Determinant Inequalities for Positive Definite Matrices Via Diananda’s Result for Arithmetic and Geometric Weighted Means
In this paper we prove among others that, if (Aj)j=1,...,m are positive definite matrices of order n ≥ 2 and qj ≥ 0, j = 1, ..., m with ∑j=1mqj=1$$\sum\nolimits_{j = 1}^m {{q_j} = 1} $$, then 0≤11−mini∈{1,…,m}{qi}×[∑i=1mqi(1−qi)[det(Ai)]−1−2n+1∑1≤i<j≤mqiqj[det(Ai+Aj)]−1]≤∑i=1mqi[det(Ai)]−1−[de...
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| Format: | Article |
| Language: | English |
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Sciendo
2023-05-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
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| Online Access: | https://doi.org/10.2478/awutm-2023-0003 |