next | previous | forward | backward | up | top | index | toc | Macaulay2 website
CoincidentRootLoci :: coincidentRootLocus

coincidentRootLocus -- makes a coincident root locus

Synopsis

Description

i1 : X = coincidentRootLocus {6,4,3,3,2}

o1 = CRL(6,4,3,3,2)

o1 : Coincident root locus
i2 : describe X

o2 = Coincident root locus associated with the partition {6, 4, 3, 3, 2} defined over QQ
     ambient: P^18 = Proj(QQ[t_0..t_18])
     dim    = 5
     codim  = 13
     degree = 25920
     The singular locus is the union of the coincident root loci associated with the partitions: 
     ({6, 6, 4, 2},{10, 3, 3, 2},{9, 4, 3, 2},{7, 6, 3, 2},{8, 4, 3, 3},{6, 6, 3, 3},{6, 5, 4, 3})
i3 : describe dual X

o3 = Dual of the coincident root locus associated with the partition {6, 4, 3, 3, 2} defined over QQ
     which coincides with the join of the coincident root loci associated with the partitions:
     ({14, 1, 1, 1, 1},{16, 1, 1},{17, 1},{17, 1},{18})
     ambient: P^18 = Proj(QQ[t_0..t_18])
     dim    = 17
     codim  = 1
     degree = 21600

Ways to use coincidentRootLocus :

For the programmer

The object coincidentRootLocus is a method function with a single argument.