Compute limλ → 0X(λIp+YAX)−1Yby the product singular value decomposition

DOI10.1080/03081087.2015.1034641zbMath1336.15003OpenAlexW2031980157MaRDI QIDQ2789420

Yongxin Yuan, Kezheng Zuo

Publication date: 29 February 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1034641

zbMATH Keywords

Drazin inversegeneralized inverseMoore-Penrose inversegroup inverseBott-Duffin inversecore inversecore-EP inverseproduct singular-value decomposition

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09)

Related Items (5)

Further characterizations of the weak group inverse of matrices and the weak group matrix ⋮ Further characterizations of the CMP inverse of matrices ⋮ Characterizations and representations of the core inverse and its applications ⋮ Different characterizations of DMP-inverse of matrices ⋮ The new revisitation of core EP inverse of matrices

Cites Work

• A tree of generalizations of the ordinary singular value decomposition
• The generalized Bott-Duffin inverse and its applications
• The \(\{\) 2\(\}\)-inverse with applications in statistics
• Partial orders based on outer inverses
• Convergence of Newton-like methods for singular operator equations using outer inverses
• On the nonuniqueness of the factorization factors in the product singular value decomposition
• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• Generalized inverses. Theory and applications.
• Iterative methods for computing the generalized inverses \(A^{(2)}_{T,S}\) of a matrix \(A\)
• Characterizations of the core inverse and the core partial ordering
• Core inverse of matrices
• Core–EP inverse
• Computation of Generalized Inverse Matrices which Satisfy Specified Conditions

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