A small note on the scaling of symmetric positive definite semiseparable matrices

DOI10.1007/s11075-006-9014-xzbMath1092.65038OpenAlexW2148524964MaRDI QIDQ2494387

Gene H. Golub, Marc Van Barel, Raf Vandebril

Publication date: 26 June 2006

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/123791

zbMATH Keywords

numerical experimentscondition numbersemiseparable matricesproperty Adiagonal scalinginversion of semiseparable matricessymmetric positive definite tridiagonal matrices

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05) Conditioning of matrices (15A12)

Cites Work

• Unnamed Item
• Optimally scaled matrices
• On inverting a class of patterned matrices
• A note on the representation and definition of semiseparable matrices
• On a Characterization of the Best $l_2 $-Scaling of a matrix
• An Orthogonal Similarity Reduction of a Matrix into Semiseparable Form
• Comparison of the Variance of Minimum Variance and Weighted Least Squares Regression Coefficients
• On Best Conditioned Matrices

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