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Coefficients of a matrix 
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#1
Jun2404, 10:31 AM

P: 1

Hallo everybody.
I have a square matrix where the coefficients of the diagonal are 1, while the others are very small (say 10^6). Of course the determinant of this matrix will be always one. This is my problem: the coefficients are functions of a variable (w, complex variable). So, the determinant of the matrix will be a function of w. I need to find the solutions, the roots w of this function (the determinant=0), but since the diagonal is made of 1 and the other coeffs are very small, this function will be constant and equal to 1. How can I avoid this problem...extracting the diagonal... I tried to normalize the other small coefficients using new variables but they still are very small. Thank you for your help, Ario 


#2
Jun2404, 02:04 PM

Sci Advisor
HW Helper
P: 9,398

Being small in abs value and being zero aren't the same thing. also what is the size of the matrix? if it is a 10**6 by 10**6 matrix then the small entries may contribute significantly to the determinant. other than this it appears you're just using numbers that are too small for your computer to handle.



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