Fast Eigenvalue Computation of Massive 3-by-3 Real Symmetric Matrices by Max W.K. Law

For multiple 3x3 real symmetric matrices, vectorized matrix operations, support GPU computation (3x3 matrix, eigen, eigendecomposition)

eigenvaluefield33( a11, a12, a13, a22, a23, a33)

Point cloud normal vector by Jered Wells

NORMND computes the vector normal to points in an N-D point cloud (eigenvector, eigenvalue, normal)

normnd(data,varargin)

Collocation-based spectral-element toolbox by Nathaniel Jewell

Functions and example codes for a collocation spectral-element scheme (Chebyshev or Legendre) (numerical, spectral, pseudospectral)

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[x,D]=legDc(N);

Symmetric eigenvalue decomposition and the SVD by Yuji Nakatsukasa

Eigendecomposition of a symmetric matrix or the singular value decomposition of an arbitrary matrix (mathematics, matrix, eigenvalue)

qdwh(A,alpha,L,piv)

qdwheig(H,normH,minlen,NS)

qdwhsvd(A,a,b,minlen,NS);

Laplacian in 1D, 2D, or 3D by Andrew Knyazev

Sparse (1-3)D Laplacian on a rectangular grid with exact eigenpairs. (2d, 3d, laplacian)

laplacian(varargin)

Significance of Singular Values by Iftekhar Tanveer

This matlab code is intended to demonstrate the interpretation of the singular values (singular valued decom..., svd, meaning)

Information_Content.m

Extracting Simulink State Definition (Example 1) by Dan Lluch

Explores how Simulink defines its states and what you can do once you know that definition. (simulink, state, order)

Example1.m

getstatenames(mdl)

Perron root computation by Aravind Seshadri

An algorithm that computes the Perron root and Perron vector for an irreducible non-negative matrix. (linear algebra, matrix computation, eigenvalue)

perron(varargin)

Principal components analysis (PCA) by Siqing Wu

Principal components analysis (PCA) (pca, principal components ..., probability)

pca(X, N, method)

eigND - n-dimensional eigenvalues by Neil Sims

Eigenvalues of a real non-symmetric N-dimensional matrix (linear algebra, eig, eigenvalue)

eigND(varargin)

Gershgorin Discs Plot by Mario Berges

This function plots the Gershgorin Discs for the matrix A passed as an argument. It will also plot t (circles, linear algebra, gershgorin)

gershdisc(A)

Augmented Householder Eigenvalue Solver by James Baglama

Computes a few eigenvalues and eigenvectors of a nonsymmetric matrix. (linear algebra, arnoldi, block)

ahbeigs(varargin)

Power iteration to find max/min eigenvalue/vector by Steven Huang

This is an c-mex function to find the max/min eigenvalue/vector. (eigenvalue, power method, linear algebra)

error_ellipse by AJ Johnson

Plot an error ellipse depicting confidence interval given a covariance matrix. (confidence, ellipse, covariance)

h=error_ellipse(varargin)

Field of values by Wilmer Henao

Plots the field of values of a square complex matrix. (linear algebra, field of values, eigenvalue)

fovals(A,k)