Characterizing Matrices That Are Consistent with Given Solutions

DOI10.1137/060675691zbMath1176.15005OpenAlexW1977181654MaRDI QIDQ3642839

David Titley-Peloquin, Xiao-Wen Chang, Christopher C. Paige

Publication date: 6 November 2009

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f6afa6c572df2355a880788592fc976d6ab8f245

zbMATH Keywords

stopping criteriaapproximate solutionsiterative methodsleast squarestotal least squaresbackward errorslinear algebraic equationsdata least squaresscaled total least squaresmatrix characterization

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Inverse problems in linear algebra (15A29) Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06) Orthogonalization in numerical linear algebra (65F25) Error analysis and interval analysis (65G99)

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Uses Software

• VanHuffel