Structured perturbations and symmetric matrices

DOI10.1016/S0024-3795(97)10078-7zbMath0949.65039MaRDI QIDQ1307283

Siegfried Michael Rump

Publication date: 21 November 2000

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

zbMATH Keywords

condition numbersymmetric matricesstructured perturbationsnearest ill-posed problem

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Hermitian, skew-Hermitian, and related matrices (15B57) Conditioning of matrices (15A12)

Uses Software

• mctoolbox

Cites Work

• Optimally scaled matrices
• Interval linear systems with symmetric matrices, skew-symmetric matrices and dependencies in the right hand side
• New condition numbers for matrices and linear systems
• Componentwise perturbation theory for linear systems with multiple right- hand sides
• Condition numbers and their condition numbers
• Bounds for the Componentwise Distance to the Nearest Singular Matrix
• Approximability by Weighted Norms of the Structured and VolumetricSingular Values of a Class of Nonnegative Matrices
• Scaling for Numerical Stability in Gaussian Elimination
• Iterative Refinement Implies Numerical Stability for Gaussian Elimination
• The Componentwise Distance to the Nearest Singular Matrix
• Interval Methods for Systems of Equations
• On the Shape of the Symmetric, Persymmetric, and Skew-Symmetric Solution Set
• Almost Sharp Bounds for the Componentwise Distance to the Nearest Singular Matrix
• Zusammenfassender Bericht. Genauigkeitsfragen bei der Lösung linearer Gleichungssysteme
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Structured perturbations and symmetric matrices