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<a name="Matrix-Factorizations"></a>
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Next: <a href="Ranges.html#Ranges" accesskey="n" rel="next">Ranges</a>, Previous: <a href="Matrix-and-Vector-Operations.html#Matrix-and-Vector-Operations" accesskey="p" rel="prev">Matrix and Vector Operations</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
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<hr>
<a name="Matrix-Factorizations-1"></a>
<h2 class="chapter">5 Matrix Factorizations</h2>
<a name="index-matrix-factorizations"></a>
<a name="index-factorizations"></a>
<dl>
<dt><a name="index-AEPBALANCE"></a>: <em></em> <strong>AEPBALANCE</strong> <em>(void)</em></dt>
<dt><a name="index-AEPBALANCE-1"></a>: <em></em> <strong>AEPBALANCE</strong> <em>(const Matrix &<var>a</var>, const char *<var>balance_job</var>)</em></dt>
<dt><a name="index-AEPBALANCE-2"></a>: <em></em> <strong>AEPBALANCE</strong> <em>(const AEPBALANCE &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-8"></a>: <em>AEPBALANCE&</em> <strong>operator =</strong> <em>(const AEPBALANCE &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-balanced_005fmatrix"></a>: <em>Matrix</em> <strong>balanced_matrix</strong> <em>(void) const</em></dt>
<dt><a name="index-balancing_005fmatrix"></a>: <em>Matrix</em> <strong>balancing_matrix</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-8"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const AEPBALANCE &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-ComplexAEPBALANCE"></a>: <em></em> <strong>ComplexAEPBALANCE</strong> <em>(void)</em></dt>
<dt><a name="index-ComplexAEPBALANCE-1"></a>: <em></em> <strong>ComplexAEPBALANCE</strong> <em>(const ComplexMatrix &<var>a</var>, const char *<var>balance_job</var>)</em></dt>
<dt><a name="index-ComplexAEPBALANCE-2"></a>: <em></em> <strong>ComplexAEPBALANCE</strong> <em>(const ComplexAEPBALANCE &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-9"></a>: <em>ComplexAEPBALANCE&</em> <strong>operator =</strong> <em>(const ComplexAEPBALANCE &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-balanced_005fmatrix-1"></a>: <em>ComplexMatrix</em> <strong>balanced_matrix</strong> <em>(void) const</em></dt>
<dt><a name="index-balancing_005fmatrix-1"></a>: <em>ComplexMatrix</em> <strong>balancing_matrix</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-9"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const ComplexAEPBALANCE &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-DET"></a>: <em></em> <strong>DET</strong> <em>(void)</em></dt>
<dt><a name="index-DET-1"></a>: <em></em> <strong>DET</strong> <em>(const DET &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-10"></a>: <em>DET&</em> <strong>operator =</strong> <em>(const DET &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-value_005fwill_005foverflow"></a>: <em>int</em> <strong>value_will_overflow</strong> <em>(void) const</em></dt>
<dt><a name="index-value_005fwill_005funderflow"></a>: <em>int</em> <strong>value_will_underflow</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-coefficient"></a>: <em>double</em> <strong>coefficient</strong> <em>(void) const</em></dt>
<dt><a name="index-exponent"></a>: <em>int</em> <strong>exponent</strong> <em>(void) const</em></dt>
<dt><a name="index-value"></a>: <em>double</em> <strong>value</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-10"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const DET &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-ComplexDET"></a>: <em></em> <strong>ComplexDET</strong> <em>(void)</em></dt>
<dt><a name="index-ComplexDET-1"></a>: <em></em> <strong>ComplexDET</strong> <em>(const ComplexDET &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-11"></a>: <em>ComplexDET&</em> <strong>operator =</strong> <em>(const ComplexDET &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-value_005fwill_005foverflow-1"></a>: <em>int</em> <strong>value_will_overflow</strong> <em>(void) const</em></dt>
<dt><a name="index-value_005fwill_005funderflow-1"></a>: <em>int</em> <strong>value_will_underflow</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-coefficient-1"></a>: <em>Complex</em> <strong>coefficient</strong> <em>(void) const</em></dt>
<dt><a name="index-exponent-1"></a>: <em>int</em> <strong>exponent</strong> <em>(void) const</em></dt>
<dt><a name="index-value-1"></a>: <em>Complex</em> <strong>value</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-11"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const ComplexDET &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-GEPBALANCE"></a>: <em></em> <strong>GEPBALANCE</strong> <em>(void)</em></dt>
