Results 181 to 190 of about 640 (203)
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2018
Let X be a Hilbert space and L(X) be the vector space of the linear operators from X into X. We denote the set of bounded linear operators from X into X by B(X). In this chapter, we will investigate the definition, basic properties, representation theorem and computational methods for the Drazin inverse of an operator \(T \in B(X)\), \(\mathcal {R}(T^k)
Guorong Wang, Yimin Wei, Sanzheng Qiao
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Let X be a Hilbert space and L(X) be the vector space of the linear operators from X into X. We denote the set of bounded linear operators from X into X by B(X). In this chapter, we will investigate the definition, basic properties, representation theorem and computational methods for the Drazin inverse of an operator \(T \in B(X)\), \(\mathcal {R}(T^k)
Guorong Wang, Yimin Wei, Sanzheng Qiao
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Continuity of The Drazin inverse
Linear and Multilinear Algebra, 1980Let A be an n×n matrix. It is shown that if a matrix  comes close to satisfying the definition of the Drazin inverse of A,AD , then  is close to AD .
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Representation and approximation for the Drazin inverse A(d)
Applied Mathematics and Computation, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Extensions of Jacobson’s lemma for Drazin inverses
Aequationes mathematicae, 2017Let \(R\) be a ring with an identity. The Jacobson's lemma states that if \(a,b\in R\) and \(1-ab\) is an invertible element, then \(1-ba\) is also an invertible element and \((1-ba)^{-1}= 1+b(1-ab)^{-1}a\). In this paper, the author uses the following concepts: group invertible elements of \(R\), Drazin invertible, generalized Drazin invertible ...
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A Representation of the Drazin Inverse and Characterizations of the Index
SIAM Journal on Applied Mathematics, 1976A representation for the Drazin inverse of an arbitrary square matrix in terms of the eigenprojection is established in this paper. The Laurent expansion of the resolvent of our matrix has coefficients (for the nonnegative indices) which are powers of the Drazin inverse.
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Representations for the Drazin Inverse of a 2 x 2 Block Matrix
SIAM Journal on Matrix Analysis and Applications, 2005Xiezhang Li, Yimin Wei
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Expressions for the drazin inverse of a 2×2 Block Matrix
Linear and Multilinear Algebra, 1998Yimin Wei
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Further results on the Drazin inverse of even‐order tensors
Numerical Linear Algebra With Applications, 2020Ratikanta Behera +2 more
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