What is the definition of a strictly negative definite matrix?












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I know the definition of semi-positive, positive, semi-negative, and negative definite, but what is the definition of a strictly negative definite matrix?










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    0












    $begingroup$


    I know the definition of semi-positive, positive, semi-negative, and negative definite, but what is the definition of a strictly negative definite matrix?










    share|cite|improve this question









    $endgroup$















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      0








      0





      $begingroup$


      I know the definition of semi-positive, positive, semi-negative, and negative definite, but what is the definition of a strictly negative definite matrix?










      share|cite|improve this question









      $endgroup$




      I know the definition of semi-positive, positive, semi-negative, and negative definite, but what is the definition of a strictly negative definite matrix?







      matrices definition






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      asked Dec 17 '18 at 12:47









      mijcmijc

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          $begingroup$

          I can't imagine that "strictly negative definite" means anything other than negative definite. It's just a clarification to make it absolutely clear that it is not semi-definite.






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          • $begingroup$
            Oh, that would make sense.
            $endgroup$
            – mijc
            Dec 17 '18 at 13:08











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          1 Answer
          1






          active

          oldest

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          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          3












          $begingroup$

          I can't imagine that "strictly negative definite" means anything other than negative definite. It's just a clarification to make it absolutely clear that it is not semi-definite.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Oh, that would make sense.
            $endgroup$
            – mijc
            Dec 17 '18 at 13:08
















          3












          $begingroup$

          I can't imagine that "strictly negative definite" means anything other than negative definite. It's just a clarification to make it absolutely clear that it is not semi-definite.






          share|cite|improve this answer









          $endgroup$













          • $begingroup$
            Oh, that would make sense.
            $endgroup$
            – mijc
            Dec 17 '18 at 13:08














          3












          3








          3





          $begingroup$

          I can't imagine that "strictly negative definite" means anything other than negative definite. It's just a clarification to make it absolutely clear that it is not semi-definite.






          share|cite|improve this answer









          $endgroup$



          I can't imagine that "strictly negative definite" means anything other than negative definite. It's just a clarification to make it absolutely clear that it is not semi-definite.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Dec 17 '18 at 13:07









          ArthurArthur

          112k7109192




          112k7109192












          • $begingroup$
            Oh, that would make sense.
            $endgroup$
            – mijc
            Dec 17 '18 at 13:08


















          • $begingroup$
            Oh, that would make sense.
            $endgroup$
            – mijc
            Dec 17 '18 at 13:08
















          $begingroup$
          Oh, that would make sense.
          $endgroup$
          – mijc
          Dec 17 '18 at 13:08




          $begingroup$
          Oh, that would make sense.
          $endgroup$
          – mijc
          Dec 17 '18 at 13:08


















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