Manuals/calci/MATRIXDECOMPOSE

MATRIXDECOMPOSE(a)

• $a$ 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

See Also

• LUDECOMPOSITION
• CHOLESKYFACTORIZATION
• QRDECOMPOSITION

References

• LU Decomposition

• List of Main Z Functions

• Z3 home