Alternative definition of positive definite matrix
119032
Is ${\bf x^TAx} \ge { a \bf x^Tx}$ for some $a>0$ not dependent on $\bf x$ if $\bf A$ is positive definite matrix?
6267
Matrices: system that is "computationally singular" versus "exactly singular"
104413
Is the exponential of $-d$ a positive definite kernel for a general metric space $(X, d)$?
71231
Determinant of circulant-like matrix
135252
If $M$ is positive definite, then $\operatorname{det}{(M)}\leq \prod_i m_{ii}$
15969
How to prove that $A$ is positive semi-definite if all principal minors are non-negative?
52246
Is it possible Fisher information matrix be indefinite?
100731
Positive operator has a positive spectrum?
85550
Positive definiteness of difference of inverse matrices
153127
Is $U=V$ in the SVD of a symmetric positive semidefinite matrix?
11911
How to prove the positive definite property of the semidefinite matrix with regularization?
110271
Given a matrix with non-negative real entries, can you algebraically prove that it has a non-negative eigenvalue?
158205
If $A+A^T$ is negative definite, then the eigenvalues of $A$ have negative real parts?
94563
What correlation makes a matrix singular and what are implications of singularity or near-singularity?
2271
Determinant of a rank $1$ update of a scalar matrix, or characteristic polynomial of a rank $1$ matrix
30268
Positive definite matrix must be Hermitian
62396
Operator norm. Alternative definition