Hessian Martix Not Positive Definite

When the Hessian Matrix Goes Wacky

December 20th, 2023 by

If you have run mixed models much at all, you have undoubtedly been haunted by some version of this very obtuse warning: “The mixed model Hessian (or G or D) Matrix is not positive definite. Convergence has stopped.”

Or “The Model has not Converged. Parameter Estimates from the last iteration are displayed.”

What on earth does that mean?

Let’s start with some background. If you’ve never taken matrix algebra, (more…)