query: matrix product of two positive definite matrices
positive_passages.docid: 12868
positive_passages.text: Is the product of symmetric positive semidefinite matrices positive definite?
negative_passages.docid: 59402
negative_passages.text: Comparing Eigenvalues of Positive Semidefinite Matrices
negative_passages.docid: 135171
negative_passages.text: Under what conditions is the difference between a rank $1$, postive semidefinite matrix and a hermitian matrix positive semidefinite?
negative_passages.docid: 48238
negative_passages.text: Prove the positive definiteness of Hilbert matrix
negative_passages.docid: 29454
negative_passages.text: A and B are real, symmetric and positive semi-definite matrices of the same order; is AB diagonalizable?
negative_passages.docid: 86623
negative_passages.text: Why is $B^TB+\lambda\Omega$ positive definite?
negative_passages.docid: 8970
negative_passages.text: Proving the cross product matrix tranformation identity with an alternative solution
negative_passages.docid: 63753
negative_passages.text: Eigenvalues of product of two complex matrices
negative_passages.docid: 82962
negative_passages.text: Partial Ordering of Positive Definite Matrices
negative_passages.docid: 151868
negative_passages.text: Combining 2 covariance matrices
negative_passages.docid: 25335
negative_passages.text: Orthogonal matrix over cross product
negative_passages.docid: 143793
negative_passages.text: If $A$ is symmetric, then the matrix exponential $e^{A}$ is positive definite
negative_passages.docid: 88820
negative_passages.text: Three linked question on non-negative definite matrices.
negative_passages.docid: 114208
negative_passages.text: Does non-symmetric positive definite matrix have positive eigenvalues?
negative_passages.docid: 77587
negative_passages.text: Cross product: matrix transformation identity
negative_passages.docid: 38266
negative_passages.text: How to prove that exponential kernel is positive definite?
negative_passages.docid: 54211
negative_passages.text: If $A$ and $B$ are positive definite, then is $B^{-1} - A^{-1}$ positive semidefinite?