Structured perturbations and symmetric matrices
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Publication:1307283
DOI10.1016/S0024-3795(97)10078-7zbMath0949.65039MaRDI QIDQ1307283
Publication date: 21 November 2000
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Ill-posedness and regularization problems in numerical linear algebra (65F22) Hermitian, skew-Hermitian, and related matrices (15B57) Conditioning of matrices (15A12)
Uses Software
Cites Work
- Optimally scaled matrices
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- 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
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