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Справка Scilab >> Polynomials > hermit

hermit

Hermite form

Syntax

[Ar, U] = hermit(A)

Arguments

A

polynomial matrix

Ar

triangular polynomial matrix

U

unimodolar polynomial matrix

Description

Hermite form: U is an unimodular matrix such that A*U is in Hermite triangular form:

The output variable is Ar=A*U.

Warning: Experimental version

Examples

s = %s;
p = [s, s*(s+1)^2, 2*s^2+s^3];
[Ar,U] = hermit(p'*p);
clean(p'*p*U)
det(U)
--> clean(p'*p*U)
 ans  =
  0  0  s²         

  0  0  s² +2s³ +s⁴

  0  0  2s³ +s⁴    

--> det(U)
 ans  =
  1

See also

  • hrmt — gcd of polynomials
  • htrianr — triangularization of polynomial matrix
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Last updated:
Mon Jan 03 14:39:55 CET 2022