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تسجيل مستخدم جديدتمديد نتيجة هاينسورث وهارتفيل
Extension of a result of Haynsworth and Hartfiel
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تأليف
Minghua Lin
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حوالي السبعينات، استخدم هاينسوورث [6] نتيجة من تكميل شور لتحسين استباق التحديد للأبعاد الإيجابية المؤكدة. تم تحسين نتيجة هاينسوورث من قبل هارتفيل [5]. نحن نمتد نتيجتهما إلى فئة أكبر من الأبعاد، أي الأبعاد التي تحتوي مجالها الرقمي في قطاع. دليلنا يعتمد على عدد من العلاقات الجديدة لتكميل شور في هذه الفئة من الأبعاد.
About last 70s, Haynsworth [6] used a result of the Schur complement to refine a determinant inequality for positive definite matrices. Haynsworths result was improved by Hartfiel [5]. We extend their result to a larger class of matrices, namely, matrices whose numerical range is contained in a sector. Our proof relies on a number of new relations for the Schur complement of this class of matrices.
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