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D.15.22.4 diagonalizeVecFieldLin

Procedure from library VecField.lib (see VecField_lib).

Usage:
diagonalizeVecFieldLin(list l), where l is a list of VecFields

Return:
list W of the same VecFields in new coords s.t. the linear parts are diagonal, all in the same coordinates

Assume:
All linear parts of the entries of l are simultaneously diagonalizable.

Example:
 
LIB "VecField.lib";
ring r = 0, (x, y, z),ds;
vector v = [-1,-1,-1];
VecField V = v;
V.precision = 4;
map phi = r, x-2y2+z3,2y+y3+z,z;
VecField W = changeCoordinates(V,phi);
VecField X = [-2,1,0];
list d = diagonalizeVecFieldLin(W,X);