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Manuals/calci/LUDECOMPOSITION (view source)
Revision as of 23:09, 11 July 2017
, 23:09, 11 July 2017Created page with "<div style="font-size:30px">'''LUDECOMPOSITION (Matrix) '''</div><br/> *<math>Matrix</math> is the set of values. ==Description== *This function gives the value of LU Decompo..."
<div style="font-size:30px">'''LUDECOMPOSITION (Matrix) '''</div><br/>
*<math>Matrix</math> is the set of values.
==Description==
*This function gives the value of LU Decomposition of a given matrix.
*In <math>LUDECOMPOSITION (Matrix)</math>, <math>Matrix</math> is any square matrix.
*LU Decomposition is the procedure for decomposing any square matrix in to a product of Lower Triangular matrix and Upper Triangular matrix.
*In LU Decomposition,L stands for Lower Triangular matrix and U stands for Upper Triangular matrix.
*So A=LU.But sometimes the product includes Permutation Matrix also.
*LU Decomposition is also called LU Factorization.Here given matrix is split in to lower triangular and Upper triangular matrix.
*For 2x2 matrix,
\begin{bmatrix}
a_{11} & a_{12} \\
a_{21}& a_{22}
\end{bmatrix}=\begin{bmatrix}
l_{11} & 0 \\
l_{21}& l_{22}
\end{bmatrix}\begin{bmatrix}
u_{21} & u_{12} \\
0 & u_{22}
\end{bmatrix}
*For 3x3 matrix,
*<math>Matrix</math> is the set of values.
==Description==
*This function gives the value of LU Decomposition of a given matrix.
*In <math>LUDECOMPOSITION (Matrix)</math>, <math>Matrix</math> is any square matrix.
*LU Decomposition is the procedure for decomposing any square matrix in to a product of Lower Triangular matrix and Upper Triangular matrix.
*In LU Decomposition,L stands for Lower Triangular matrix and U stands for Upper Triangular matrix.
*So A=LU.But sometimes the product includes Permutation Matrix also.
*LU Decomposition is also called LU Factorization.Here given matrix is split in to lower triangular and Upper triangular matrix.
*For 2x2 matrix,
\begin{bmatrix}
a_{11} & a_{12} \\
a_{21}& a_{22}
\end{bmatrix}=\begin{bmatrix}
l_{11} & 0 \\
l_{21}& l_{22}
\end{bmatrix}\begin{bmatrix}
u_{21} & u_{12} \\
0 & u_{22}
\end{bmatrix}
*For 3x3 matrix,