Manuals/calci/MATRIXDECOMPOSE

MATRIXDECOMPOSE(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

References