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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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How to calculate eigenvalues without using external packages

I'm trying to create an application in java which does several matrix modifications like calculating the invereses and determinants. Now I would also like to include the option for the application to calculate the eigenvalues and the eigenvectors…
borisjo
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Number of iterations of scipy.sparse.linalg.eigs

Is it possible to find out how many iterations it took eigs/eigsh to converge?
Milan Hanus
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Eigen Analysis of this matrix in R

I'm doing eigen analysis of given matrix P in R. My MWE is Minimum working example P <- matrix( data= c( 1, 0, 0, 0 , 0.4, 0, 0.6, 0 , 0.2, 0, 0.1, 0.7 , 0, 0, 0, 1 ) , nrow=4 , ncol=4 , byrow=TRUE …
MYaseen208
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Is there any way to generate a random real matrix with all complex eigenvalues in Matlab?

How can we randomly create a real squared matrix A and all of its eigenvalues are complex number λ=a+bi in Matlab?
Patrick48
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Finding Value of Parameter that makes Eigenvalue equals to Zero (Matlab)

Lets say I have a 2x2 matrix {b+2 b} {-4 5} How should I approach this problem using Matlab to find the values of b where it gives me the eigenvalue is 0?
Candy Man
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GSL Eigen Value Code

I am working with GSL right now. I am facing some problem in finding Eigenvalues. It seems that GSL is not properly giving eigenvalues in case of symmetric matrices. I gave the input of certain symmetric matrices that ought to have 0 as an…
user3422764
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EigenValue and EigenVector Java Implementation

I'm implementing metric learning algorithm, I want to reduce the dimension of the data. I am using Java and libraries (Jama) to implement, and PCA to reduce the dimension. When I used the eig from Jama library to get eigenvalues, it takes a lots of…
saha
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Eigen Values from Matlab

I'm trying to figure out Eigenvalues/Eigenvectors for large datasets in order to compute the PCA. I can calculate the Eigenvalues and Eigenvectors for 2x2, 3x3 etc.. The problem is, I have a dataset containing 451x128 I compute the covariance…
Phorce
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Finding the knee point in an eigenvalue plot

I want to automatically find the "knee" point of the eigenvalue plot. I.e. I have a vector of eigenvalues (sorted from highest to lowest) and I want some heuristic to find the "knee" point. Is there some heuristic for doing that I've found the two…
BlackHawk
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Vectorization of matlab code for faster execution

My code works in the following manner: 1.First, it obtains several images from the training set 2.After loading these images, we find the normalized faces,mean face and perform several calculation. 3.Next, we ask for the name of an image we want to…
prashanth
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Eigenvalues of huge matrices

I have two 50,000 x 50,000 symmetric real matrices A and B (double precision) which are non-sparse (55% non-zero). B is positive-definite. I have this generalized eigenproblem: A v = µ B v I need to find 3 - 4 of the smallest algebraic eigenvalues…
Ystar
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Find Image SVD without using SVD command

My question is pretty simple but I am new to SVD analysis. My final goal will be to implement denoise an Image using SVD but at the moment of time I am trying to comprehend the concept of Singular value decomposition. As the title suggest , I want…
MariaS
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How do I reduce a symmetric matrix to a tridiagonal matrix with the same eigenvalues?

I have a symmetric matrix found from the following commands: a=rand(n); A=triu(a)+triu(a,1)' I was wondering how I reduce this symmetric matrix into a tridiagonal matrix? Any help is appreciated. Thank you very much.
user3553714
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Ifort mkl lapack eigenvalue

I am using ifort 14.0, mkl and the f95 lapack interfaces to do some eigenvalue decompositon. The function I am using currently is DSYEV_F95, which is called either: call DSYEV_F95(A=RMEigenVectors,W=RVEigenValues,Info=ISTmp& …
user1407220
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get eigenvalue from image using opencv

how I can get eigenvalue from input image using Open CV? I need that eigenvalue to process poses from my image. when I get eigenvalue from image, I will put it in to my database. after that I could compute eigenvalue from real time camera so I can…
huhuhu
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