scipy tutorial - Baustatik-Info-Server

SciPy Reference Guide, Release 0.8.dev
Notes
This is a LU factorization routine written for Scipy.
lu_factor(a, overwrite_a=0)
Compute pivoted LU decomposition of a matrix.
The decomposition is:
A = P L U
where P is a permutation matrix, L lower triangular with unit diagonal elements, and U upper triangular.
See Also:
Parameters
a : array, shape (M, M)
Matrix to decompose
overwrite_a : boolean
Whether to overwrite data in A (may increase performance)
Returns
lu : array, shape (N, N)
Matrix containing U in its upper triangle, and L in its lower triangle. The unit diagonal
elements of L are not stored.
piv : array, shape (N,)
Pivot indices representing the permutation matrix P: row i of matrix was interchanged
with row piv[i].
lu_solve
solve an equation system using the LU factorization of a matrix
Notes
This is a wrapper to the *GETRF routines from LAPACK.
lu_solve((lu, piv), b, trans=0, overwrite_b=0)
Solve an equation system, a x = b, given the LU factorization of a
Parameters
(lu, piv) :
b : array
Factorization of the coefficient matrix a, as given by lu_factor
Right-hand side
trans : {0, 1, 2}
Returns
x : array
Type of system to solve:
trans system
0 a x = b
1 a^T x = b
2 a^H x = b
234 Chapter 3. Reference