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.Fri, 11 Jun 2021 10:54:19 +0200Generalized eigenvalue problemhttps://ask.sagemath.org/question/57540/generalized-eigenvalue-problem/ I want to find the generalized eigenvalues and eigenvectors of two matrices. But A.eigenmatrix_left(B) is giving the error TypeError: eigenmatrix_left() takes no arguments (1 given). Why is this happening and is there any other way?
Thank you.AmruthaFri, 11 Jun 2021 10:54:19 +0200https://ask.sagemath.org/question/57540/Incorrect Eigenvalues/Eigenvectorshttps://ask.sagemath.org/question/47313/incorrect-eigenvalueseigenvectors/ I'm trying to compute eigenvalues and eigenvectors for certain matrices. Most of the time sage is giving me what seems to be the correct output, but sometimes it's quite wrong and I'm not sure why this is happening. Here's a concrete example with a circulant matrix.
sage: M=matrix.circulant([1,-1/2*I,0,0,0,0,0,0,0,0,1/2*I])
sage: M.eigenvectors_right()
[(1, [(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1)], 1)]
That is, it only returns a single eigenvector when I know there's in fact 11. A different issue appears with matrix.circulant([1,-1/2*I,0,0,0,0,1/2*I]), where now sage produces all the eigenvalues but produces no eigenvectors for most of these values.
zorkkoiTue, 30 Jul 2019 17:20:19 +0200https://ask.sagemath.org/question/47313/Complimentary 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 $x(\neq 0_n)\in R^n$Deepak SarmaTue, 09 Jan 2018 08:03:31 +0100https://ask.sagemath.org/question/40540/