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From |
Steven Samuels <sjsamuels@gmail.com> |

To |
statalist@hsphsun2.harvard.edu |

Subject |
Re: st: Problem computing eigenvalues, STATA vs. MATA |

Date |
Sun, 9 Jan 2011 12:57:17 -0500 |

Steve sjsamuels@gmail.com On Jan 9, 2011, at 10:42 AM, Austin Nichols wrote: Zachary Neal <zpneal@gmail.com>: You are confusing vectors and values there, and not sorting by values after computing the eigensystem, but note that the only real difference is that a couple of vectors are negated (any scalar multiple of an eigenvector is also an eigenvector and the negation has the same length so they are essentially equivalent) and Mata is using quad precision to do the computations.

matrix symeigen vectors1 values1 = A matrix list values1 matrix list vectors1 mata values2 = 0 vectors2 = 0 symeigensystem(st_matrix("A"),vectors2,values2) v2=sort((values2\vectors2)',1)' v2[1,.] v2[2..6,.] end On Sun, Jan 9, 2011 at 8:08 AM, Zachary Neal <zpneal@gmail.com> wrote:

I am trying to obtain the eigenvalues of a symmetric matrix. However, I get different results depending on whether I use STATA or MATA. For example:matrix define A = 0,1,1,0,0 \ 1,0,0,1,0 \ 1,0,0,0,1 \ 0,1,0,0,0 \0,0,1,0,0matrix symeigen eigenvalues1 eigenvectors1 = A matrix list eigenvalues1 mata: A = 0,1,1,0,0 \ 1,0,0,1,0 \ 1,0,0,0,1 \ 0,1,0,0,0 \ 0,0,1,0,0 mata: eigenvalues2 = 0 mata: eigenvectors2 = 0 mata: symeigensystem(A,eigenvalues2,eigenvectors2) mata: eigenvalues2 In this case, eigenvalues1 does not equal eigenvalues2. I believe the results yielded by STATA (i.e. eigenvalues1) are what I'm looking for. Why do these two sets of commands yield different results? What commands are necessary in MATA to yield the same eigenvalues that are given by STATA? Thank you Zachary Neal

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**References**:**st: Problem computing eigenvalues, STATA vs. MATA***From:*Zachary Neal <zpneal@gmail.com>

**Re: st: Problem computing eigenvalues, STATA vs. MATA***From:*Austin Nichols <austinnichols@gmail.com>

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