From 7977b61135234be89158df6726a02037cf307bab Mon Sep 17 00:00:00 2001
From: "pre-commit-ci[bot]"
 <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Date: Wed, 20 Nov 2024 09:44:15 +0000
Subject: [PATCH] [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci
---
 linear_algebra/lanczos_algorithm.py | 24 ++++++++++++------------
 1 file changed, 12 insertions(+), 12 deletions(-)

diff --git a/linear_algebra/lanczos_algorithm.py b/linear_algebra/lanczos_algorithm.py
index 4d792d3b0..f59986da7 100644
--- a/linear_algebra/lanczos_algorithm.py
+++ b/linear_algebra/lanczos_algorithm.py
@@ -3,20 +3,20 @@ import numpy as np
 
 def lanczos(a: np.ndarray) -> tuple[list[float], list[float]]:
     """
-        Implements the Lanczos algorithm for a symmetric matrix.
+    Implements the Lanczos algorithm for a symmetric matrix.
 
-        Parameters:
-        -----------
-        matrix : numpy.ndarray
-            Symmetric matrix of size (n, n).
+    Parameters:
+    -----------
+    matrix : numpy.ndarray
+        Symmetric matrix of size (n, n).
 
-        Returns:
-        --------
-        alpha : [float]
-            List of diagonal elements of the resulting tridiagonal matrix.
-        beta : [float]
-            List of off-diagonal elements of the resulting tridiagonal matrix.
-        """
+    Returns:
+    --------
+    alpha : [float]
+        List of diagonal elements of the resulting tridiagonal matrix.
+    beta : [float]
+        List of off-diagonal elements of the resulting tridiagonal matrix.
+    """
     n = a.shape[0]
     v = np.zeros((n, n))
     rng = np.random.default_rng()