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dev/modules/core.html

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@@ -6969,7 +6969,7 @@ <h3>Dict<a class="headerlink" href="#dict" title="Permalink to this headline">¶
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<h3>iterable<a class="headerlink" href="#iterable" title="Permalink to this headline">¶</a></h3>
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<dl class="function">
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<dt id="sympy.core.compatibility.iterable">
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<tt class="descclassname">sympy.core.compatibility.</tt><tt class="descname">iterable</tt><big>(</big><em>i</em>, <em>exclude=((&lt;type 'str'&gt;</em>, <em>&lt;type 'unicode'&gt;)</em>, <em>&lt;type 'dict'&gt;</em>, <em>&lt;class sympy.core.compatibility.NotIterable at 0x2905e90&gt;)</em><big>)</big><a class="reference internal" href="../_modules/sympy/core/compatibility.html#iterable"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.core.compatibility.iterable" title="Permalink to this definition">¶</a></dt>
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<tt class="descclassname">sympy.core.compatibility.</tt><tt class="descname">iterable</tt><big>(</big><em>i</em>, <em>exclude=((&lt;type 'str'&gt;</em>, <em>&lt;type 'unicode'&gt;)</em>, <em>&lt;type 'dict'&gt;</em>, <em>&lt;class sympy.core.compatibility.NotIterable at 0x23c4ef0&gt;)</em><big>)</big><a class="reference internal" href="../_modules/sympy/core/compatibility.html#iterable"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.core.compatibility.iterable" title="Permalink to this definition">¶</a></dt>
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<dd><p>Return a boolean indicating whether <tt class="docutils literal"><span class="pre">i</span></tt> is SymPy iterable.
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True also indicates that the iterator is finite, i.e. you e.g.
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call list(...) on the instance.</p>

dev/modules/matrices/dense.html

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<dt id="sympy.matrices.dense.MutableDenseMatrix.simplify">
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<tt class="descname">simplify</tt><big>(</big><em>ratio=1.7</em>, <em>measure=&lt;function count_ops at 0x3044500&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/dense.html#MutableDenseMatrix.simplify"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.dense.MutableDenseMatrix.simplify" title="Permalink to this definition"></a></dt>
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<tt class="descname">simplify</tt><big>(</big><em>ratio=1.7</em>, <em>measure=&lt;function count_ops at 0x2b03500&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/dense.html#MutableDenseMatrix.simplify"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.dense.MutableDenseMatrix.simplify" title="Permalink to this definition"></a></dt>
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<dd><p>Applies simplify to the elements of a matrix in place.</p>
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<p>This is a shortcut for M.applyfunc(lambda x: simplify(x, ratio, measure))</p>
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<div class="admonition-see-also admonition seealso">

