?poly用來求矩陣的特征多項式

>> A=[0 1 0;-4 4 0;-2 1 2]

A =

????0????1????0
???-4????4????0
???-2????1????2

>> poly(A)

ans =

????1???-6???12??? -8

>> B=sym(A)
?
B =
?
[? 0, 1, 0]
[ -4, 4, 0]
[ -2, 1, 2]

?

>> poly(B)
?
ans =
?
x^3 - 6*x^2 + 12*x - 8

?

POLY Convert roots to polynomial.
??? POLY(A),when A is an N by N matrix, is a row vector with
??? N+1 elementswhich are the coefficients of the
???characteristic polynomial, DET(lambda*EYE(SIZE(A)) - A) .
?
??? POLY(V),when V is a vector, is a vector whose elements are
??? thecoefficients of the polynomial whose roots are the
??? elements ofV . For vectors, ROOTS and POLY are inverse
??? functions ofeach other, up to ordering, scaling, and
??? roundofferror.
?
???ROOTS(POLY(1:20)) generates Wilkinson's famous example.
?
??? Classsupport for inputs A,V:
??????float: double, single
?
??? See alsoroots, conv, residue, polyval.

???Overloaded methods:
??????sym/poly

??? Referencepage in Help browser
??????doc poly

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