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Is this matrix positive semidefinite? $M_{ij} = \sqrt{|x_i+x_j|} - \sqrt{|x_i-x_j|}$ where $x_i$'s are reals

If a symmetric PSD matrix has a zero entry on the main diagonal, its determinant is zero

Why is this determinant positive?

Determining if a symmetric matrix is positive definite

Can we construct an ORTHOGONAL ($trace(A^\dagger B) = 0$) basis for Hermitian matrices made of PSD (positive semi-definite) Hermitian matrices?

Is there any intuition why the following matrix is positive semidefinite?

Set of symmetric positive semidefinite matrices is a full dimensional convex cone.

How to prove that a certain block matrix is positive semi definite, which depends on a undetermined submatrix

The product of two symmetric, positive semidefinite matrices has non-negative eigenvalues

Meaning of $x^T A x$

Is the trace of the product of two positive semidefinite matrices always nonnegative?

How to prove that $A$ is positive semi-definite if all principal minors are non-negative?

Decomposition of a positive semidefinite matrix

A necessary and sufficient condition for a symmetric matrix to be positive semidefinite in terms of its Schur complement

If matrix is not positive semidefinite then there is $x$ such that $x^T A x < 0$

New posts in positive-semidefinite

Ensuring that a symmetric matrix with nonnegative elements is positive semidefinite

Cholesky decomposition in positive semi-definite matrix

Checking if a matrix is positive semidefinite

Minimal spanning set ("conical basis") for 2x2 Hermitian PSD (positive semi-definite) cone?

Positive semidefinite cone is generated by all rank-$1$ matrices.

Is this matrix positive semidefinite? $M_{ij} = \sqrt{|x_i+x_j|} - \sqrt{|x_i-x_j|}$ where $x_i$'s are reals

If a symmetric PSD matrix has a zero entry on the main diagonal, its determinant is zero

Why is this determinant positive?

Determining if a symmetric matrix is positive definite

Can we construct an ORTHOGONAL ($trace(A^\dagger B) = 0$) basis for Hermitian matrices made of PSD (positive semi-definite) Hermitian matrices?

Is there any intuition why the following matrix is positive semidefinite?

Set of symmetric positive semidefinite matrices is a full dimensional convex cone.

How to prove that a certain block matrix is positive semi definite, which depends on a undetermined submatrix

The product of two symmetric, positive semidefinite matrices has non-negative eigenvalues

Meaning of $x^T A x$

Is the trace of the product of two positive semidefinite matrices always nonnegative?

How to prove that $A$ is positive semi-definite if all principal minors are non-negative?

Decomposition of a positive semidefinite matrix

A necessary and sufficient condition for a symmetric matrix to be positive semidefinite in terms of its Schur complement

If matrix is not positive semidefinite then there is $x$ such that $x^T A x < 0$