dev/modules/matrices/matrices.html

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<dt id="sympy.matrices.matrices.MatrixBase.LUdecomposition">
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<tt class="descname">LUdecomposition</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x39532a8&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.LUdecomposition"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.LUdecomposition" title="Permalink to this definition"></a></dt>
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<tt class="descname">LUdecomposition</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x34122a8&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.LUdecomposition"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.LUdecomposition" title="Permalink to this definition"></a></dt>
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<dd><p>Returns the decomposition LU and the row swaps p.</p>
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<div class="admonition-see-also admonition seealso">
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<p class="first admonition-title">See also</p>
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<dt id="sympy.matrices.matrices.MatrixBase.LUdecomposition_Simple">
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<tt class="descname">LUdecomposition_Simple</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x39532a8&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.LUdecomposition_Simple"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.LUdecomposition_Simple" title="Permalink to this definition"></a></dt>
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<tt class="descname">LUdecomposition_Simple</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x34122a8&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.LUdecomposition_Simple"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.LUdecomposition_Simple" title="Permalink to this definition"></a></dt>
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<dd><p>Returns A comprised of L, U (L&#8217;s diag entries are 1) and
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p which is the list of the row swaps (in order).</p>
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<dt id="sympy.matrices.matrices.MatrixBase.LUsolve">
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<tt class="descname">LUsolve</tt><big>(</big><em>rhs</em>, <em>iszerofunc=&lt;function _iszero at 0x39532a8&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.LUsolve"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.LUsolve" title="Permalink to this definition"></a></dt>
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<tt class="descname">LUsolve</tt><big>(</big><em>rhs</em>, <em>iszerofunc=&lt;function _iszero at 0x34122a8&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.LUsolve"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.LUsolve" title="Permalink to this definition"></a></dt>
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<dd><p>Solve the linear system Ax = rhs for x where A = self.</p>
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<p>This is for symbolic matrices, for real or complex ones use
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sympy.mpmath.lu_solve or sympy.mpmath.qr_solve.</p>
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<dt id="sympy.matrices.matrices.MatrixBase.berkowitz_charpoly">
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<tt class="descname">berkowitz_charpoly</tt><big>(</big><em>x=_lambda</em>, <em>simplify=&lt;function simplify at 0x38459b0&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.berkowitz_charpoly"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.berkowitz_charpoly" title="Permalink to this definition"></a></dt>
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<tt class="descname">berkowitz_charpoly</tt><big>(</big><em>x=_lambda</em>, <em>simplify=&lt;function simplify at 0x33049b0&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.berkowitz_charpoly"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.berkowitz_charpoly" title="Permalink to this definition"></a></dt>
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<dd><p>Computes characteristic polynomial minors using Berkowitz method.</p>
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<p>A PurePoly is returned so using different variables for <tt class="docutils literal"><span class="pre">x</span></tt> does
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<tt class="descname">charpoly</tt><big>(</big><em>x=_lambda</em>, <em>simplify=&lt;function simplify at 0x38459b0&gt;</em><big>)</big><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.charpoly" title="Permalink to this definition"></a></dt>
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<tt class="descname">charpoly</tt><big>(</big><em>x=_lambda</em>, <em>simplify=&lt;function simplify at 0x33049b0&gt;</em><big>)</big><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.charpoly" title="Permalink to this definition"></a></dt>
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<dd><p>Computes characteristic polynomial minors using Berkowitz method.</p>
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<p>A PurePoly is returned so using different variables for <tt class="docutils literal"><span class="pre">x</span></tt> does
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<dt id="sympy.matrices.matrices.MatrixBase.inverse_ADJ">
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<tt class="descname">inverse_ADJ</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x39532a8&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.inverse_ADJ"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.inverse_ADJ" title="Permalink to this definition"></a></dt>
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<tt class="descname">inverse_ADJ</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x34122a8&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.inverse_ADJ"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.inverse_ADJ" title="Permalink to this definition"></a></dt>
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<dd><p>Calculates the inverse using the adjugate matrix and a determinant.</p>
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<p class="first admonition-title">See also</p>
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<tt class="descname">inverse_GE</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x39532a8&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.inverse_GE"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.inverse_GE" title="Permalink to this definition"></a></dt>
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<tt class="descname">inverse_GE</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x34122a8&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.inverse_GE"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.inverse_GE" title="Permalink to this definition"></a></dt>
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<dd><p>Calculates the inverse using Gaussian elimination.</p>
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<dt id="sympy.matrices.matrices.MatrixBase.inverse_LU">
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<tt class="descname">inverse_LU</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x39532a8&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.inverse_LU"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.inverse_LU" title="Permalink to this definition"></a></dt>
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<tt class="descname">inverse_LU</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x34122a8&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.inverse_LU"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.inverse_LU" title="Permalink to this definition"></a></dt>
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<dd><p>Calculates the inverse using LU decomposition.</p>
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<dt id="sympy.matrices.matrices.MatrixBase.rank">
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<tt class="descname">rank</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x39532a8&gt;</em>, <em>simplify=False</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.rank"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.rank" title="Permalink to this definition"></a></dt>
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<tt class="descname">rank</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x34122a8&gt;</em>, <em>simplify=False</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.rank"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.rank" title="Permalink to this definition"></a></dt>
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<dd><p>Returns the rank of a matrix</p>
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<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">sympy</span> <span class="kn">import</span> <span class="n">Matrix</span>
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<span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">sympy.abc</span> <span class="kn">import</span> <span class="n">x</span>
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<dt id="sympy.matrices.matrices.MatrixBase.rref">
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<tt class="descname">rref</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x39532a8&gt;</em>, <em>simplify=False</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.rref"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.rref" title="Permalink to this definition"></a></dt>
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<tt class="descname">rref</tt><big>(</big><em>iszerofunc=&lt;function _iszero at 0x34122a8&gt;</em>, <em>simplify=False</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.rref"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.rref" title="Permalink to this definition"></a></dt>
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<dd><p>Return reduced row-echelon form of matrix and indices of pivot vars.</p>
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<p>To simplify elements before finding nonzero pivots set simplify=True
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<dt id="sympy.matrices.matrices.MatrixBase.simplify">
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<tt class="descname">simplify</tt><big>(</big><em>ratio=1.7</em>, <em>measure=&lt;function count_ops at 0x3044500&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.simplify"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.simplify" title="Permalink to this definition"></a></dt>
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<tt class="descname">simplify</tt><big>(</big><em>ratio=1.7</em>, <em>measure=&lt;function count_ops at 0x2b03500&gt;</em><big>)</big><a class="reference internal" href="../../_modules/sympy/matrices/matrices.html#MatrixBase.simplify"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#sympy.matrices.matrices.MatrixBase.simplify" title="Permalink to this definition"></a></dt>
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<dd><p>Apply simplify to each element of the matrix.</p>
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<p class="rubric">Examples</p>
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<div class="highlight-python"><div class="highlight"><pre><span class="gp">&gt;&gt;&gt; </span><span class="kn">from</span> <span class="nn">sympy.abc</span> <span class="kn">import</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span>

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