre><code class="language-macaulay2">i11 : finalParameters0={0,1}

o11 = {0, 1}

o11 : List</code></pre>
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              <pre><code class="language-macaulay2">i12 : finalParameters1={1,0}

o12 = {1, 0}

o12 : List</code></pre>
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              <pre><code class="language-macaulay2">i13 : bPH=bertiniParameterHomotopy( {f1,f2}, {u1,u2},{finalParameters0 ,finalParameters1 },HomVariableGroup=>{x,y,z})

o13 = {{{1, 1.04634e-17-1.01448e-17*ii, -1}, {1, 1.32111e-17+6.418e-20*ii,
      -----------------------------------------------------------------------
      1}}, {{9.97833e-19+1.09185e-18*ii, 1, 1}, {-5.41884e-16+1.41201e-16*ii,
      -----------------------------------------------------------------------
      1, -1}}}

o13 : List</code></pre>
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              <pre><code class="language-macaulay2">i14 : bPH_0--The two solutions for finalParameters0

o14 = {{1, 1.04634e-17-1.01448e-17*ii, -1}, {1, 1.32111e-17+6.418e-20*ii, 1}}

o14 : List</code></pre>
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              <pre><code class="language-macaulay2">i15 : finParamValues={{1},{2}}

o15 = {{1}, {2}}

o15 : List</code></pre>
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              <pre><code class="language-macaulay2">i16 : bPH1=bertiniParameterHomotopy( {&quot;x^2-u1&quot;}, {u1},finParamValues,AffVariableGroup=>{x})

o16 = {{{-1}, {1}}, {{-1.41421}, {1.41421}}}

o16 : List</code></pre>
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              <pre><code class="language-macaulay2">i17 : bPH2=bertiniParameterHomotopy( {&quot;x^2-u1&quot;}, {u1},finParamValues,AffVariableGroup=>{x},OutputStyle=>&quot;OutSolutions&quot;)

o17 = {{{-1}, {1}}, {{-1.41421}, {1.41421}}}

o17 : List</code></pre>
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              <pre><code class="language-macaulay2">i18 : class bPH1_0_0

o18 = Point

o18 : Type</code></pre>
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              <pre><code class="language-macaulay2">i19 : class bPH2_0_0

o19 = List

o19 : Type</code></pre>
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              <pre><code class="language-macaulay2">i20 : dir1 := temporaryFileName(); -- build a directory to store temporary data</code></pre>
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              <pre><code class="language-macaulay2">i21 : makeDirectory dir1;</code></pre>
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              <pre><code class="language-macaulay2">i22 : bPH5=bertiniParameterHomotopy( {&quot;x^2-u1&quot;}, {u1},{{1},{2}},AffVariableGroup=>{x},OutputStyle=>&quot;OutNone&quot;,TopDirectory=>dir1)</code></pre>
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              <pre><code class="language-macaulay2">i23 : B0=importSolutionsFile(dir1,NameSolutionsFile=>&quot;ph_jade_0&quot;)

o23 = {{-1}, {1}}

o23 : List</code></pre>
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              <pre><code class="language-macaulay2">i24 : B1=importSolutionsFile(dir1,NameSolutionsFile=>&quot;ph_jade_1&quot;)

o24 = {{-1.41421}, {1.41421}}

o24 : List</code></pre>
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        <div class="waystouse">
          <h2>Ways to use <span class="tt">bertiniParameterHomotopy</span>:</h2>
          <ul>
            <li><kbd>bertiniParameterHomotopy(List,List,List)</kbd></li>
          </ul>
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        <div class="waystouse">
          <h2>For the programmer</h2>
          <p>The object <a title="a main method to perform a parameter homotopy in Bertini" href="_bertini__Parameter__Homotopy.html">bertiniParameterHomotopy</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function__With__Options.html">method function with options</a></span>.</p>
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        <hr>
        <div class="waystouse">
          <p>The source of this document is in <span class="tt">Bertini.m2:3024:0</span>.</p>
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Edit File: _bertini__Parameter__Homotopy.html

Edit File: _bertiniParameterHomotopy.html