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Formulas for the Drazin Inverse of Anti-Triangular Matrices
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نویسنده
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ghaffari ali ,haddadi tahereh
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منبع
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analytical and numerical solutions for nonlinear equations - 2023 - دوره : 8 - شماره : 2 - صفحه:21 -35
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چکیده
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Let a be a banach algebra. in this paper, for two drazin invertible elements a, b ∈ a, explicit formulas for the drazin inverse (a + b) are given in the cases of a²ba = 0, (ba)² = 0 and ab² = 0. by using these formulas, the representations for the drazin inverse of the anti-triangular operator matrices over banach algebras are obtained, which also extend some existing results.
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کلیدواژه
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Banach algebra · Block matrix · Drazin inverse · Index · Operator matrix · Schur complement
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آدرس
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semnan university, department of mathematics, Iran, islamic azad university, semnan branch, department of mathematics, Iran
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پست الکترونیکی
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thaddadi@semnan.ac.ir
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Authors
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