singularLocus(CoincidentRootLocus) -- the singular locus of a coincident root locus

Synopsis

• Function: singularLocus

• Usage:

  singularLocus X

• Inputs:
  • X, a coincident root locus
• Outputs:
  • a list, a list of coincident root loci such that their union coincides with the singular locus of X

Description

The singular locus of a coincident root locus is the union of certain subloci, as described in the paper by J. Chipalkatti - On equations defining coincident root loci - J. Algebra 267, 246-271, 2003; see also the paper by S. Kurmann - Some remarks on equations defining coincident root loci - J. Algebra 352, 223-231, 2012.

i1 : X = coincidentRootLocus {3,2,2,1,1,1,1}

o1 = CRL(3,2,2,1,1,1,1)

o1 : Coincident root locus

i2 : singularLocus X

o2 = {CRL(4,4,3), CRL(3,3,2,2,1), CRL(3,2,2,2,1,1), CRL(5,2,1,1,1,1),
     ------------------------------------------------------------------------
     CRL(4,2,2,1,1,1), CRL(3,3,2,1,1,1)}

o2 : List

See also

• subsets(CoincidentRootLocus) -- produce all the subloci