query: Sylvester's criterion for complex Hermitian
positive_passages.docid: 153372
positive_passages.text: Characterization of positive definite matrix with principal minors
negative_passages.docid: 68255
negative_passages.text: Theorems in complex analysis.
negative_passages.docid: 40154
negative_passages.text: Finding the dimension of real symmetric matrices with trace zero
negative_passages.docid: 141794
negative_passages.text: Invariant subspaces of specific dimension
negative_passages.docid: 35247
negative_passages.text: The characteristic and minimal polynomial of a companion matrix
negative_passages.docid: 73952
negative_passages.text: Upper bound for the sum of absolute values of the eigenvalues
negative_passages.docid: 12525
negative_passages.text: complex conjugates of holomorphic functions
negative_passages.docid: 56943
negative_passages.text: Normal operator with real spectrum is hermitian.
negative_passages.docid: 81012
negative_passages.text: Solution of a Sylvester equation?
negative_passages.docid: 88712
negative_passages.text: Determining a matrix from its characteristic polynomial
negative_passages.docid: 7813
negative_passages.text: In a complex vector space, $\langle Tx,x \rangle=0 \implies T = 0$
negative_passages.docid: 42988
negative_passages.text: Complex polynomial and the unit circle
negative_passages.docid: 80544
negative_passages.text: Need verification - Prove a Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues
negative_passages.docid: 36444
negative_passages.text: Bound of a complex-valued function
negative_passages.docid: 38130
negative_passages.text: Complex structure on $\mathbb{C}\mathbb{P}^2\# \dots \# \mathbb{C}\mathbb{P}^2$
negative_passages.docid: 29408
negative_passages.text: Get Eigensystem to return orthogonal eigenvectors for Hermitian matrix
negative_passages.docid: 56636
negative_passages.text: A problem of Schwarz-Pick theorem in complex analysis