Characteristic polynomial

[danny]

Hello all. I am new to LAPACK. My problem is as follows:

suppose I have some large matrix (say 1000 by 1000) and its entries depend on some paramater say T. Now I need to know for what value of T would this matrix have an eigen value 1 (one) .

I am not sure how can LAPACK help me solve the problem. Does LAPACK handle non-linear equations? Because this is what I get in my problem. the characteristic polynomial in x is some function of T with x set to 1.

any help will be useful.
Thank you,
dan

[Julien Langou]

LAPACK is not meant to solve this problem, Julien.