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Definiteness of a general partitioned matrix $\mathbf M=\left[\begin{matrix}\bf A & \bf B\\\bf B^\top & \bf D \\\end{matrix}\right]$

Why does positive definite guarantee uniqueness? (Peter J Olver PDE book chapter 9)

Why do positive definite symmetric matrices have the same singular values as eigenvalues?

$A,B\in M_{n}(\mathbb{R})$ so that $A>0, B>0$, prove that $\det (A+B)>\max (\det(A), \det(B))$

If $A$ is symmetric, then the matrix exponential $e^{A}$ is positive definite

How to show this matrix is positive definite?

Can we apply quadratic optimization in complex inner product spaces?

Is this matrix obviously positive definite?

Is matrix $AA^T + tI$ always regular? [closed]

If $A$ and $B$ are linear transformations on a finite-dimensional inner product space, and if $\textbf{0} \leq A \leq B$, then det $A \leq$ det $B$.

Are positive definite matrices robust to "small changes"?

Positive semi-definite vs positive definite

Determining whether a symmetric matrix is positive-definite (algorithm)

Proving $||A^{-1} v || \geq ||A^{-1} u ||$ implies $||v|| \geq ||u||$.

Showing that $(A_{ij})=\left(\frac1{1+x_i+x_j}\right)$ is positive semidefinite

Positive definite matrix must be Hermitian

New posts in positive-definite

Why does the Cholesky decomposition requires a positive definite matrix?

Principal submatrices of a positive definite matrix

Analyze the symmetric property of positive definite matrices [duplicate]

Showing that a certain complex matrix is positive definite

Definiteness of a general partitioned matrix $\mathbf M=\left[\begin{matrix}\bf A & \bf B\\\bf B^\top & \bf D \\\end{matrix}\right]$

Why does positive definite guarantee uniqueness? (Peter J Olver PDE book chapter 9)

Why do positive definite symmetric matrices have the same singular values as eigenvalues?

$A,B\in M_{n}(\mathbb{R})$ so that $A>0, B>0$, prove that $\det (A+B)>\max (\det(A), \det(B))$

If $A$ is symmetric, then the matrix exponential $e^{A}$ is positive definite

How to show this matrix is positive definite?

Can we apply quadratic optimization in complex inner product spaces?

Is this matrix obviously positive definite?

Is matrix $AA^T + tI$ always regular? [closed]

If $A$ and $B$ are linear transformations on a finite-dimensional inner product space, and if $\textbf{0} \leq A \leq B$, then det $A \leq$ det $B$.

Are positive definite matrices robust to "small changes"?

Positive semi-definite vs positive definite

Determining whether a symmetric matrix is positive-definite (algorithm)

Proving $||A^{-1} v || \geq ||A^{-1} u ||$ implies $||v|| \geq ||u||$.

Showing that $(A_{ij})=\left(\frac1{1+x_i+x_j}\right)$ is positive semidefinite

Positive definite matrix must be Hermitian