DeterminantalRepresentations : Index
- bivariateDiagEntries -- computes diagonal entries and eigenvalues for a determinantal representation of a bivariate polynomial
- bivariateDiagEntries(..., Tolerance => ...) -- computes diagonal entries and eigenvalues for a determinantal representation of a bivariate polynomial
- bivariateDiagEntries(RingElement) -- computes diagonal entries and eigenvalues for a determinantal representation of a bivariate polynomial
- cholesky -- computes the Cholesky decomposition of a positive semidefinite matrix
- cholesky(..., Tolerance => ...) -- computes the Cholesky decomposition of a positive semidefinite matrix
- cholesky(Matrix) -- computes the Cholesky decomposition of a positive semidefinite matrix
- coeffMatrices -- gets coefficient matrices for a matrix of linear forms
- coeffMatrices(Matrix) -- gets coefficient matrices for a matrix of linear forms
- companionMatrix -- companion matrix of a univariate polynomial
- companionMatrix(RingElement) -- companion matrix of a univariate polynomial
- Determinantal representations of bivariate polynomials
- Determinantal representations of hyperbolic plane cubics
- Determinantal representations of quadrics
- DeterminantalRepresentations -- computing determinantal representations of polynomials
- detRep -- compute determinantal representations
- detRep(..., HyperbolicPt => ...)
- detRep(..., Software => ...)
- detRep(..., Tolerance => ...) -- compute determinantal representations
- detRep(RingElement) -- compute determinantal representations
- generalizedMixedDiscriminant -- computes generalized mixed discriminant of a list of matrices
- generalizedMixedDiscriminant(List) -- computes generalized mixed discriminant of a list of matrices
- hadamard -- computes the Hadamard product of two matrices
- hadamard(Matrix,Matrix) -- computes the Hadamard product of two matrices
- HyperbolicPt
- isDoublyStochastic -- whether a matrix is doubly stochastic
- isDoublyStochastic(..., Tolerance => ...) -- whether a matrix is doubly stochastic
- isDoublyStochastic(Matrix) -- whether a matrix is doubly stochastic
- isOrthogonal -- whether a matrix is orthogonal
- isOrthogonal(..., Tolerance => ...) -- whether a matrix is orthogonal
- isOrthogonal(Matrix) -- whether a matrix is orthogonal
- orthogonalFromOrthostochastic -- computes orthogonal matrices for a given orthostochastic matrix
- orthogonalFromOrthostochastic(..., Tolerance => ...) -- computes orthogonal matrices for a given orthostochastic matrix
- orthogonalFromOrthostochastic(Matrix) -- computes orthogonal matrices for a given orthostochastic matrix
- randomIntegerSymmetric -- constructs a random integer symmetric matrix
- randomIntegerSymmetric(ZZ) -- constructs a random integer symmetric matrix
- randomIntegerSymmetric(ZZ,Ring) -- constructs a random integer symmetric matrix
- randomOrthogonal -- constructs a random special orthogonal matrix
- randomOrthogonal(ZZ) -- constructs a random special orthogonal matrix
- randomOrthogonal(ZZ,Thing) -- constructs a random special orthogonal matrix
- randomPSD -- constructs a random positive semidefinite matrix
- randomPSD(ZZ) -- constructs a random positive semidefinite matrix
- randomPSD(ZZ,RR) -- constructs a random positive semidefinite matrix
- randomPSD(ZZ,ZZ) -- constructs a random positive semidefinite matrix
- randomPSD(ZZ,ZZ,RR) -- constructs a random positive semidefinite matrix
- randomUnipotent -- constructs a random unipotent matrix
- randomUnipotent(ZZ) -- constructs a random unipotent matrix
- randomUnipotent(ZZ,Thing) -- constructs a random unipotent matrix
- realPartMatrix -- real part of a matrix over CC
- realPartMatrix(Matrix) -- real part of a matrix over CC
- roundMatrix -- lifts matrix over RR to matrix over QQ
- roundMatrix(ZZ,Matrix) -- lifts matrix over RR to matrix over QQ