Difference between revisions of "Manuals/calci/MATRIXDECOMPOSE"
Jump to navigation
Jump to search
(Created page with "<div style="font-size:30px">'''MATRIXDECOMPOSE(a)'''</div><br/> *<math>a</math> is order of the matrix. ==Description== *This function gives the matrix decomposition. *A matr...") |
|||
| Line 15: | Line 15: | ||
==Example== | ==Example== | ||
MATRIXDECOMPOSE(|4|) = | MATRIXDECOMPOSE(|4|) = | ||
| + | </br> | ||
1 0 0 0 | 1 0 0 0 | ||
0 1 0 0 | 0 1 0 0 | ||
0 0 1 0 | 0 0 1 0 | ||
0 0 0 1 | 0 0 0 1 | ||
| + | </br> | ||
1 | 1 | ||
Latest revision as of 05:32, 19 June 2020
MATRIXDECOMPOSE(a)
- is order of the matrix.
is order of the matrix.Description
- This function gives the matrix decomposition.
- A matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices.
- There are many different matrix decompositions.
- This is the procedure for decomposing any square matrix in to a product.
- LU Decomposition,QR Decomposition, Cholesky Decomposition and etc are different types of Decomposition.
- In LU Decomposition, L stands for Lower Triangular matrix and U stands for Upper Triangular matrix.
- QR Decomposition is defined by the product of Orthogonal matrix and Upper Triangular matrix.
- The Cholesky Factorization is only defined for symmetric or Hermitian positive definite matrices.
Example
MATRIXDECOMPOSE(|4|) =
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
1