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-- Author: Lily Silverstein
-- Rewritten August 2018
doc ///
Key
leadComponent
(leadComponent, Matrix)
(leadComponent, Vector)
Headline
the leading component(s) of a vector or matrix
Usage
leadComponent v
Inputs
v:Vector
or @TO Matrix@
Outputs
:ZZ
or @TO List@ of integers, the largest index of a nonzero element of {\tt v}
Description
Example
leadComponent vector{0,0,1,0,1}
leadComponent vector{0,0,1,2,3,4,0}
leadComponent matrix{{0,0,1}, {0,1,0}, {1,0,0}}
Text
{\em Leading} appears to be a bit of a misnomer here, since the index/indices return
are the last, not the first, corresponding to nonzero elements.
This command also works with vectors and matrices that contain polynomial
ring elements.
Example
R = ZZ/5[a,b,c]; leadComponent vector{a*b^2,3*b*c^3,0}
SeeAlso
leadCoefficient
leadMonomial
leadTerm
position
positions
select
support
///
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