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poly
polynomial definition
Calling Sequence
p = poly(a, vname, ["flag"])
Arguments
- a
a matrix or real number
- vname
a string, the symbolic variable name. The string must be 4 characters max.
- "flag"
string (
"roots"
,"coeff"
), default value is"roots"
.Shortcuts can be also used:
"r"
for"roots"
and"c"
for"coeff"
.
Description
- If
a
is a matrix, p
is the characteristic polynomial i.e.determinant(x*eye()-a)
,x
being the symbolic variable.- If
v
is a vector, poly(v,"x",["roots"])
is the polynomial withroots
the entries ofv
and"x"
as formal variable. (In this case,roots
andpoly
are inverse functions).Note that Infinite roots gives zero highest degree coefficients.poly(v,"x","coeff")
creates the polynomial with symbol"x"
and with coefficients the entries ofv
(v(1)
is the constant term of the polynomial). (Herepoly
andcoeff
are inverse functions).
s=poly(0,"s")
is the seed for defining
polynomials with symbol "s"
.
Examples
s=poly(0,"s"); p=1+s+2*s^2 A=rand(2,2); poly(A,"x") //rational fractions h=(1+2*%s)/poly(1:4,'s','coeff')
See Also
History
Version | Description |
5.5.0 | The only values allowed for the third argument are "roots", "coeff", "c" and "r". |
Report an issue | ||
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