# solve_with_known

compas.numerical.solve_with_known(A, b, x, known)[source]

Solve a system of linear equations with part of solution known.

Parameters
• A (array) – Coefficient matrix represented as an (m x n) array.

• b (array) – Right-hand-side represented as an (m x 1) array.

• x (array) – Unknowns/knowns represented as an (n x 1) array.

• known (list) – The indices of the known elements of x.

Returns

array ((n x 1) vector solution.)

Notes

Computes the solution of the system of linear equations.

$\mathbf{A} \mathbf{x} = \mathbf{b}$

Examples

>>> A = array([[2, 1, 3], [2, 6, 8], [6, 8, 18]])
>>> b = array([[1], [3], [5]])
>>> x = array([[0.3], [0], [0]])
>>> solve_with_known(A, b, x, [0])
array([[ 3.00000000e-01],
[ 4.00000000e-01],
[-6.05576195e-17]])