query: Effect of spectral shift on the eigenvalues of a real symmetric matrix
positive_passages.docid: 149923
positive_passages.text: eigenvalues of A - aI in terms of eigenvalues of A
negative_passages.docid: 44652
negative_passages.text: Minimum and Maximum eigenvalue inequality from a positive definite matrix.
negative_passages.docid: 87318
negative_passages.text: Why are symmetric positive definite (SPD) matrices so important?
negative_passages.docid: 76477
negative_passages.text: Eigenvalues with transpose question.
negative_passages.docid: 18012
negative_passages.text: Eigenvectors of real symmetric matrices are orthogonal
negative_passages.docid: 90576
negative_passages.text: Symmetric matrix eigenvalues
negative_passages.docid: 1048
negative_passages.text: Discreteness of set of energy eigenvalues
negative_passages.docid: 24454
negative_passages.text: The relationship between the eigenvalues of matrices $XY$ and $YX$
negative_passages.docid: 112900
negative_passages.text: Eigenvalue of a polynomial evaluated in a operator
negative_passages.docid: 153127
negative_passages.text: Is $U=V$ in the SVD of a symmetric positive semidefinite matrix?
negative_passages.docid: 68132
negative_passages.text: Small positive eigenvalues found for a negative definite matrix
negative_passages.docid: 40154
negative_passages.text: Finding the dimension of real symmetric matrices with trace zero
negative_passages.docid: 18939
negative_passages.text: Eigenvalues of the transpose
negative_passages.docid: 127799
negative_passages.text: Eigenvalues of symmetric matrices are real without (!) complex numbers
negative_passages.docid: 154667
negative_passages.text: Singular values of the data matrix and eigenvalues of the covariance matrix
negative_passages.docid: 29788
negative_passages.text: Eigenvalues of a matrix whose square equals its transpose
negative_passages.docid: 92455
negative_passages.text: Orthonormalization of non-hermitian matrix eigenvectors