Roundoff error estimates of the modified Gram-Schmidt algorithm with column pivoting

DOI10.1023/B:BITN.0000007051.49808.04zbMath1050.65039OpenAlexW2048726978MaRDI QIDQ1431668

Musheng Wei, Qiaohua Liu

Publication date: 11 June 2004

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:bitn.0000007051.49808.04

zbMATH Keywords

least squarescolumn pivotingnumerical rankGram-Schmidt algorithm

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Roundoff error (65G50) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (4)

Gram-Schmidt orthogonalization: 100 years and more ⋮ Stability of the MGS-like elimination method for equality constrained least squares problems ⋮ On growth factors of the modified Gram-Schmidt algorithm ⋮ On direct elimination methods for solving the equality constrained least squares problem

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