ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Tue, 09 Jan 2018 19:10:00 +0100Complimentary eigenvalue of a matrixhttps://ask.sagemath.org/question/40540/complimentary-eigenvalue-of-a-matrix/How to obtain all the complimentary eigenvalues (also associated complimentary eigenvectors) of a given matrix. Complimentary eigenvalues and eigenvectors of a given matrix $A$ of order $n\times n$ is the solution to the following system
$x≥0_n$,
$Ax−λx≥0_n$ and
$⟨x, Ax−λx⟩=0$ where $x(\neq 0_n)\in R^n$Tue, 09 Jan 2018 08:03:31 +0100https://ask.sagemath.org/question/40540/complimentary-eigenvalue-of-a-matrix/Comment by vdelecroix for <p>How to obtain all the complimentary eigenvalues (also associated complimentary eigenvectors) of a given matrix. Complimentary eigenvalues and eigenvectors of a given matrix $A$ of order $n\times n$ is the solution to the following system</p>
<p>$x≥0_n$,
$Ax−λx≥0_n$ and
$⟨x, Ax−λx⟩=0$ where $x(\neq 0_n)\in R^n$</p>
https://ask.sagemath.org/question/40540/complimentary-eigenvalue-of-a-matrix/?comment=40541#post-id-40541You can try to implement the algorithm from [Fernandes-Júdice-Sherali-Forjaz](http://www.co.it.pt/~judice/Articles/paperCOAP_EiCP_Final.pdf).Tue, 09 Jan 2018 19:10:00 +0100https://ask.sagemath.org/question/40540/complimentary-eigenvalue-of-a-matrix/?comment=40541#post-id-40541