Algebraic perturbation methods for the solution of singular linear systems

DOI10.1016/0024-3795(81)90220-2zbMath0454.15002OpenAlexW2095326057MaRDI QIDQ1149490

Luis Kramarz

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0024-3795(81)90220-2

zbMATH Keywords

algebraic perturbation methods for solution of singular linear systems

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear equations (linear algebraic aspects) (15A06)

Related Items (5)

Approximating eigenfunctions of Fredholm operators in Banach spaces ⋮ Group and Moore-Penrose inverses of regular morphisms with kernel and cokernel ⋮ Finite rank modifications and generalized inverses of Fredholm operators ⋮ Execute elementary row and column operations on the partitioned matrix to compute M-P inverse \(A^!\) ⋮ The computation and perturbation analysis for weighted group inverse of rectangular matrices

Cites Work

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• Partitioning, tearing and modification of sparse linear systems
• Inverse Iteration, Ill-Conditioned Equations and Newton’s Method
• Computable Accurate Upper and Lower Error Bounds for Approximate Solutions of Linear Algebraic Systems
• An Estimate for the Condition Number of a Matrix

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