Journal of applied mathematics & informatics
- Volume 25 Issue 1_2
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- Pages.169-181
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
NEW LOWER BOUND OF THE DETERMINANT FOR HADAMARD PRODUCT ON SOME TOTALLY NONNEGATIVE MATRICES
- Zhongpeng, Yang (Deparment of Mathematics, Putian University) ;
- Xiaoxia, Feng (Department of Mathematics, Beihua University)
- Published : 2007.09.30
Abstract
Applying the properties of Hadamard core for totally nonnegative matrices, we give new lower bounds of the determinant for Hadamard product about matrices in Hadamard core and totally nonnegative matrices, the results improve Oppenheim inequality for tridiagonal oscillating matrices obtained by T. L. Markham.
Keywords
- Totally nonnegative matrix;
- Hadamard product;
- Hadamard core;
- lower bound of determinant;
- tridiagonal matrix;
- oscillating matrix;
- Oppenheim inequality