Optimally scaled matrices, necessary and sufficient conditions

DOI10.1007/BF01408697zbMath0472.65038MaRDI QIDQ1157878

Alexander Shapiro

Publication date: 1982

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132794

zbMATH Keywords

condition numberconvex programmingoptimal scalingoptimally scaled matrix

Mathematics Subject Classification ID

Convex programming (90C25) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

A control-theoretic view of diagonal preconditioners ⋮ Relations between condition numbers and the convergence of the Jacobi method for real positive definite matrices

Cites Work

• Unnamed Item
• Optimally scaled matrices
• Weighted minimum trace factor analysis
• Condition numbers and equilibration of matrices
• Convex Analysis
• On Best Conditioned Matrices