|
D.14.6 phindex_lib
- Library :
- phindex.lib
- Purpose:
- Procedures to compute the index of real analytic vector fields
- Author:
- Victor Castellanos
- Note:
- To compute the Poincare-Hopf index of a real analytic vector field
with an algebraically isolated singularity at 0 (w. an a. i. s),
we use the algebraic formula for the degree of the real analytic map
germ found by Eisenbud-Levine in 1997. This result was also proved by
Khimshiashvili. If the isolated singularity is non algebraically
isolated and the vector field has similar reduced complex zeroes of
codimension 1, we use a formula as the Eisenbud-Levine found by Victor
Castellanos, in both cases is necessary to use a local order (ds,...).
To compute the signature of a quadratic form (or symmetric matrix)
we use the method of Lagrange.
Procedures:
|