IsNegativeDefinite

Tests if a matrix is negative definite.

Syntax

• IsNegativeDefinite(A[, ε])

  • A is a matrix

  • ε is a positive number

Description

If A is a matrix, then IsNegativeDefinite(A, ε) returns true iff A is a negative definite Hermitian (real case: symmetric) matrix. Floating-point numbers are compared with epsilon ε; if omitted, a default (but positive) value is used.

See also

• IsPositiveDefinite

• IsPositiveSemidefinite

• IsNegativeSemidefinite

• IsIndefinite