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Questions tagged [eigenvalue]

The eigenvalue is the factor by which the eigenvector is scaled when multiplied by the matrix.

The eigenvectors of a square matrix are the non-zero vectors that, after being multiplied by the matrix, remain parallel to the original vector. For each eigenvector, the corresponding eigenvalue is the factor by which the eigenvector is scaled when multiplied by the matrix. The prefix eigen- is adopted from the German word "eigen" for "own"[1] in the sense of a characteristic description. The eigenvectors are sometimes also called characteristic vectors. Similarly, the eigenvalues are also known as characteristic values.

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Finding the smallest negative eigenvalue if the eigenvalues are complex

I want find in matlab ,the smallest negative eigen value,from complex eigenvalues ,of a squaure matrix (5,5) with all the entries of the matrix are complex .The answer should be real value.So how can I do this im matlab?.
user1079331
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Why is numpy saying that my totally positive matrix is not positive semi-definite?

I generate a correlation matrix by drawing from a uniform distribution: corr = np.random.uniform(low=0.1, high=0.3, size=[20, 20]) and set the main diagonal elements to one corr[np.diag_indices_from(corr)] = 1 Then, I make the correlation matrix…
Michael
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How to generate random matrices for given eigenvalues in matlab?

Is there an easy way to generate random matrices, all with eigenvalues that I'll choose?
N_A
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eigenvalues and eigenvectors scipy

I was wondering which method does [scipy.sparse.linalg.eigs][1] actually implement to calculate the first k eigenvalues and eigenvectors. I found this http://en.wikipedia.org/wiki/List_of_numerical_analysis_topics#Eigenvalue_algorithms but which one…
awadhesh14
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How to solve for eigenvectors of a 2x2 Matrix using Java

I'm trying to solve for the eigenvectors of a 2x2 matrix. As of right now, I'm only considering real matrices whose eigenvectors and eigenvalues are also real. I'm currently having issues solving for the eigenvectors. This is what I have so…
Diego De La Vega
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Writing a script for finding the largest and second largest eigenvectors of a symmetric matrix

[I posted this in math.stackexchange and was told it would be better suited here.] For a final project in my linear algebra intro, I have been tasked with writing a script that finds the largest and the second largest eigenvectors of a symmetric…
Heath Huffman
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if statement in r?

I am not sure what I am doing wrong here. ee <- eigen(crossprod(X))$values for(i in 1:length(ee)){ if(ee[i]==0:1e^-9) stop("singular Matrix")} Using the eigen value approach, I am trying to determine if the matrix is singular or not. I am…
Falcon-StatGuy
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Finding eigenvalues in MATLAB without using eig function

I'm trying to find eigenvalues of a matrix without using eig function (my homework says so). In Matlab, I define the matrix and identity matrix. But I cannot set up this equation: A - x*I x here is lambda, A is the matrix that I should find…
gzg
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Matlab Principal Component Analysis (eigenvalues order)

I want to use the "princomp" function of Matlab but this function gives the eigenvalues in a sorted array. This way I can't find out to which column corresponds which eigenvalue. For Matlab, m = [1,2,3;4,5,6;7,8,9]; [pc,score,latent] =…
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How to obtain eigen vectors from particular eigen values using R?

Example: I have 20 eigen values and i have chosen 10 as best eigen values. For these 10 values I need to find eigen vectors seperately.How to do? I am new to R programming. Expecting your reply.
Revathi shankar
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Java library eigenvalues float numbers

Hi I have the Jama librarry, but this libraray work only with Double numbers..and its very slow. for Android app ..and finally i dont need so high precision of eig decomp..so is there some JAva libaray with float num.....similar in syntax with jama?…
Luke Numerati
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