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  • May 13, 2015, 10:41 AM
    Ahmedsalim
    Linear Algebra Help?
    I have a problem in course project?
    I have two positive definite $n\times n$ matrices, $A$ and $B$.
    I want to find the bound of singular values of a product of these matrices ?
    these matrices are unknown, and I want to solve them by bound them>
    So I think I have to separate them
    thanks a lot.
    Any suggestion or references?
  • May 13, 2015, 06:58 PM
    spicywings
    "I want to find the bound of singular values of a product of these matrices ?
    these matrices are unknown, and I want to solve them by bound them"

    Above: I don't understand this portion...

    ... are you asking if they are symmetric or semidefinite or something else?
  • May 14, 2015, 12:08 AM
    Ahmedsalim
    Sorry I forget to wrote they are symmetric matrices. Best Regards
  • May 15, 2015, 08:40 AM
    spicywings
    K, I'm very rusty on this :) But I did find this reference... will this help?

    matrices - For what k, matrix (k A - B) is positive semidefinite? - MathOverflow

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