imsl.linalg.LU

class LU(a)

Solve a real general system of linear equations.

Solve a real general system of linear equations \(Ax = b\). Using specific methods, any of several related computations can be performed. These extra tasks include computing the LU factorization of A using partial pivoting, computing the inverse matrix \(A^{-1}\), solving \(A^T x = b\) or \(A^H x = b\), or computing the solution of \(Ax = b\) given the LU factorization of A.

Parameters:a ((N,N) array_like) – Array containing the input matrix.

Methods

cond()	Compute the \(L_1\) norm condition number of the matrix.
factor()	Compute the pivoted LU factorization of the matrix.
factor_full()	Compute the pivoted LU factorization of the matrix.
inv()	Compute the inverse of the matrix.
solve(b[, transpose])	Solve a system of linear equations using right-hand side b.