What is a positive definite hessian matrix?
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The Hessian matrix of a convex function is positive semi-definite. ... If the Hessian has both positive and negative eigenvalues then x is a saddle point for f. Otherwise the test is inconclusive.
The Hessian matrix of a convex function is positive semi-definite. ... If the Hessian has both positive and negative eigenvalues then x is a saddle point for f. Otherwise the test is inconclusive.
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A positive definite matrix is a symmetric matrix with all positive eigenvalues. Note that as it's a symmetric matrix all the eigenvalues are real, so it makes sense to talk about them being positive or negative. Now, it's not always easy to tell if a matrix is positive definite. ... Especially for large matrices. I hope the answer was helpful to you If it was please mark it as brainlist ❤️
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