DeterminantalRepresentations : Table of Contents

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