P-matrix

This article defines a property that can be evaluated for a square matrix with entries over the field of real numbers. In other words, given a square matrix (a matrix with an equal number of rows and columns) with entries over the field of real numbers, the matrix either satisfies or does not satisfy the property.
View other properties of square matrices with entries over the field of real numbers | View other properties of square matrices

Definition

Suppose $n$ is a positive integer and $A$ is a $n\times n$ square matrix. We say that $A$ is a P-matrix if all the principal minors of $A$ are positive.

Relation with other properties

Stronger properties

Property	Meaning	Proof of implication	Proof of strictness (reverse implication failure)	Intermediate notions
symmetric positive-definite matrix				|FULL LIST, MORE INFO
positive-definite matrix				|FULL LIST, MORE INFO
nonsingular M-matrix				|FULL LIST, MORE INFO