[pre-commit.ci] pre-commit autoupdate (#6629)

* [pre-commit.ci] pre-commit autoupdate

updates:
- [github.com/psf/black: 22.6.0 → 22.8.0](https://github.com/psf/black/compare/22.6.0...22.8.0)
- [github.com/asottile/pyupgrade: v2.37.0 → v2.38.2](https://github.com/asottile/pyupgrade/compare/v2.37.0...v2.38.2)
- https://gitlab.com/pycqa/flake8 → https://github.com/PyCQA/flake8
- [github.com/PyCQA/flake8: 3.9.2 → 5.0.4](https://github.com/PyCQA/flake8/compare/3.9.2...5.0.4)
- [github.com/pre-commit/mirrors-mypy: v0.961 → v0.981](https://github.com/pre-commit/mirrors-mypy/compare/v0.961...v0.981)
- [github.com/codespell-project/codespell: v2.1.0 → v2.2.1](https://github.com/codespell-project/codespell/compare/v2.1.0...v2.2.1)

* Fix a long line

* Update sol1.py

* Update sol1.py

* lambda_

* Update multi_level_feedback_queue.py

* Update double_ended_queue.py

* Update sequential_minimum_optimization.py

* Update .pre-commit-config.yaml

Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Co-authored-by: Christian Clauss <cclauss@me.com>

linear_algebra/src/power_iteration.py

@@ -52,7 +52,7 @@ def power_iteration(
     # or when we have small changes from one iteration to next.
 
     convergence = False
-    lamda_previous = 0
+    lambda_previous = 0
     iterations = 0
     error = 1e12
 
@@ -64,21 +64,21 @@ def power_iteration(
         # Find rayleigh quotient
         # (faster than usual b/c we know vector is normalized already)
         vectorH = vector.conj().T if is_complex else vector.T
-        lamda = np.dot(vectorH, np.dot(input_matrix, vector))
+        lambda_ = np.dot(vectorH, np.dot(input_matrix, vector))
 
         # Check convergence.
-        error = np.abs(lamda - lamda_previous) / lamda
+        error = np.abs(lambda_ - lambda_previous) / lambda_
         iterations += 1
 
         if error <= error_tol or iterations >= max_iterations:
             convergence = True
 
-        lamda_previous = lamda
+        lambda_previous = lambda_
 
     if is_complex:
-        lamda = np.real(lamda)
+        lambda_ = np.real(lambda_)
 
-    return lamda, vector
+    return lambda_, vector
 
 
 def test_power_iteration() -> None: