About

This is a simple JavaScript Library for computing eigenvalues, eigenvectors for real symmetric matrix. Uses Jacobi method to perform diagonalization.

Working Demo (uses webworker for parallel computation)

Check this Demo to see for yourself! https://arkajitmandal.github.io/DiagonalizeJS/

Using single threaded Library

Note : If you are using this in your app, the browser might freeze if the matrix size is too big (N>25).

<script type="text/javascript" src="jacobi.js"></script>

Use multi-threaded version instead for N>25, code is in jacobi_worker.js. See the index.html and main.js for implementing the multithreaded version.

Basic Usage

Hij = [[0.2,0.1],[0.1,1.1]] 
Out = diag(Hij)
E = Out[0];
U = Out[1];

Slighly "Advanced" Usage

Hij = [[0.2,0.1],[0.1,1.1]] 
\\ sencond parameter is for numerical precision 
Out = diag(Hij,1E-16) 
E = Out[0]; \\ energies sorting from low to high
U = Out[1]; \\ corresponding wavefunction | U[:][0] is the ground state wavefunction
\\ you can reduce the sencond parameter to reduce accuracy but get results faster
Out = diag(Hij,1E-4) 
E = Out[0];
U = Out[1];

---

Arkajit Mandal University of Rochester