Linear equations

We provide a variety of linear equations.

temfpy.linear_equations.get_ill_cond_lin_eq(n)

Create ill-conditioned system of linear equations given a 1-D solution array of ones.

\[Ax=b\]

Parameters

n (non-negative integer) – Dimension of linear equation.

Returns

• a (array_like) – 2-D ill-conditioned array.

• x (array_like) – 1-D solution array of ones.

• b (array_like) – 1-D data array.

References

W2021

Vandermonde matrix. (2021, December 1). In Wikipedia. Retrieved from https://en.wikipedia.org/wiki/Vandermonde_matrix.

Examples

>>> import numpy as np
>>> from temfpy.linear_equations import get_ill_cond_lin_eq
>>>
>>> n = 5
>>> a, x, b = get_ill_cond_lin_eq(n)