411 REFERENCE · Wikibooks
Linear Algebra and the C Language/a0il
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
__NOTOC__
Negative-definite matrix:
In mathematics, a symmetric matrix M with real entries is positive-definite if the real number xT M x is positive. Negative-definite matrices are defined analogously... Wikipedia: Definite matrix
The eigenvalues of a negative-definite matrix are negative. The matrix is invertible. -A is a positive-definite matrix
c00a.c
Let's check that A = V * EValue * VT.
c00b.c
The inverse matrix of a negative-definite matrix is negative definite.
c00c.c
If A is negative-definite and if s is a strictly positive real number, then s*A is negative definite.
c00d.c
Code study
The code
c00a.c