Laplacian 2.0 by Bryan C. Smith

(1-3)D sparse Laplacian matrices with eigenvalues and eigenvectors. (laplacian, eigenvalues, eigenvectors)

laplacian2(numpts, varargin)

Cofactor Matrix Generator by Angelica Ochoa

Generates a matrix of cofactor values for an M-by-N matrix. (cofactor, mathematics, linear algebra)

cof=cof(a);

Superkron by Jean-Daniel

An implementation of the kronecker product for multidimensional arrays. (kron, matrix, linear algebra)

superkron(varargin)

pcg.m with 'null' and 'flex' options by Andrew Knyazev

Preconditioned Conjugate Gradients handles homogeneous equations and nonsymmetric preconditioning (linear algebra, preconditioned, conjugate)

pcg(A,b,tol,maxit,M1,M2,x0,opts1,opts2,varargin)

Trajectories of eigenvalues by Emanuele Natale

Program that plots the changing eigenvalues obtained progressively adding a matrix B to a matrix M. (matrix, eigenvalues, perturbations)

A=randint(m,n,r)

perteig(M,B,T)

randevoeig(n,kA,kB,T)

Extra-diagonal modifications of eigenvalues by Emanuele Natale

The program plots the trajectories of eigenvalues of a matrix from its diagonal (matrix, linear algebra, eigenvalues)

ploteig(A,T)

Multiple matrix multiplications, with array expansion enabled by Paolo de Leva

Multiplying matrices, vectors, or scalars contained in two N-D arrays, with array expansion enabled. (arraylab, singleton expansion, vector)

arraylab13(a,b,d1,d2)

arraylab131(a,b,d1,d2)

arraylab132(a,b,d1,d2)

Sparse null space and orthogonal by Bruno Luong

NULL space and ORTHOGONAL basis for sparse matrix (sparse, matrix, linear algebra)

spnull(S, varargin)

sporth(S)

Difference Matrix by Zachary Danziger

Builds the matrix that takes the column-wise difference of another matrix when post-multiplied. (linear algebra, matrix, difference)

diffMat(obs,type)

Zernike Polynomial Coefficients for a given Wavefront using Matrix Inversion in Matlab by Christopher Wilcox

Calculation of Zernike Polynomial Coefficients for a given Wavefront using Matrix Inversion (zernike, polynomials, wavefront)

zernike_coeffs(phi, M)

Vectorized Transpose Matrix by Zachary Danziger

Creates an orthogonal permutation matrix for tensor and linear algebra manipulations. (linear algebra, tensor, mathematics)

TvecMat(m,n)

Symbolic Matrix by Zachary Danziger

Creates a matrix composed of properly indexed symbolic elements. (mathematics, linear algebra, symbolic math)

symMat(dims,Mname,type)

lapack by Tim Toolan

Easily call any LAPACK or BLAS routine from inside Matlab. (blas, function, lapack)

lapack(varargin);

lapackhelp(func)

proj by Antonio Trujillo-Ortiz

Projection of a vector A onto vector B. (projection, vector, linear algebra)

proj(a,b)

n-Mode Tensor - Matrix Product by Fabian Schneiter

Calculates the n-mode product between a tensor and a matrix. (nmode, matrix, tensor)

nmodeproduct(A,M,n)

ortha.m by Andrew Knyazev

Orthonormalization Relative to matrix A (linear algebra, orthonormalization, relative)

[Q,varargout]=ortha(A,X)

Triangular and diagonal indexing by Bruno Luong

A collection of functions to index diagonal and triangular parts of the matrix (indexing, diagonal, matrix)

DiagM(n)

DuplicationM(n, option)

EliminationM(n, varargin)

Vector algebra for arrays of any size, with array expansion enabled by Paolo de Leva

Multiple dot, cross, and outer products, cross divisions, norms, normalizations, projections, etc. (linear algebra, projection, algebra)

cross2(a, b, idA, idB)

crossdiv(varargin)

dot2(a, b, idA, idB)

CIRCULANT (v2.0, feb 2009) by Jos (10584)

(yet another, but fast) Circulent Matrix (matrix, matrix manipulation, matrices)

circulant(A,d)

h_trid by Matt Fig

Uses the Householder method to tridiagonalize a matrix. (linear algebra, tridiagonalize househ..., symmetric)

h_trid(A)

shift by John T. McCarthy

SHIFT a row or column RELATIVE to the other elements in a MATRIX. (matrices, shift, matrix)

shiftd(A,column,shift,type)

shiftl(A,row,shift,type)

shiftr(A,row,shift,type)

UFget: MATLAB interface to the UF sparse matrix collection by Tim Davis

Downloads sparse matrices from the web directly into the MATLAB workspace, from a vast range of real (linear algebra, sparse, matrix)

UFget (matrix, UF_Index)

UFget_defaults

UFget_lookup (matrix, UF_Index)

successive under/over relaxation by Daniel Cortes

solves the linear system Au=F using successive over/under relaxation. WhereA is diagonally dominant (linear algebra, gauss seidel, successive)

sor(A,F,w,u0,dtol,itmax)

determinant of a 3 by 3 matrix in simulink by Nassim Khaled

This code evaluates the determinant of a 3 by 3 matrix in simulink (linear algebra, determinant, 3 by 3)

