A = si + B, where A and B are SPD

[rtaylor]

I would like to express an SPD matrix A as:

A = sI + B

where B is also SPD, or alternatively as:

A = I + B

what constraints need to be imposed on B?
Please let me know if this question is mot appropriate for this forum.

thanks,

Russ

 

[D H]

Please let me know if this question is mot appropriate for this forum.

This question is appropriate for this website as a whole, but it is not appropriate for where you posted it. This looks like homework, so you should have posted this in our homework section. That this is a misplaced homework question is one of the reasons you have not received any responses. If you had made your post in the homework section you would have been prompted to specify the relevant equations and to show some work on the problem.

So, what are the relevant equations, and what work have you yourself done to solve this problem?