Condition numbers of rectangular systems and bounds for generalized inverses

DOI10.1016/0024-3795(86)90024-8zbMath0614.65048OpenAlexW2048924620MaRDI QIDQ1819892

Stephen Demko

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90024-8

zbMATH Keywords

condition numbergeneralized inversematrix norm

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (2)

The generalized condition numbers of bounded linear operators in Banach spaces ⋮ Conditioning of linear systems arising from penalty methods

Cites Work

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• On projections in \(L_1\)
• On uncomplemented subspaces of \(L_p\), \(1<p<2\)
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Almost Isometric L _p Subspaces of L _p (0, 1)
• Finite dimensional subspaces of $L_{p}$
• Numerical Linear Algebra

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