Determinant_sim

OLS by Marco Cococcioni

This functions implements the algorithm of Orthogonal Least Squares. It can be used to rank regresso (ols, functions, linear algebra)

ols(A,b,r,threshold)

eigND - n-dimensional eigenvalues by Neil Sims

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

eigND(varargin)

Data scaling by Ani

Program to scale the values of a matrix from a user specified minimum to a user specified maximum (linear algebra, scale, scaling data)

scaledata(datain,minval,maxval)

matrixop by David Gleich

A Matlab object that acts just like a matrix but represents a linear operator as a function. (linear algebra, matrix, class)

Sparse Toeplitz matrix construction by Toby Driscoll

Produces a sparse Toeplitz matrix given only the first row and column, like built-in Toeplitz. (linear algebra, sparse, toeplitz)

sptoeplitz(col,row)

Defining Cartesian Reference Frames based on Point Positions by Paolo de Leva

Versatile algorithm defining Cartesian reference frames based on the positions of at least 3 points (mechanical modeling, cartesian coordinate ..., reference frame)

ARF(P, segname, side, varargin)

footBAF(HEEL, MET1, MET5, MET2, side, varargin)

frame(a, b, axis1, c, axis2, dim)

Dett by Paul Godfrey

Computes the determinant of non-square matrices. (determinant, dett, det)

dett(A, method)

dots by Philippe Maincon

Multiple matrix-matrix products, or general operations on cartesian tensors (linear algebra, multiprod, multiple)

TryDots.m

dots.m

adj.m by Paul Godfrey

Finds the adjoint of any rectangular matrix (adjoint, adjugate, linear algebra)

adj(A,mode)

Adjugate (adjoint) of a Square Matrix by Roger Stafford

Calculates the adjugate (adjoint) matrix for a square matrix. (adjoint, cofactors, adjugate)

det(u*v')*v*diag(prod(reshape(s0(ix),n-1,n),1))*u'; % ---

Fast sparse matrix vector product by Darren Engwirda

sparse matrix vector product (linear algebra, sparse, matrix)

smvp

symfact.m by Paul Godfrey

A function for performing matrix symmetrical factoring. (linear algebra, matrix, symmetrical)

symfact(a)

Gauss-Jordan Elimination with Partial Pivoting by Miguel D. B.

Gauss-Jordan Elimination with Partial Pivoting (gauss, matrix, jordan)

[A,t]=elimgauss03(A)

diagonal by Miguel D. B.

Returns a vector with the main diagonal of a matrix. Similar to the built-in function diag (linear algebra, matrix, diagonal)

B=diagonal01(A)

Matrix Representation of a Linear Transformation by Brhanemedhn Tegegne

Finds the matrix representation of a Linear tranformation (linear algebra, linear tranformation, matrix representation)

L_MAT=LinearTranform(A,B,L,Inner)

Toeplitzmult by Brian Borchers

This package implements fast matrix-vector multiplication for Toeplitz matrices. (linear algebra, toeplitz, structured)

F=toeplitzmultaux(a,b)

y=toeplitzmult(a,b,x)

y=toeplitzmult2(F,x)

Arbitrary Rank Update to Cholesky Factorization by Greg von Winckel

Solves the Cholesky factored system with arbitrary update. (cholesky, matrix, symmetric)

x=cholrankup(R,U,V,b)

Givens rotation by Steven Huang

This is the Givens rotation method in Golub's book. It differs a sign with Matlab's method (givens rotation, matrix, linear algebra)

Data Dimension Reduction by Michael Kleder

Transforms vector data into a subspace of one less dimension, along direction of smallest extent. (linear algebra, vector, data)

[D,R,T]=dimred(X)

invjor by Jordi Soler Penades

Calculates the inverse of a matrix using Jordan-Gauss method. (linear algebra, matrix, inverse)

[U,I]=invjor(A)

LPDU decomposition by Yi Zhang

LPDU decompostion. (linear algebra, lpdu, decomposition)

LPDU(A)

Rotation of the vector around the axe by Sergii Iglin

Rotation of the vector around axe and search of the axe and angle of rotation. (linear algebra, vector, rotation)

GetRotAxeAngle(T)

RotVecArAxe(A,L,Phi)

Linear equations of both full rank and deficient rank by sang bo

lineq can solve any linear equations. (linear algebra, full rank matrix, deficient rank matrix)

[homsol,spsol]=lineq(a,b)

b=rowadd(a,i,j,k)

b=rowechon(a)

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)

Fast Pentadiagonal System Solver by Greg von Winckel

Solves symmetric and asymmetric pentadiagonal systems. (linear algebra, pentadiagonal, 5band)

x=pentsolve(A,b)

Bidiag by Paul Godfrey

Computes upper bidiagonal form of a matrix. (linear algebra, bidiagonalization, matrix)

bidiag(a,mode)