
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