Linear Algebra

Revision for “Linear Algebra” created on April 15, 2015 @ 18:20:01

TitleContentExcerptRevision Note
Linear Algebra
<ul>
<li>vector</li>
<li>vector space</li>
<li>various matrix representations:
<ul>
<li>bi-diagonal</li>
<li>diagonal</li>
<li>tri-diagonal</li>
<li>Givens</li>
<li>Hilbert</li>
<li>lower/upper triangular</li>
<li>permutation</li>
</ul>
</li>
<li>sparse vector representations:</li>
<li>sparse matrix representations:
<ul>
<li>CSR</li>
<li>DOK</li>
<li>LIL</li>
</ul>
</li>
<li>iterative sparse matrix solver:
<ul>
<li>stationary
<ul>
<li>Jacobi</li>
<li>Gauss-Seidel</li>
<li>SOR</li>
<li>SSOR</li>
</ul>
</li>
<li>non-stationary
<ul>
<li>Steepest Descent</li>
<li>BiCG</li>
<li>BiCGStabl</li>
<li>CGNE</li>
<li>CGNR</li>
<li>CG</li>
<li>CGS</li>
<li>GCR</li>
<li>GMRES</li>
<li>MinRes</li>
<li>QMR</li>
</ul>
</li>
<li>pre-conditioner support
<ul>
<li>Jacobi</li>
<li>SSOR</li>
<li>customized</li>
</ul>
</li>
</ul>
</li>
<li>matrix elementary operations</li>
<li>Householder transformation</li>
<li>matrix inverse</li>
<li>matrix measures:
<ul>
<li>determinant</li>
<li>rank</li>
<li>trace</li>
<li>max</li>
<li>min</li>
</ul>
</li>
<li>power of matrix</li>
<li>matrix pseudoinverse</li>
<li>matrix bi-diagonalization</li>
<li>matrix tri-diagonalization</li>
<li>Cholesky decomposition</li>
<li>Doolittle factorization</li>
<li>Eigen factorization</li>
<li>Gauss-Jordan elimination</li>
<li>SVD factorization (for asymmetric matrix)</li>
<li>Gram-Schmidt factorization</li>
<li>Hessenberg factorization</li>
<li>LDL decomposition</li>
<li>LU decomposition</li>
<li>QR decomposition</li>
</ul>



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April 15, 2015 @ 18:20:01 webmaster
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