Recent content by Alwar

  1. Alwar

    I How to Find the Generalized Eigenvector in a Matrix ODE?

    Hi Vela, Thanks for your effort. Can you upload the solution of how you got the sixth column of eigenvector. I hope I will be able to grasp what you have done.
  2. Alwar

    I How to Find the Generalized Eigenvector in a Matrix ODE?

    For λ = -sqrt(α^2+β^2), solving the characteristic equation in the matlab, the fourth column vector in M is displayed as solution. However if we manually do, we can get four equations as shown in the attached figure. And the first equation repeats three times meaning infinite solutions. The...
  3. Alwar

    I How to Find the Generalized Eigenvector in a Matrix ODE?

    Thanks Haborix. Inspecific, I cannot find the first and sixth column of eigenvectors in matrix M. But when I find the characteristic equation (A-λI)X = 0 for each of the eigenvalue, both these vectors satisfy the solution upon back substitution. But I cannot find them directly. Or the authors...
  4. Alwar

    I How to Find the Generalized Eigenvector in a Matrix ODE?

    This is the part of a manuscript published in the journal. I think they have mentioned eigenvalues wrongly as k^2. When I calculated its only k. I hope the Jordan matrix is correct. Thanks.
  5. Alwar

    I How to Find the Generalized Eigenvector in a Matrix ODE?

    Hi, I have a set of ODE's represented in matrix format as shown in the attached file. The matrix A has algebraic multiplicity equal to 3 and geometric multiplicity 2. I am trying to find the generalized eigenvector by algorithm (A-λI)w=v, where w is the generalized eigenvector and v is the...
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