A hyperpower iterative method for computing the generalized Drazin inverse of Banach algebra element
نویسندگان
چکیده
منابع مشابه
A Higher Order Iterative Method for Computing the Drazin Inverse
A method with high convergence rate for finding approximate inverses of nonsingular matrices is suggested and established analytically. An extension of the introduced computational scheme to general square matrices is defined. The extended method could be used for finding the Drazin inverse. The application of the scheme on large sparse test matrices alongside the use in preconditioning of line...
متن کاملExpressions for the generalized Drazin inverse of a block matrix in a Banach algebra
We present some new representations for the generalized Drazin inverse of a block matrix with generalized Schur complement being generalized Drazin invertible in a Banach algebra under conditions weaker than those used in recent papers on the subject.
متن کاملGeneralized Drazin inverse of certain block matrices in Banach algebras
Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.
متن کاملGroup Inverse and Generalized Drazin Inverse of Block Matrices in a Banach Algebra
Let A be a complex unital Banach algebra with unit 1. The sets of all invertible and quasinilpotent elements (σ(a) = {0}) of A will be denoted by A and A, respectively. The group inverse of a ∈ A is the unique element a ∈ A which satisfies aaa = a, aaa = a, aa = aa. If the group inverse of a exists, a is group invertible. Denote by A the set of all group invertible elements of A. The generalize...
متن کاملEla Some Additive Results for the Generalized Drazin Inverse in a Banach Algebra
In this note, additive results are presented for the generalized Drazin inverse in Banach algebra. Necessary and sufficient conditions are given for the generalized Drazin invertibility of the sum of two commuting generalized Drazin invertible elements. These results are a generalization of the results from the paper [C.Y. Deng and Y. Wei. New additive results for the generalized Drazin inverse...
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ژورنال
عنوان ژورنال: Sādhanā
سال: 2017
ISSN: 0256-2499,0973-7677
DOI: 10.1007/s12046-017-0607-y