jax.scipy.linalg.solve_triangular¶

jax.scipy.linalg.solve_triangular(a, b, trans=0, lower=False, unit_diagonal=False, overwrite_b=False, debug=None, check_finite=True)[source]¶

Solve the equation a x = b for x, assuming a is a triangular matrix.

LAX-backend implementation of solve_triangular().

Original docstring below.

Parameters

a ((M, M) array_like) – A triangular matrix
b ((M,) or (M, N) array_like) – Right-hand side matrix in a x = b
lower (bool, optional) – Use only data contained in the lower triangle of a. Default is to use upper triangle.
trans ({0, 1, 2, 'N', 'T', 'C'}, optional) –
Type of system to solve:

trans

system

0 or ‘N’

a x = b

1 or ‘T’

a^T x = b

2 or ‘C’

a^H x = b
unit_diagonal (bool, optional) – If True, diagonal elements of a are assumed to be 1 and will not be referenced.
overwrite_b (bool, optional) – Allow overwriting data in b (may enhance performance)
check_finite (bool, optional) – Whether to check that the input matrices contain only finite numbers. Disabling may give a performance gain, but may result in problems (crashes, non-termination) if the inputs do contain infinities or NaNs.

Returns

x – Solution to the system a x = b. Shape of return matches b.

Return type

(M,) or (M, N) ndarray

trans	system
0 or ‘N’	a x = b
1 or ‘T’	a^T x = b
2 or ‘C’	a^H x = b