A note on subset selection for matrices

DOI10.1016/j.laa.2010.11.053zbMath1221.15030OpenAlexW2114983089MaRDI QIDQ630536

Robert M. M. Mattheij, Frank R. de Hoog

Publication date: 17 March 2011

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

Full work available at URL: https://research.tue.nl/nl/publications/a-note-on-subset-selection-for-matrices(5f86d83c-ffcd-438e-8e9b-7e3e73c1d620).html

zbMATH Keywords

Frobenius normrankdeterminantsingular valueslower boundspermutation matrixMoore-Penrose inverseoverdetermined

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Vector spaces, linear dependence, rank, lineability (15A03)

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Cites Work

• Subset selection for matrices
• Handbook series linear algebra. Linear least squares solutions by Householder transformations
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
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