Aspects of nonnormality for iterative methods
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Publication:1765891
DOI10.1016/j.laa.2004.06.026zbMath1066.65038OpenAlexW2021789907MaRDI QIDQ1765891
Publication date: 23 February 2005
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2004.06.026
algorithmsRitz valuescirculant matrixiterative methods for linear systemsinvolutionunitary orbitnonnormal matrixbinormal matrixmeasure of nonnormalityminimal normal polynomialpolynomially normal operator
Computational methods for sparse matrices (65F50) Hermitian, skew-Hermitian, and related matrices (15B57) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)
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Polynomials and lemniscates of indefiniteness ⋮ Quadratically normal matrices of type 1 and unitary similarities between them
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Cites Work
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- A survey of canonical forms and invariants for unitary similarity
- Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
- Normal approximants to binormal operators
- How well can an n\(\times n\) matrix be approximated by reducible ones?
- Normal matrices
- On measures of nonnormality of matrices
- Stratification of real analytic mappings and images
- Classification of hereditary matrices
- Minimal decompositions and iterative methods
- Roots and logarithms of bounded operators on Hilbert space
- Numerical solution of the Lyapunov equation by approximate power iteration
- On matrices that admit unitary reduction to band form
- On roots of normal operators
- A Matrix Nearness Problem Related to Iterative Methods
- A Stratification of the Set of Normal Matrices
- Exclusion and Inclusion Regions for the Eigenvalues of a Normal Matrix
- A Hermitian Lanczos Method for Normal Matrices
- How Fast are Nonsymmetric Matrix Iterations?
- Nearest normal approximation for certain operators
- GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems
- Hereditary Classes of Operators and Matrices
- A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
- Solution Methods for $\mathbb R$-Linear Problems in $\mathbb C^n $
- Conjugate Gradient Methods for Toeplitz Systems
- Orthogonal polyanalytic polynomials and normal matrices
- On the structure of polynomially normal operators
- The Unitary Equivalence of Binormal Operators