The geometry of basic, approximate, and minimum-norm solutions of linear equations

DOI10.1016/0024-3795(93)00093-FzbMath0821.15004MaRDI QIDQ1805212

Adi Ben-Israel, Jian-Ming Miao

Publication date: 28 September 1995

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

zbMATH Keywords

minimum-norm solutionsscaled least-squares solutions

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Linear equations (linear algebraic aspects) (15A06)

Related Items (2)

Equivalent formulae for the supremum and stability of weighted pseudoinverses ⋮ On \(l_ p\)-approximate solutions of linear equations

Cites Work

• The geometry of the set of scaled projections
• A geometric property of the least squares solution of linear equations
• A volume associated with \(m{\times}n\) matrices
• Computational experiences with discrete L\(_p\)-approximation
• Three results in connection with inverse matrices
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