A note on computing the Drazin inverse
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 کاملA note on the representations for the Drazin inverse of 2 × 2 block matrices
In 1979, Campbell and Meyer proposed the problem of finding a formula for the Drazin inverse of a 2 × 2 matrix M = [ A B C D ] in terms of its various blocks, where the blocks A and D are required to be square matrices. Special cases of the problems have been studied. In particular, a representation of the Drazin inverse of M , denoted by MD , has recently been obtained under the assumptions th...
متن کاملA note on the representation for the Drazin inverse of 2× 2 block matrices
In this note the representations of the Drazin inverse of a 2×2 block matrix M = [ A B C D ] , where A and D are square matrices, have been recently developed under some assumptions. We derive formulae for the Drazin inverse of a block matrix M under conditions weaker than those in the papers [9], [11], [12] and [14]. 2000 Mathematics Subject Classification: 15A09
متن کاملInterpolation algorithm for computing Drazin inverse of polynomial matrices
In this paper we introduce an interpolation method for computing the Drazin inverse of a given polynomial matrix. This method is an extension of the known method from [15], applicable to usual matrix inverse. Also, we improve our interpolation method, using a more effective estimation of degrees of polynomial matrices generated in Leverrier-Faddev method. Algorithms are implemented and tested i...
متن کاملContinuity of the Drazin Inverse
In this paper we investigate the continuity of the Drazin inverse of a bounded linear operator on Banach space. Then as a corollary, among other things, we get the well known result of Campbell and Meyer ([1]) for the continuity of the Drazin inverse of square matrix.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1976
ISSN: 0024-3795
DOI: 10.1016/0024-3795(76)90010-0