<dt><a name="index-GEPBALANCE-1"></a>: <em></em> <strong>GEPBALANCE</strong> <em>(const Matrix &<var>a</var>, const Matrix &, const char *<var>balance_job</var>)</em></dt>
<dt><a name="index-GEPBALANCE-2"></a>: <em></em> <strong>GEPBALANCE</strong> <em>(const GEPBALANCE &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-12"></a>: <em>GEPBALANCE&</em> <strong>operator =</strong> <em>(const GEPBALANCE &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-balanced_005fa_005fmatrix"></a>: <em>Matrix</em> <strong>balanced_a_matrix</strong> <em>(void) const</em></dt>
<dt><a name="index-balanced_005fb_005fmatrix"></a>: <em>Matrix</em> <strong>balanced_b_matrix</strong> <em>(void) const</em></dt>
<dt><a name="index-left_005fbalancing_005fmatrix"></a>: <em>Matrix</em> <strong>left_balancing_matrix</strong> <em>(void) const</em></dt>
<dt><a name="index-right_005fbalancing_005fmatrix"></a>: <em>Matrix</em> <strong>right_balancing_matrix</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-12"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const GEPBALANCE &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-CHOL"></a>: <em></em> <strong>CHOL</strong> <em>(void)</em></dt>
<dt><a name="index-CHOL-1"></a>: <em></em> <strong>CHOL</strong> <em>(const Matrix &<var>a</var>)</em></dt>
<dt><a name="index-CHOL-2"></a>: <em></em> <strong>CHOL</strong> <em>(const Matrix &<var>a</var>, int &<var>info</var>)</em></dt>
<dt><a name="index-CHOL-3"></a>: <em></em> <strong>CHOL</strong> <em>(const CHOL &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-13"></a>: <em>CHOL&</em> <strong>operator =</strong> <em>(const CHOL &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-chol_005fmatrix"></a>: <em>Matrix</em> <strong>chol_matrix</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-13"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const CHOL &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-ComplexCHOL"></a>: <em></em> <strong>ComplexCHOL</strong> <em>(void)</em></dt>
<dt><a name="index-ComplexCHOL-1"></a>: <em></em> <strong>ComplexCHOL</strong> <em>(const ComplexMatrix &<var>a</var>)</em></dt>
<dt><a name="index-ComplexCHOL-2"></a>: <em></em> <strong>ComplexCHOL</strong> <em>(const ComplexMatrix &<var>a</var>, int &<var>info</var>)</em></dt>
<dt><a name="index-ComplexCHOL-3"></a>: <em></em> <strong>ComplexCHOL</strong> <em>(const ComplexCHOL &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-14"></a>: <em>ComplexCHOL&</em> <strong>operator =</strong> <em>(const ComplexCHOL &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-chol_005fmatrix-1"></a>: <em>ComplexMatrix</em> <strong>chol_matrix</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-14"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const ComplexCHOL &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-HESS"></a>: <em></em> <strong>HESS</strong> <em>(void)</em></dt>
<dt><a name="index-HESS-1"></a>: <em></em> <strong>HESS</strong> <em>(const Matrix &<var>a</var>)</em></dt>
<dt><a name="index-HESS-2"></a>: <em></em> <strong>HESS</strong> <em>(const Matrix&a, int &<var>info</var>)</em></dt>
<dt><a name="index-HESS-3"></a>: <em></em> <strong>HESS</strong> <em>(const HESS &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-15"></a>: <em>HESS&</em> <strong>operator =</strong> <em>(const HESS &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-hess_005fmatrix"></a>: <em>Matrix</em> <strong>hess_matrix</strong> <em>(void) const</em></dt>
<dt><a name="index-unitary_005fhess_005fmatrix"></a>: <em>Matrix</em> <strong>unitary_hess_matrix</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-15"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const HESS &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-ComplexHESS"></a>: <em></em> <strong>ComplexHESS</strong> <em>(void)</em></dt>
<dt><a name="index-ComplexHESS-1"></a>: <em></em> <strong>ComplexHESS</strong> <em>(const ComplexMatrix &<var>a</var>)</em></dt>
<dt><a name="index-ComplexHESS-2"></a>: <em></em> <strong>ComplexHESS</strong> <em>(const ComplexMatrix &<var>a</var>, int &<var>info</var>)</em></dt>
<dt><a name="index-ComplexHESS-3"></a>: <em></em> <strong>ComplexHESS</strong> <em>(const ComplexHESS &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-16"></a>: <em>ComplexHESS&</em> <strong>operator =</strong> <em>(const ComplexHESS &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-hess_005fmatrix-1"></a>: <em>ComplexMatrix</em> <strong>hess_matrix</strong> <em>(void) const</em></dt>
