2.13.2 Commands and Functions for MAT |
adj | classical adjoint matrix (also known as adjugate) |
AdjacentMinors | list of adjacent minors of a matrix |
AlmostQR | QR decomposition of a matrix |
ApproxPointsNBM | Numerical Border Basis of ideal of points |
BlockMat | create a block matrix |
BlockMat2x2 | create a block matrix with 4 matrices |
CharPoly | characteristic polynomial of a matrix |
ConcatAntiDiag | create a simple block matrix |
ConcatDiag | create a simple block matrix |
ConcatHor | create a simple block matrix |
ConcatHorList | create a simple block matrix |
ConcatVer | create a simple block matrix |
ConcatVerList | create a simple block matrix |
det | the determinant of a matrix |
eigenfactors | eigenfactors of a matrix |
eigenvectors | eigenvalues and eigenvectors of a matrix |
ElimHomogMat | matrix for elimination ordering |
ElimMat | matrix for elimination ordering |
eval | substitute numbers or polynomials for indeterminates |
FGLM5 | perform a FGLM Groebner Basis conversion |
FrobeniusNormSq | Frobenius norm of a matrix |
GetCol | convert a column of a matrix into a list |
GetCols | convert a matrix into a list of lists |
GetRow | convert a row of a matrix into a list |
GetRows | convert a matrix into a list of lists |
GFanContainsPositiveVector | ... |
GFanGeneratorsOfLinealitySpace | ... |
GFanGeneratorsOfSpan | ... |
GFanGetAmbientDimension | ... |
GFanGetCodimension | ... |
GFanGetDimension | ... |
GFanGetDimensionOfLinealitySpace | ... |
GFanGetFacets | ... |
GFanGetImpliedEquations | ... |
GFanGetUniquePoint | ... |
GFanRelativeInteriorPoint | relative interior point of a cone |
GraverBasis | Graver basis |
HadamardBoundSq | Hadamard bound for determinant |
HilbertBasisKer | Hilbert basis for a monoid |
HilbertSeriesMultiDeg | the Hilbert-Poincare series wrt a multigrading |
IdealOfPoints | ideal of a set of affine points |
IdealOfProjectivePoints | ideal of a set of projective points |
inverse | multiplicative inverse of matrix |
IsAntiSymmetric | checks if a matrix is anti-symmetric |
IsDiagonal | checks if a matrix is diagonal |
IsPositiveGrading | check if a matrix defines a positive grading |
IsSymmetric | checks if a matrix is symmetric |
IsTermOrdering | check if a matrix defines a term-ordering |
IsZero | test whether an object is zero |
IsZeroCol, IsZeroRow | test whether a column(row) is zero |
IsZeroDet | test whether determinant is zero |
LinKer | find the kernel of a matrix |
LinKerBasis | find the kernel of a matrix |
LinKerZZ | find the kernel of a matrix |
LinSolve | find a solution to a linear system |
MakeTermOrdMat | Make a term order matrix from a given matrix |
matrix | convert a list into a matrix |
minors | list of minor determinants of a matrix |
MinPoly | minimal polynomial of a matrix |
NewFreeModule | create a new FreeModule |
NewPolyRing | create a new PolyRing |
NmzDiagInvariants | ring of invariants of a diagonalizable group action |
NmzFiniteDiagInvariants | ring of invariants of a finite group action |
NmzHilbertBasis | Hilbert Basis of a monoid |
NmzHilbertBasisKer | Hilbert basis for a monoid |
NmzIntersectionValRings | intersection of ring of valuations |
NmzTorusInvariants | ring of invariants of torus action |
NumCols | number of columns in a matrix |
NumRows | number of rows in a matrix |
operators, shortcuts | Special characters equivalent to commands |
pfaffian | the Pfaffian of a skew-symmetric matrix |
power | compute a power |
PreprocessPts | Reduce redundancy in a set of approximate points |
product | the product of the elements of a list |
RingOf | the ring of the object |
RingsOf | list of the rings of an object |
rk | rank of a matrix or module |
rref | reduced row echelon form of a matrix |
SetCol | set a list as a column into a matrix |
SetEntry | set an entry into a matrix |
SetRow | set a list as a row into a matrix |
submat | submatrix |
sum | the sum of the elements of a list |
SwapCols | swap two columns in a matrix |
SwapRows | swap two rows in a matrix |
toric | saturate toric ideals |
transposed | the transposition of a matrix |