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3 votes
0 answers
188 views

Implementation of an algorithm for simultaneous diagonalization

I am trying to write an implementation of an algorithm for the simultaneous diagonalization of two matrices (which are assumed to be simultaneously diagonalizable). However, the algorithm does not ...
schade96's user avatar
  • 316
0 votes
2 answers
1k views

Python numpy matrix multiplication mismatch in core dimension

I am trying to matrix multiply a 2x2 matrix with a 2x1 matrix. Both matrices have entries which are linspaces such that the resulting 2x1 matrix gives me a value for each value of the linspace. I get ...
Christofer Iacovou's user avatar
0 votes
1 answer
435 views

Eigenvalue decomposition for a very huge matrix of medical images(such as the pixel physical coordinates of CT images)

I am trying to do eigenvalue decomposition for a huge matrix which size is more than 788000 * 788000 for medical image analysis. The matrix is not sparse and every element in the matrix has a real ...
Michael Cheng's user avatar
1 vote
0 answers
148 views

Least positive eigenvalue of a Laplacian matrix

To calculate the eigenvalues of a Laplacian matrix, I used the function numpy.linalg.eig. The least positive eigenvalue I obtained was 2.6645352591003757e-15. What is wrong in the calculation? Is it ...
ma13's user avatar
  • 51
0 votes
1 answer
414 views

Determinant of a jacobian matriz using finite differences in python

I am trying to calculate the determinant of the Jacobian matrix and evaluating when that determinant is zero from the functions x and y. I am trying to implement the simple method of finite ...
Eduardo Vieira's user avatar
0 votes
1 answer
720 views

Numerical solving of overdetermined, nonlinear equation system in Python

Here's a minimal example of my problem - solved with scipy.optimize.leastsq from scipy.optimize import leastsq from numpy import array, exp, sin, cos def MatrixFun(x, *par): a, b, c, d = par ...
Felix's user avatar
  • 117
1 vote
1 answer
810 views

Eigenvectors in Numpy: Very bad numerics? Did I do something wrong?

For some calculations I need an eigenvalue decomposition. Now I tried to evaluate the functions of numpy and noticed that there is a very bad behavior! Look at this: import numpy as np N = 3 A = np....
varantir's user avatar
  • 6,854
4 votes
5 answers
21k views

Code to solve determinant using Python without using scipy.linalg.det

Description(this is a hwk question): I am not sure where to start here. I plan to use Laplace's Expansion but I am not sure how to implement it for nxn matrices. Any help would be appreciated. Note:...
theAngryPhysicist's user avatar