Equilibration of matrices to optimize backward numerical stability

DOI10.1007/BF01931366zbMath0329.65029OpenAlexW2077890237MaRDI QIDQ4095777

Frans Lemeire

Publication date: 1976

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01931366

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Roundoff error (65G50)

Cites Work

• Optimally scaled matrices
• Scaling of matrices to achieve specified row and column sums
• Condition numbers and equilibration of matrices
• Condition, equilibration and pivoting in linear algebraic systems
• Balancing a matrix for calculation of eigenvalues and eigenvectors
• On Pre-Conditioning of Matrices
• Solving linear least squares problems by Gram-Schmidt orthogonalization
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