Diagonal and off-diagonal blocks of positive definite partitioned matrices

التفاصيل البيبلوغرافية
العنوان: Diagonal and off-diagonal blocks of positive definite partitioned matrices
المؤلفون: Bourin, Jean-Christophe, Lee, Eun-Young
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Functional Analysis, 15A42, 15A60, 47A30
الوصف: We establish a sharp inequality between the blocks of positive partitioned matrices and conjecture a triangle type inequality for contractions: Given three contactions A,B,C, we conjecture that the constant c=3/4 is sharp in the triangle inequality |A+B+C| < cI + |A| +|B| + |C|.
Comment: Final version, to appear in LAA, 13 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2307.02034
رقم الأكسشن: edsarx.2307.02034
قاعدة البيانات: arXiv