کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416560 1336832 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
More results on generalized Drazin inverse of block matrices in Banach algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
More results on generalized Drazin inverse of block matrices in Banach algebras
چکیده انگلیسی

In a Banach algebra A, let x=[abcd]∈A relative to the idempotent p∈A, where a∈pAp is generalized Drazin invertible. Under assumptions that the generalized Schur complement s=d−cadb∈(1−p)A(1−p) and the element caπb∈(1−p)A(1−p) are generalized Drazin invertible, we establish some formulae for the generalized Drazin inverse of x in terms of a matrix in the generalized Banachiewicz-Schur form and its powers. We develop necessary and sufficient conditions for the existence and the expressions for the group inverse of a block matrix in Banach algebras. The provided results extend earlier works given in the literature.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 439, Issue 8, 15 October 2013, Pages 2468-2478
نویسندگان
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