Determinant Inequalities for Positive Definite Matrices Via Additive and Multiplicative Young Inequalities
In this paper we prove among others that, if the positive definite matrices A, B of order n satisfy the condition 0 < mIn ≤ B − A ≤ M In, for some constants 0 < m < M, where In is the identity matrix, then0 ≤ (1 − t) [det (A)]−1 + t [det (A + mIn)]−1 − [det (A + mtIn)]−1≤ (1 − t) [det (A)]...
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| Format: | Article |
| Language: | Spanish |
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Universidad Industrial de Santander
2022-12-01
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| Series: | Revista Integración |
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| Online Access: | https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/13980 |