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Topic: eigenvalues and increasing function
Replies: 4   Last Post: Apr 20, 2013 12:49 PM

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Registered: 5/2/05
Re: eigenvalues and increasing function
Posted: Apr 19, 2013 11:54 PM
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Sorry, I realized that, I stated the problem very incomplete. Let "f" be such a quadratic function x'Ax which is also a positive definite function. We
know that is eigenvalues of "A" are positive in this situation. "A" is such a matrix that its diagonal depends on a variable, let say "y" to this variable. I wonder is "f" increasing of "y". Does eigenvalues or eigenvectors show something about? Thanks a lot.

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