<dt><a name="index-unitary_005fhess_005fmatrix-1"></a>: <em>ComplexMatrix</em> <strong>unitary_hess_matrix</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-16"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const ComplexHESS &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-SCHUR"></a>: <em></em> <strong>SCHUR</strong> <em>(void)</em></dt>
<dt><a name="index-SCHUR-1"></a>: <em></em> <strong>SCHUR</strong> <em>(const Matrix &<var>a</var>, const char *<var>ord</var>)</em></dt>
<dt><a name="index-SCHUR-2"></a>: <em></em> <strong>SCHUR</strong> <em>(const Matrix &<var>a</var>, const char *<var>ord</var>, int &<var>info</var>)</em></dt>
<dt><a name="index-SCHUR-3"></a>: <em></em> <strong>SCHUR</strong> <em>(const SCHUR &<var>a</var>, const char *<var>ord</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-17"></a>: <em>SCHUR&</em> <strong>operator =</strong> <em>(const SCHUR &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-schur_005fmatrix"></a>: <em>Matrix</em> <strong>schur_matrix</strong> <em>(void) const</em></dt>
<dt><a name="index-unitary_005fmatrix"></a>: <em>Matrix</em> <strong>unitary_matrix</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-17"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const SCHUR &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-ComplexSCHUR"></a>: <em></em> <strong>ComplexSCHUR</strong> <em>(void)</em></dt>
<dt><a name="index-ComplexSCHUR-1"></a>: <em></em> <strong>ComplexSCHUR</strong> <em>(const ComplexMatrix &<var>a</var>, const char *<var>ord</var>)</em></dt>
<dt><a name="index-ComplexSCHUR-2"></a>: <em></em> <strong>ComplexSCHUR</strong> <em>(const ComplexMatrix &<var>a</var>, const char *<var>ord</var>, int &<var>info</var>)</em></dt>
<dt><a name="index-ComplexSCHUR-3"></a>: <em></em> <strong>ComplexSCHUR</strong> <em>(const ComplexSCHUR &<var>a</var>, const char *<var>ord</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-18"></a>: <em>ComplexSCHUR&</em> <strong>operator =</strong> <em>(const ComplexSCHUR &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-schur_005fmatrix-1"></a>: <em>ComplexMatrix</em> <strong>schur_matrix</strong> <em>(void) const</em></dt>
<dt><a name="index-unitary_005fmatrix-1"></a>: <em>ComplexMatrix</em> <strong>unitary_matrix</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-18"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const ComplexSCHUR &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-SVD"></a>: <em></em> <strong>SVD</strong> <em>(void)</em></dt>
<dt><a name="index-SVD-1"></a>: <em></em> <strong>SVD</strong> <em>(const Matrix &<var>a</var>)</em></dt>
<dt><a name="index-SVD-2"></a>: <em></em> <strong>SVD</strong> <em>(const Matrix &<var>a</var>, int &<var>info</var>)</em></dt>
<dt><a name="index-SVD-3"></a>: <em></em> <strong>SVD</strong> <em>(const SVD &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-19"></a>: <em>SVD&</em> <strong>operator =</strong> <em>(const SVD &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-singular_005fvalues"></a>: <em>DiagMatrix</em> <strong>singular_values</strong> <em>(void) const</em></dt>
<dt><a name="index-left_005fsingular_005fmatrix"></a>: <em>Matrix</em> <strong>left_singular_matrix</strong> <em>(void) const</em></dt>
<dt><a name="index-right_005fsingular_005fmatrix"></a>: <em>Matrix</em> <strong>right_singular_matrix</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-19"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const SVD &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-ComplexSVD"></a>: <em></em> <strong>ComplexSVD</strong> <em>(void)</em></dt>
<dt><a name="index-ComplexSVD-1"></a>: <em></em> <strong>ComplexSVD</strong> <em>(const ComplexMatrix &<var>a</var>)</em></dt>
<dt><a name="index-ComplexSVD-2"></a>: <em></em> <strong>ComplexSVD</strong> <em>(const ComplexMatrix &<var>a</var>, int &<var>info</var>)</em></dt>
<dt><a name="index-ComplexSVD-3"></a>: <em></em> <strong>ComplexSVD</strong> <em>(const ComplexSVD &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-20"></a>: <em>ComplexSVD&</em> <strong>operator =</strong> <em>(const ComplexSVD &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-singular_005fvalues-1"></a>: <em>DiagMatrix</em> <strong>singular_values</strong> <em>(void) const</em></dt>
<dt><a name="index-left_005fsingular_005fmatrix-1"></a>: <em>ComplexMatrix</em> <strong>left_singular_matrix</strong> <em>(void) const</em></dt>
<dt><a name="index-right_005fsingular_005fmatrix-1"></a>: <em>ComplexMatrix</em> <strong>right_singular_matrix</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-20"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const ComplexSVD &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-EIG"></a>: <em></em> <strong>EIG</strong> <em>(void)</em></dt>
