algorithm/Python
1
0
Fork 0
mirror of https://github.com/TheAlgorithms/Python.git synced 2025-07-22 23:33:02 +08:00
Code Issues Packages Projects Releases Wiki Activity

Add pep8-naming to pre-commit hooks and fixes incorrect naming conventions (#7062)

Browse Source 
* ci(pre-commit): Add pep8-naming to `pre-commit` hooks (#7038)

* refactor: Fix naming conventions (#7038)

* Update arithmetic_analysis/lu_decomposition.py

Co-authored-by: Christian Clauss <cclauss@me.com>

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* refactor(lu_decomposition): Replace `NDArray` with `ArrayLike` (#7038)

* chore: Fix naming conventions in doctests (#7038)

* fix: Temporarily disable project euler problem 104 (#7069)

* chore: Fix naming conventions in doctests (#7038)

Co-authored-by: Christian Clauss <cclauss@me.com>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
This commit is contained in:
Caeden
2022-10-12 23:54:20 +01:00
committed by GitHub
parent e2cd982b11
commit 07e991d553
140 changed files with 1552 additions and 1536 deletions
Download Patch File Download Diff File Expand all files Collapse all files

16
linear_algebra/src/rayleigh_quotient.py
View File

@ -26,7 +26,7 @@ def is_hermitian(matrix: np.ndarray) -> bool:
return np.array_equal(matrix, matrix.conjugate().T)
def rayleigh_quotient(A: np.ndarray, v: np.ndarray) -> Any:
def rayleigh_quotient(a: np.ndarray, v: np.ndarray) -> Any:
"""
Returns the Rayleigh quotient of a Hermitian matrix A and
vector v.
@ -45,20 +45,20 @@ def rayleigh_quotient(A: np.ndarray, v: np.ndarray) -> Any:
array([[3.]])
"""
v_star = v.conjugate().T
v_star_dot = v_star.dot(A)
v_star_dot = v_star.dot(a)
assert isinstance(v_star_dot, np.ndarray)
return (v_star_dot.dot(v)) / (v_star.dot(v))
def tests() -> None:
A = np.array([[2, 2 + 1j, 4], [2 - 1j, 3, 1j], [4, -1j, 1]])
a = np.array([[2, 2 + 1j, 4], [2 - 1j, 3, 1j], [4, -1j, 1]])
v = np.array([[1], [2], [3]])
assert is_hermitian(A), f"{A} is not hermitian."
print(rayleigh_quotient(A, v))
assert is_hermitian(a), f"{a} is not hermitian."
print(rayleigh_quotient(a, v))
A = np.array([[1, 2, 4], [2, 3, -1], [4, -1, 1]])
assert is_hermitian(A), f"{A} is not hermitian."
assert rayleigh_quotient(A, v) == float(3)
a = np.array([[1, 2, 4], [2, 3, -1], [4, -1, 1]])
assert is_hermitian(a), f"{a} is not hermitian."
assert rayleigh_quotient(a, v) == float(3)
if __name__ == "__main__":