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Math Help - nonpositive matrix

  1. #1
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    nonpositive matrix

    What is a nonpositive matrix?
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  2. #2
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    Quote Originally Posted by Ene Dene
    What is a nonpositive matrix?
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    I assume it is a matrix whose entries are all negative or zeros. Then you can "factor" a negative from a matrix because of the scaler multiple rule, thus transforming it into a nonnegative matrix.
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  3. #3
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    I agree with the previous response.
    The classical definition of a matrix being negative semidefinite is that none of its entries are positive. That is just another way of saying its entries are all non-positive.
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  4. #4
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    Quote Originally Posted by Ene Dene
    What is a nonpositive matrix?
    A Negative Definite Matrix - A Hermitian matrix all of whose eigenvalues are
    negative (or one of the equivalent definitions).

    A Negative Semi-Definite Matrix - A Hermitian matrix all of whose eigenvalues
    are <=0 (or one of the equivalent definitions).

    RonL
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