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