Does linear matrix inequality imply eigenvalue inequality?
59402
Comparing Eigenvalues of Positive Semidefinite Matrices
93910
Equality in Cauchy-Schwarz Inequality implies linear dependence.
80544
Need verification - Prove a Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues
56391
Is this inequality true? $ (x + y)^{\alpha} < x^{\alpha} + y^{\alpha} $, for positive $x$ & $y$, and for $0 < \alpha < 1$
153127
Is $U=V$ in the SVD of a symmetric positive semidefinite matrix?
134131
Squared norm of matrix equal to squared norm of its transpose
126337
Eigenvalues in orthogonal matrices
149916
Minimum eigenvalue and singular value of a square matrix
1750
Fredholm alternative theorem for matrices
18470
A practical way to check if a matrix is positive-definite
35013
Demonstration: If all vectors of $V$ are eigenvectors of $T$, then there is one $\lambda$ such that $T(v) = \lambda v$ for all $v \in V$.
90964
Prove: symmetric positive definite matrix
132595
$\sup_{0 \leq M \leq I_{\mathcal{H}_1}} \frac{\operatorname{Tr}[\rho M]}{\operatorname{Tr}[\sigma M]}$ satisfies Data Processing Inequality
11911
How to prove the positive definite property of the semidefinite matrix with regularization?
75211
Theorem about positive matrices
68132
Small positive eigenvalues found for a negative definite matrix
51678
Proof that the largest eigenvalue of a stochastic matrix is $1$