عنوان
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Generalizations of Some Conditions for Drazin Inverses of the Sum of Two Matrices
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Drazin inverse, additive formula, block matrix
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چکیده
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In this article, we present some formulas of the Drazin inverses of the sum of two matrices under the conditions P2QP = 0; P2Q2 = 0, QPQ = 0 and PQP2 = 0; PQ2 = 0, QP3 = 0 respectively. These conditions are weaker than those used in some literature on this subject. Furthermore, we apply our results to give the representations for the Drazin inverses of block matrix A B C D (A and D are square matrices) with generalized Schur complement is zero.
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پژوهشگران
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رامش یوسفی (نفر اول)، منصور دانا (نفر دوم)
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