<dt><a name="index-EIG-1"></a>: <em></em> <strong>EIG</strong> <em>(const Matrix &<var>a</var>)</em></dt>
<dt><a name="index-EIG-2"></a>: <em></em> <strong>EIG</strong> <em>(const Matrix &<var>a</var>, int &<var>info</var>)</em></dt>
<dt><a name="index-EIG-3"></a>: <em></em> <strong>EIG</strong> <em>(const ComplexMatrix &<var>a</var>)</em></dt>
<dt><a name="index-EIG-4"></a>: <em></em> <strong>EIG</strong> <em>(const ComplexMatrix &<var>a</var>, int &<var>info</var>)</em></dt>
<dt><a name="index-EIG-5"></a>: <em></em> <strong>EIG</strong> <em>(const EIG &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-21"></a>: <em>EIG&</em> <strong>operator =</strong> <em>(const EIG &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-eigenvalues"></a>: <em>ComplexColumnVector</em> <strong>eigenvalues</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-eigenvectors"></a>: <em>ComplexMatrix</em> <strong>eigenvectors</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-21"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const EIG &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-LU"></a>: <em></em> <strong>LU</strong> <em>(void)</em></dt>
<dt><a name="index-LU-1"></a>: <em></em> <strong>LU</strong> <em>(const Matrix &<var>a</var>)</em></dt>
<dt><a name="index-LU-2"></a>: <em></em> <strong>LU</strong> <em>(const LU &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-22"></a>: <em>LU&</em> <strong>operator =</strong> <em>(const LU &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-L"></a>: <em>Matrix</em> <strong>L</strong> <em>(void) const</em></dt>
<dt><a name="index-U"></a>: <em>Matrix</em> <strong>U</strong> <em>(void) const</em></dt>
<dt><a name="index-P"></a>: <em>Matrix</em> <strong>P</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-22"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const LU &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-ComplexLU"></a>: <em></em> <strong>ComplexLU</strong> <em>(void)</em></dt>
<dt><a name="index-ComplexLU-1"></a>: <em></em> <strong>ComplexLU</strong> <em>(const ComplexMatrix &<var>a</var>)</em></dt>
<dt><a name="index-ComplexLU-2"></a>: <em></em> <strong>ComplexLU</strong> <em>(const ComplexLU &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-23"></a>: <em>ComplexLU&</em> <strong>operator =</strong> <em>(const ComplexLU &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-L-1"></a>: <em>ComplexMatrix</em> <strong>L</strong> <em>(void) const</em></dt>
<dt><a name="index-U-1"></a>: <em>ComplexMatrix</em> <strong>U</strong> <em>(void) const</em></dt>
<dt><a name="index-P-1"></a>: <em>Matrix</em> <strong>P</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-23"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const ComplexLU &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-QR"></a>: <em></em> <strong>QR</strong> <em>(void)</em></dt>
<dt><a name="index-QR-1"></a>: <em></em> <strong>QR</strong> <em>(const Matrix &<var>A</var>)</em></dt>
<dt><a name="index-QR-2"></a>: <em></em> <strong>QR</strong> <em>(const QR &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-24"></a>: <em>QR&</em> <strong>operator =</strong> <em>(const QR &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-Q"></a>: <em>Matrix</em> <strong>Q</strong> <em>(void) const</em></dt>
<dt><a name="index-R"></a>: <em>Matrix</em> <strong>R</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-24"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const QR &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-ComplexQR"></a>: <em></em> <strong>ComplexQR</strong> <em>(void)</em></dt>
<dt><a name="index-ComplexQR-1"></a>: <em></em> <strong>ComplexQR</strong> <em>(const ComplexMatrix &<var>A</var>)</em></dt>
<dt><a name="index-ComplexQR-2"></a>: <em></em> <strong>ComplexQR</strong> <em>(const ComplexQR &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003d-25"></a>: <em>ComplexQR&</em> <strong>operator =</strong> <em>(const ComplexQR &<var>a</var>)</em></dt>
</dl>
<dl>
<dt><a name="index-Q-1"></a>: <em>ComplexMatrix</em> <strong>Q</strong> <em>(void) const</em></dt>
<dt><a name="index-R-1"></a>: <em>ComplexMatrix</em> <strong>R</strong> <em>(void) const</em></dt>
</dl>
<dl>
<dt><a name="index-operator-_003c_003c-25"></a>: <em>ostream&</em> <strong>operator <<</strong> <em>(ostream &<var>os</var>, const ComplexQR &<var>a</var>)</em></dt>
</dl>
<hr>
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