Laplacian 2.0 by Bryan C. Smith

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

laplacian2(numpts, varargin)

LAI by Erwin Torreao Dassen

A linear algebra over the integers package based on layered lattices. (mathematics, lattices, linear algebra)

LAI

Oblique Subspace Decomposition by Josh Carmichael

Given subspace bases H and S, this finds their oblique projections. (oblique, projection, subspace)

proj2Obliq(H,S)

LU factorization of a square matrix using DooLittle's algorithm by Mazhar Iqbal

Doolittle's algorithm to find LU factors (linear algebra, lu factorization, matrix decomposition)

[L U]=LU_DooLittle(A)

LU factorization of a square matrix using Crout's algorithm by Mazhar Iqbal

function provide LU factors to solve a linear system. (linear algebra, matrix decomposition)

[L U]=LU_Crout(A)

Totally Unimodular by Robert

Checks if a matrix is totally unimodular (determinantlinear alg..., determinant, linear algebra)

tu(A)

Fast Reduced Row Echelon Form by Armin Ataei

A much faster version of MATLAB's RREF (linear algebra, frref, rref)

frref(A,tol,type)

Linear Algebra Package by Brian Moore

Implements many common linear algebra functions in completely self-contained MATLAB code. (matrix theory, eigenvalue computatio..., linear algebra)

myArnoldi(mat,varargin)

myCholesky(mat,varargin)

myCompanionMatrix(c)

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);

Linearity of Points by Chao Huang

Determine the linearity of points, like coinear, coplanar, and so on. (mathematics, linear algebra, geometircs)

linearity(p)

block diagonal representation by David Holdaway

Converts a matrix into a cell array of different sized matrices that make up the blocks. (mathematics, matrix multiplication, block diagonal)

blkdiagconv( matform,blocksizes )

System of linear congruences by Mike Sheppard

Solution to Simultaneous Linear Congruences (linear algebra, congruence, chinese remainder the...)

x=lincon(a,b,n)

circlefit3d - fit circle to three points in 3d space by Johannes Korsawe

Calculate center, radius and plane of circle that passes through three given points (circle, 3d, fit)

circlefit3d(p1,p2,p3)

Multi-preconditioned GMRES by Tyrone Rees

An extension of GMRES which allows the use of multiple preconditioners. (linear algebra, gmres, preconditioning)

mpgmres(A,b,P,type_in,tol,maxits,x0,varargin)

test_mpgmres.m

Galois Field Library by David Blatsky

Library of Linear Algebra functions over Finite Fields (galois field, finite field, linear algebra)

Elem.m

Field.m

Gauss elimination with complete pivoting by Nickolas Cheilakos

This function calculate Gauss elimination with complete pivoting (gauss, gaussian, linear algebra)

gecp(A)

Superkron by Jean-Daniel

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

superkron(varargin)

lobpcg.m by Andrew Knyazev

LOBPCG solves Hermitian partial generalized eigenproblems using preconditioning, competes with eigs (linear algebra, symmetric, partial)

...

Don't let that INV go past your eyes; to solve that system, FACTORIZE! by Tim Davis

A simple-to-use object-oriented method for solving linear systems and least-squares problems. (factorization, backslash, mldivide)

cod (A, tol)

cod_qmult (Q, X, method)

cod_sparse (A, arg)

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)

subspacea.m by Andrew Knyazev

Angles between subspaces. Canonical correlations. (linear algebra, principal, angle)

subspacea(F,G,A)

Polynomial division by convolution -- up to finite terms by Feng Cheng Chang

Division of two polynomials by convolution to get up to K terms. (convolution matrix, longhand division, polynomial division)

polydiv_Z(b,a,K,c)

Polynomial division by convolution - quotient and reminder by Feng Cheng Chang

Division of two polynomials to get quotient and reminder using convolution matrix. (polynomial division, longhand division, linear algebra)

polydiv_H(b,a,c)

Intersection of linear subspaces by Ondrej

Function for finding the basis of the intersection of N subspaces (intersection, subspace, linear algebra)

findIntersect(varargin)

Plotting planes and their intersection in 3D by Ondrej

Function 'plotPlanes' plots planes/lines in 3D; 'plotIntersection' plots intersection of the planes. (planes, intersection, linear algebra)

findIntersect(varargin)

ismatrix(a)

plotIntersection(varargin)

Elimination Matrices and Inverse by Olawale Akinwale

Use the file to find the elimination matrices and inverse using Gauss Jordan elimination (linear algebra, mathematics)

eMatrices(A)

trilin by Felipe G. Nievinski

Facilitates the reuse of matrix factorizations in large dense linear algebra problems. (linear algebra, cholesky, inv)

chol2(varargin)

cputime_res

cputime_tol

Rank-Revealing QR factorization by Ivo Houtzager

Rank-Revealing QR factorization of an array (linear algebra, rankrevealing qr fact..., mathematics)

make_rrqr.m

rrqrx.m

rrqry.m

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)

Matrices program with a script for eigenvalues perturbations by Emanuele Natale

Some simple programs and a script, that could be usefull using "Trajectories of eigenvalues" (matrices, linear algebra, eigenvalues)

A=matrix

A=randint(m,n,r)

A=turn(alpha)

Least squares with minimum-norm solution by Ivo Houtzager

Least squares with minimum-norm solution (squares, minimum, linear algebra)

lsmin.m

lsmind.m

make_lsmin.m

QR/RQ/QL/LQ factorizations by Ivo Houtzager

QR/RQ/QL/LQ factorizations of an array. (ql, lq, rq)

lq.m

make_factor.m

ql.m

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)

Least-square with 2-norm constraint by Bruno Luong

Minimize |A*x-b|^2 such that |x| = cte (linear algebra, regularization, quadratic)

spherelsq(A,b,xnorm)

spherelsq_demo.m

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)

LU factorization with complete pivoting. by Nick Henderson

An implementation of algorithm 3.4.2 from Matrix Computations. (linear algebra, lu, factorization)

lucp(A,tol,pm_opt)

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)

Polynomial Square Root by Andre Fioravanti

Finds the square root of a polynomial. (linear algebra, mathematics, polynomials)

polysqrt(p)

Full Rank Factorization by Calvin Price

Performs a full rank factorization, X=KL (linear algebra, full rank factorizati..., full rank decompositi...)

frd(X)

lapack by Tim Toolan

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

lapack(varargin);

lapackhelp(func)

GCD of Polynomials by Feng Cheng Chang

Find polynomial GCD by "Leading-coefficient Elinimation" (linear algebra, polynomial gcd, euclid algorithm)

poly_gcd(p,q)

Gaussian Elimination Example (with partial pivoting): GEE, it's simple! by Tim Davis

A set of simple functions that illustrate Gaussian Elimination with partial pivoting (gaussian elimination, partial pivoting, tutorial)

gee_its_short (A, b)

gee_its_simple (A, b)

gee_its_simple_backsolve (U, b)

Quaternion Toolbox by Jay St. Pierre

Vectorized quaternion functions (quaternion, quaternions, linear algebra)

R=q2dcm(q)

[v,phi]=qdecomp(q)

q=dcm2q(R)

plot_feasible.m by Matthew Roughan

plot_feasible.m is a simple bit of code for visualizing 2D linear programming problems. (linear programming, hatch, hatching)

[sorted_vertices, ...

plot_feasible_test.m

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)

proj by Antonio Trujillo-Ortiz

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

proj(a,b)