Some New Results on Determinantal Inequalities and Applications
نویسندگان
چکیده
Some new upper and lower bounds on determinants are presented for diagonally dominant matrices and general H-matrices by using different methods. These bounds are some improvements of results given by Ostrowski 1952 and 1937 , Price 1951 , Wang and Zhang 2002 , Huang and Liu 2005 , and so forth. In addition, these bounds are also used to localize some numerical characters e.g., the minimum eigenvalues, singular values and condition numbers of certain matrices.
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