Files
Seals-NumericCalculus/Older Versions/yoshi-seals1.3/Seals/eigen/eigen.py
2020-06-29 23:47:51 -03:00

51 lines
1.4 KiB
Python

# Seals - Program made for educational intent, can be freely distributed
# and can be used for economical intent. I will not take legal actions
# unless my intelectual propperty, the code, is stolen or change without permission.
# Copyright (C) 2020 VItor Hideyoshi Nakazone Batista
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License version 2 as published by
# the Free Software Foundation.
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
# You should have received a copy of the GNU General Public License along
# with this program; if not, write to the Free Software Foundation, Inc.,
# 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
import numpy as np
def eigen(a):
k = 0
l = np.ones((a.shape[0]))
while (k < a.shape[0]):
u = np.random.rand(a.shape[0],1)
u = u/max(u.min(), u.max(), key=abs)
ctrl = 0
while (ctrl != l[k]):
ctrl = l[k]
u = a.dot(u)
l[k] = max(u.min(), u.max(), key=abs)
u = u/l[k]
i = 0
while (u[i] == 0):
i += 1
a = a - (1/u[i])*u*a[i]
k += 1
return l