I am looking for finding or rather building common eigenvectors matrix X between 2 matrices A and B such as : AX=aX with "a" the diagonal matrix corresponding to the eigenvalues BX=bX wi...

Given a "shape" drawn by the user, I would like to "normalize" it so they all have similar size and orientation. What we have is a set of points. I can approximate the size using bounding box or ci...

As far as I understand, there is classical eigenvector centrality and there are variants such as Katz centrality or PageRank. I wonder if the latter is the "latest stage" in the evolution of eigenv...

I have two matrices for which part of the eigenspectrum of one matrix, very closely resembles the eigenspectrum of another matrix, but the only way I'm (currently) able to verify this is quite inel...

Here are two assumptions about eigenvectors and eigenvalues of square matrices. I believe that both are true: If a matrix is symmetric and contains only real values, then it is a Hermitian matrix,...

Background Here's a video of a song clip from an electronic song. At the beginning of the video, the song plays at full speed. When you slow down the song you can hear all the unique sounds that th...

I have a ~3000x3000 covariance-alike matrix on which I compute the eigenvalue-eigenvector decomposition (it's a OpenCV matrix, and I use cv::eigen() to get the job done). However, I actually only ...

The following example gives different results obtained with eigenvector_centrality and eigenvector_centrality_numpy. Is there a way to make such calculation more robust? I'm using networkx 2.4, num...

What is the easiest and fastest way (with some library, of course) to compute k largest eigenvalues and eigenvectors for a large dense matrix in C++? I'm looking for an equivalent of MATLAB's eigs ...

I'm trying to calculate the eigenvectors and eigenvalues of this matrix import numpy as np la = 0.02 mi = 0.08 n = 500 d1 = np.full(n, -(la+mi), np.double) d1[0] = -la d1[-1] = -mi d2 = np.full...

I am trying to compute few (5-500) eigenvectors corresponding to the smallest eigenvalues of large symmetric square sparse-matrices (up to 30000x30000) with less than 0.1% of the values being non-z...

I am trying to calculate the eigenvectors of many 3x3 matrices using python. My code in python is based on code from Mathematica which uses the Eigenvector[] function. I have tried using the eig() ...

I want to find the common eigenvectors of two symmetric matrices with the same dimension in R Assuming two matrices L1 and L2 I am looking for vector X such that L1*X = (landa)L2*X where land...

what is the fastest method to calculate this, i saw some people using matrices and when i searched on the internet, they talked about eigen values and eigen vectors (no idea about this stuff)...the...

I'm writing an algorithm with a lot of steps (PCA), and two of them are finding eigenvalues and eigenvectors of a given matrix. I do not wish to write the whole code for it because I know it is a ...

I'm writing some code that involves finding the eigenvectors of a given matrix, and was surprised that Ruby produces some unreasonable results in simple cases. For example, the following matrix ha...

I am using princomp in R to perform PCA. My data matrix is huge (10K x 10K with each value up to 4 decimal points). It takes ~3.5 hours and ~6.5 GB of Physical memory on a Xeon 2.27 GHz processor. ...

I am trying to convert pcl pointXYZ to eigen vector Eigen::Vector4f min (minPnt.x, minPnt.y, minPnt.z); Eigen::Vector4f max (maxPnt.x, maxPnt.y, maxPnt.z); where minPnt and maxPnt are of type ...

I have N eigenvalues in column vector form. Thus there are N eigenvectors corresponding to these eigenvalues, forming an eigenvector matrix. Now, the problem I am working on requires me to sort t...

I am writing a program in Python that uses numpy.linalg.eigh to diagonalize a Hermitian matrix (a Hamiltonian). I diagonalize many such matrices and use the resultant eigenvector matrices for multi...

#eigen values and vectors a <- matrix(c(2, -1, -1, 2), 2) eigen(a) I am trying to find eigenvalues and eigenvectors in R. Function eigen works for eigenvalues but there are errors in eigenvec...

I test the theorem that A = Q * Lambda * Q_inverse where Q the Matrix with the Eigenvectors and Lambda the Diagonal matrix having the Eigenvalues in the Diagonal. My code is the following: import...

I've been doing some Geometrical Data Analysis (GDA) such as Principal Component Analysis (PCA). I'm looking to plot a Correlation Circle... these look a bit like this: Basically, it allows to m...

Consider the real, symmetric matrix S = (2, 1; 1, 2) From the characteristic equation |S - λ I|, we have the quadratic (2-λ)^2 - 1 = 0, whose solutions yield the eigenvalues 3 and...

I'm trying to set custom gradients using tf.py_func and tf.RegisterGradient. Specifically, I'm trying to take a gradient of an eigen value w.r.t its Laplacian. I got the basic thing working, where ...