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D.5.4.4 bernstein

Procedure from library gaussman.lib (see gaussman_lib).

Usage:
bernstein(t); poly t

Assume:
characteristic 0; local degree ordering;
isolated critical point 0 of t

Return:
ideal r; roots of the Bernstein polynomial b excluding the root -1

Note:
the roots of b are negative rational numbers and -1 is a root of b

Example:
 
LIB "gaussman.lib";
ring R=0,(x,y),ds;
poly t=x5+x2y2+y5;
bernstein(t);
==> [1]:
==>    _[1]=-1/2
==>    _[2]=-7/10
==>    _[3]=-9/10
==>    _[4]=-1
==>    _[5]=-11/10
==>    _[6]=-13/10
==> [2]:
==>    2,1,1,2,1,1


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            User manual for Singular version 2-0-4, May 2003, generated by texi2html.