A modified ADI method for computing the best least-squares solution of an incompatible system (A \(\times\) I + I \(\times\) B)x = g

DOI10.1016/0024-3795(73)90053-0zbMath0255.65024OpenAlexW2052428346MaRDI QIDQ2558745

Frederick D. Ullman, David L. Powers, Victor Lovass-Nagy

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0024-3795(73)90053-0

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Iterative numerical methods for linear systems (65F10) Multilinear algebra, tensor calculus (15A69)

Related Items (2)

The direct solution of the discrete Poisson equation on the surface of a sphere ⋮ Regular splittings and the discrete Neumann problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Direct solution of partial difference equations by tensor product methods
• On convergence of alternating direction procedures in the presence of singular operators
• On the Solution of Singular and Semidefinite Linear Systems by Iteration
• The Use of Multiple Deflations in the Numerical Solution of Singular Systems of Equations, with Applications to Potential Theory
• On Optimal Alternating Direction Parameters for Singular Matrices
• A Relation Between the Moore–Penrose and Commuting Reciprocal Inverses

This page was built for publication: A modified ADI method for computing the best least-squares solution of an incompatible system (A \(\times\) I + I \(\times\) B)x = g