"principal" in inglés with examples - Collocation dictionary inglés
- On matrices with non-positive off-diagonal elements and positive principal minors.
- Its leading principal minors are all positive.
- A Hermitian matrix is positive semidefinite if and only if all of its principal minors are nonnegative.
- In other words, all of the leading principal minors must be positive.
- For an n x n square matrix, there are n leading principal minors.
- For Hermitian matrices, the leading principal minors can be used to test for positive definiteness.
- A sufficient matrix is a generalization both of a positive-definite matrix and of a P-matrix, whose principal minors are each positive.
- In the two variable case, and are the principal minors of the Hessian.
- All the leading principal minors of A are positive.
- The condition of positivity of all principal minors is also known as the Hawkins-Simon condition in economic literature.
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