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From |
"Austin Nichols" <austinnichols@gmail.com> |

To |
statalist@hsphsun2.harvard.edu |

Subject |
Re: st: How to obtain the solution of a quintic polynomial equation using Stata |

Date |
Sat, 17 Nov 2007 12:33:42 -0500 |

In Stata 10, you can use Mata's optimize() to find the zeros of an equation like f(x)=dy-(a0+a1*x+a2*x^2+a3*x^3+a4*x^4+a5*x^5) by minimizing (f(x))^2 On 11/17/07, tiago.pereira@incor.usp.br <tiago.pereira@incor.usp.br> wrote: > Dear Statalisters > > I have the following quintic polynomial equation > dy=a0+a1*x+a2*x^2+a3*x^3+a4*x^4+a5*x^5 > > the objective is to estimate x. > > where > > a0= x12*mu_s*(1+mu_s)+2*x22*mu_s^2 > a1=-2*(n*mu_s*(1+mu_s)+x12*mu_s) > a2=6*n*mu_s+2*x11+x12 > a3=-2*(2*n*mu_s+n+2*x11+x12) > a4=4*n+2*x11+x12 > a5=-2*n > > Is there a straighforward way to solve it using Stata? Or, since I know > that x is constrained between 0 and 1, to use brute force to find out the > solution? If so, how many decimals places used in a loop would you > suggest? > > Tiago * * For searches and help try: * http://www.stata.com/support/faqs/res/findit.html * http://www.stata.com/support/statalist/faq * http://www.ats.ucla.edu/stat/stata/

**References**:**st: How to obtain the solution of a quintic polynomial equation using Stata***From:*tiago.pereira@incor.usp.br

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