Some New Results on Determinantal Inequalities and Applications

Hou-Biao Li; Ting-Zhu Huang; Hong Li

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Some New Results on Determinantal Inequalities and Applications

机译：行列式不等式及其应用的一些新结果

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Some new upper and lower bounds on determinants are presented for diagonally dominant matrices and general -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.

机译：通过使用不同的方法，给出了对角占优矩阵和一般矩阵行列式的一些新的上界和下界。这些界限是对Ostrowski（1952）和（1937），Price（1951），Wang和Zhang（2002），Huang和Liu（2005）等给出的结果的改进。此外，这些界限还用于定位某些矩阵的某些数字字符（例如，最小特征值，奇异值和条件数）。

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《Journal of inequalities and applications》 |2010年第1期|共16页
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Hou-Biao Li; Ting-Zhu Huang; Hong Li;
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Some New Results on Determinantal Inequalities and Applications

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