
Table of contents
addCol - linear
combination of matrix columns
addRow - linear
combination of matrix rows
adjoint - Adjoint
of a matrix
angle - The angle
between two vectors
basis - basis for a
vector space
charmat -
characteristic matrix
charpoly -
characteristic polynomial of a matrix
col - extract columns
of a matrix
companion -
Companion matrix of a univariate polynomial
concatMatrix -
join matrices horizontally
crossProduct -
cross product of three-dimensional vectors
curl - curl of a
vector field
delCol - delete
matrix columns
delRow - delete
matrix rows
det - determinant of a
matrix
divergence -
divergence of a vector field
eigenvalues -
eigenvalues of a matrix
eigenvectors -
eigenvectors of a matrix
expr2Matrix -
construct a matrix from equations
factorCholesky - the
Cholesky decomposition of a matrix
factorLU -
LU-decomposition of a matrix
factorQR -
QR-decomposition of a matrix
frobeniusForm -
Frobenius form of a matrix
gaussElim -
Gaussian elimination
gaussJordan -
Gauss-Jordan elimination
grad - vector
gradient
hermiteForm -
Hermite normal form of a matrix
hessenberg -
Hessenberg matrix
hessian - Hessian
matrix of a scalar function
hilbert - Hilbert
matrix
intBasis - basis
for the intersection of vector spaces
inverseLU -
computing the inverse of a matrix using LU-decomposition
invhilbert -
inverse of a Hilbert matrix
isHermitean -
checks whether a matrix is Hermitean
isPosDef - test a
matrix for positive definiteness
isUnitary - test
whether a matrix is unitary
jacobian -
Jacobian matrix of a vector function
jordanForm -
Jordan normal form of a matrix
matdim - dimension
of a matrix
matlinsolve -
solving systems of linear equations
matlinsolveLU
- solving the linear system given by an LU decomposition
minpoly - minimal
polynomial of a matrix
multCol - multiply
columns with a scalar
multRow - multiply
rows with a scalar
ncols - number of
columns of a matrix
nonZeros - number
of non-zero elements of a matrix
normalize -
normalize a vector
nrows - number of
rows of a matrix
nullspace - basis
for the null space of a matrix
ogCoordTab -
table of orthogonal coordinate transformations
orthog -
orthogonalization of vectors
permanent -
permanent of a matrix
pseudoInverse
- Moore-Penrose inverse of a matrix
randomMatrix -
generate a random matrix
rank - rank of a
matrix
row - extract rows of a
matrix
scalarProduct
- scalar product of vectors
setCol - change a
column of a matrix
setRow - change a
row of a matrix
smithForm - Smith
canonical form of a matrix
stackMatrix -
join matrices vertically
submatrix -
extract a submatrix or a subvector from a matrix or a vector,
respectively
substitute -
replace a part of a matrix by another matrix
sumBasis - basis
for the sum of vector spaces
swapCol - swap two
columns in a matrix
swapRow - swap two
rows in a matrix
sylvester -
Sylvester matrix of two polynomials
tr - trace of a
matrix
transpose -
transpose of a matrix
vandermondeSolve -
solve a linear Vandermonde system
vecdim - number of
components of a vector
VectorOf - type
specifier for vectors
vectorPotential -
vector potential of a three-dimensional vector field
wiedemann -
solving linear systems by Wiedemann's algorithm
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2000