Error analysis of an algorithm for solving an undetermined linear system

DOI10.1007/BF01390423zbMath0543.65012MaRDI QIDQ796245

A. Laratta, Mario Arioli

Publication date: 1985

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132995

zbMATH Keywords

error analysisprojectionlinear manifoldorthogonal matrix decompositionstesting the linear dependence

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05) Orthogonalization in numerical linear algebra (65F25)

Related Items

Error analysis of algorithms for computing the projection of a point onto a linear manifold, On the estimation of numerical error bounds in linear algebra based on discrete stochastic arithmetic, A big-M type method for the computation of projections onto polyhedrons, Direct methods for the solution of linear systems

Uses Software

• LINPACK

Cites Work

• Numeric computation of the projection of a point onto a polyhedron
• Error analysis of QR decompositions by Givens transformations
• A factorization method for the solution of constrained linear least squares problems allowing subsequent data changes
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