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16-Pearl
January 8, 2019
Question

Setting up eigenvalue in mathcad

  • January 8, 2019
  • 2 replies
  • 4992 views

to all

 

I am struggling to set up the eigenvalue described in the attached mcad v15 sheet (or pdf). Could someone who understand these things enlighten me?

 

Thanks

Regards

2 replies

19-Tanzanite
January 8, 2019

Is something like the attached what you are looking for?

 

Alan

 

16-Pearl
January 8, 2019

Thanks for the input. Appreciated. Looks like I do not quite fully understand the equation (yet) as if one plots the results of the eigenvalue extraction the result is not what I expected. I attached a typical example of such plot

21-Topaz II
January 8, 2019

Hi,

The matrices A and B are singular, so it is not possible to calculate the eigenvalues.JXB1.jpg

16-Pearl
January 8, 2019

Thanks. Is it my test vector which is not correct? (does not work with 1 vector !) Do I need more vectors to make it work?

21-Topaz II
January 8, 2019

You must make sure that | A | and of | B |, be different from zero. As you can see, in my calculations, I haven't multiplied by the matrix M when creating the matrices A and B. Mathcad defines an array as column vector and, consequently, the transpose is a row vector. It follows that HTMH is a scalar, and the eigenvalues equation looses meaning. You should reconsider the whole theory and how the text book defines the array (column or row?).