## Positive De nite Completions of Partial Hermitian Matrices

- H. Wolkowicz
- Linear Algebra Appl
- 1984

- Published 1999

An n-by-n real matrix is called a P -matrix if all its principal minors are positive. The P -matrix completion problem asks which partial P -matrices have a completion to a P -matrix. Here, we prove that every partial P -matrix with combinatorially symmetric speci ed entries has a P -matrix completion. The general case, in which the combinatorial symmetry assumption is relaxed, is also discussed.

@inproceedings{Johnson1999ofLA,
title={of Linear Algebra . A publication of the International Linear},
author={Charles R. Johnson and Brenda K. Kroschel},
year={1999}
}