Determinant Inequalities for Positive Definite Matrices Via Additive and Multiplicative Young Inequalities
In this paper we prove among others that, if the positive definitematricesA, Bof ordernsatisfy the condition0< mIn≤B−A≤M In,for some constants0< m < M,whereInis the identity matrix, then0≤(1−t) [det (A)]−1+t[det (A+mIn)]−1−[det (A+mtIn)]−1≤(1−t) [det (A)]−1+t[det (B)]−1−[det ((1−t)A+tB)]−1≤(1−t) [de...
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| Published in: | Revista Integración |
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| Main Author: | |
| Format: | Artigo |
| Language: | Inglês |
| Published: |
Universidad Industrial de Santander
2022
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| Subjects: | |
| Online Access: | https://www.redalyc.org/articulo.oa?id=327075143004 https://www.redalyc.org/journal/3270/327075143004/ https://www.redalyc.org/journal/3270/327075143004/html/ https://www.redalyc.org/journal/3270/327075143004/327075143004.epub https://www.redalyc.org/journal/3270/327075143004/movil |
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