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The regularly structured pseudospectrum
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Yu. M. Nechepurenko
Published/Copyright:
2004
We define the regularly structured pseudospectrum of a square complex matrix and describe its main properties. Using a difference one-dimensional convection-diffusion operator as an example, we explain why the regularly structured pseudospectrum is better than the ordinary pseudospectrum when we are interested in the question of how the minimal-in-magnitude eigenvalues of the finite-dimensional approximation of a differential operator can vary when its coefficients are perturbed.
Published Online: --
Published in Print: 2004-06-01
Copyright 2004, Walter de Gruyter
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Articles in the same Issue
- Preface
- Iterative processes for some boundary value problems of hydrodynamics
- New Monte Carlo global weight method for the approximate solution of the nonlinear Boltzmann equation
- Numerical solution of the ocean data assimilation problem
- On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part II
- The regularly structured pseudospectrum
- On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
Articles in the same Issue
- Preface
- Iterative processes for some boundary value problems of hydrodynamics
- New Monte Carlo global weight method for the approximate solution of the nonlinear Boltzmann equation
- Numerical solution of the ocean data assimilation problem
- On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part II
- The regularly structured pseudospectrum
- On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
