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

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);

System of linear congruences by Mike Sheppard

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

x=lincon(a,b,n)

Galois Field Library by David Blatsky

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

Elem.m

Field.m

lobpcg.m by Andrew Knyazev

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

...

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)

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)

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

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)

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

subspace.m by Andrew Knyazev

Angle between subspaces. (angle, subspaces, linear algebra)

subspace(A,B)

ortha.m by Andrew Knyazev

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

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

Multiple-root polynomial solved by partial fraction expansion by Feng Cheng Chang

To find poles/residues of the rational function, instead of roots/multiplicities of the polynomial (mathematics, communications, control design)

polyroots(p)

Conjugate Gradient Method by Yi Cao

Conjugate Gradient Method to solve a system of linear equations (linear algebra, linear equation, mathematics)

conjgrad(A,b,tol)

EliminateConstraints by Andrew Jackson

Eliminates variables from a problem with linear equality constraints to give an unconstrained proble (linear algebra, contraint, linear)

[C,d]=eliminateConstraints(A,b)

LCP / MCP solver (Newton-based) by Yuval

Solve the Linear Complementarity Problem. (lcp, mixed complementarity..., mathematics)

LCP(M,q,l,u,x0,display)

Vandermonde matrix by Siqing Wu

Creating matrix with terms of geometric progression in each row (geometric progression, linear algebra, vandermonde matrix)

vanderm(v,c)

UDFactor by Dmitry Savransky

Performs the U-D factorization of a symmetric matrix. (linear algebra, ud factorization, ud filter)

UDFactor(P,uflag)

regtools by Per Christian Hansen

Analysis and Solution of Discrete Ill-Posed Problems. (discrete, illposed, regularization)

app_hh(A,beta,v)

art(A,b,k)

baart(n)

Sort Eigenvectors & Eigenvalues by Calvin Price

Sort a set of eigenvectors and corresponding eigenvalues (eigenvectors, linear algebra, sort)

[P2,D2]=sortem(P,D)

Faddeev-Leverrier Algorithm by Yi Cao

An iterative approach to generate characteristic polynomial coefficients (linear algebra, characteristic polyno..., inverse)

Faddeev-Leverrier Algorithm

[p,Ainv,B]=fadlev(A)

Row Echelon Form by Muhammad Rafiullah Arain

Method for row echelon form of matrix (linear algebra, solution, upper triangular matr...)

ref(a)

Linear equation system 'Ax=r' by Gauss elimination method by Sobhan Rostami

Solve N-equation (gauss elimination, matlab, linear algebra)

Nequation.m

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)

Method of elimination of Gauss with pivoting partial by Giovanni Di Cecca, Virginia Bellino

Solve Linear Equation in format Ax=b (equation, gauss, linear algebra)

[A,B,pivot,det,iflag,x]=myGaussSolve2(A,B)

[max,ip]=maximus(A,k,pivot,n)

[x]=bsLPU(n,A,pivot,B)

adj.m by Paul Godfrey

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

adj(A,mode)

anxp by Antonio Trujillo-Ortiz

Angle of the cross product of two vectors. (linear algebra, angle, cross product)

anxp(A,B)

Rank revealing lu decomposition by Pawel Kowal

calculates rank revealing lu decomposition (linear algebra, lu, rank revealing)

getRank(version,L,U,tol);

null_lu(A)

demo_rrlu.m

MultiSolve 3x3 by Ofek Shilon

Vectorized solve of multiple 3x3 linear systems (linear algebra, linear equation, system)

multisolve3x3(AA,b)

Null space of a sparse matrix by Pawel Kowal

calculates null space and range of a rectangular sparse matrix (sparse matrix, null space, linear algebra)

luq(A,do_pivot,tol)

spspaces(A,opt,tol)

demo.m

newton's algorithm for nnls by Uriel Roque

Solves the linear least squares problem with nonnegative variables using the newton's algorithm (linear algebra, newton, interiorpoint)

newton(A,b,x0,niter)

predictor-corrector algorithm by Uriel Roque

Solves linear least squares with nonnegative variables (predictorcorrector, nvlsq, nnls)

pcnnls(A,b,x0,niter)

Fast Sparse LU substitution by Darren Engwirda

A dedicated mex-file for use with UMFPACK to complete the forward and back substitution quickly (linear algebra, sparse lu substitutio..., umfpack)

LUsubs

symfact.m by Paul Godfrey

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

symfact(a)

Complex Roots Finder by Marco Cococcioni

Computes the n n-th complex roots of a given complex number (complex number, roots, nth)

rootsc(n, x, display)

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)

Levi-Civita Symbol by Bill Davidson

This is an implementation of the Levi-Civita symbol, known as "epsilon i j k" (linear algebra, levicivita symbol, permutation tensor)

[]=levi_civita()

Quaternion data class by Bill Davidson

A Quaternion data class (linear algebra, quaternions, octonions)

[]=complex_equivalent(a,b)

[]=should_be(varargin)

komplex(varargin)

UDU Decomposition by do hyung kim

Operate udu decomposition. (linear algebra, udu decomposition, factorization)

[u,d]=udu(P)

sumdotpack by Alain BARRAUD

qsum & qdot compute quadruple precision sum & dot product, fpsum & fpdot give almost full double. (linear algebra, extended precision, sum dot product)

[ch,cl]=qprod(a,b)

[sh,sl]=qdot(x,y,ch,cl)

[sh,sl]=qsum(x,sh,sl)

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)

Sparse Matrix Multiplication by Christian Walder

Allows you to specify the maximum number of nonzeros before multiplying sparse matrices. (linear algebra, multiplication, multiply)

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)

More Flexible Sorting and Multiplicity of Roots of a Polynomial by Sundar Krishnan

More Flexible Sorting and Multiplicity of Roots of a Polynomial (linear algebra, flexible sorting, multiplicity of roots)

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[Poly_Rts, no_Real_Rts, no_Cmplx_Rts, MN, ...