Extensions of theory of regular and weak regular splittings to singular matrices

DOI10.15352/AOT.1706-1188zbMath1390.15012MaRDI QIDQ1704300

Litismita Jena

Publication date: 9 March 2018

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aot/1513328640

zbMATH Keywords

comparison theoremDrazin inversegroup inverseconvergence theoremnon-negativityindex-proper splittings

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09)

Related Items (3)

Index-proper nonnegative splittings of matrices ⋮ Three-step alternating iterations for index 1 and non-singular matrices ⋮ A note on different subclass of index-proper splittings for singular matrices

Cites Work

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• Nonnegative splittings for rectangular matrices
• \(B_D\)-splittings of matrices
• Comparison results for proper nonnegative splittings of matrices
• Moore-Penrose inverse positivity of interval matrices
• Comparison theorems for weak splittings of bounded operators
• Nonnegative Drazin inverses
• Index splitting for the Drazin inverse and the singular linear system
• Index-range monotonicity and index-proper splittings of matrices
• Convergence and comparison theorems for single and double decompositions of rectangular matrices
• A note on index-proper multisplittings of matrices
• Convergence and comparison theorems for double splittings of matrices
• Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems

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