Refined rigorous perturbation bounds for the SR decomposition
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Publication:2076709
DOI10.1007/s11766-021-4086-xzbMath1499.65140OpenAlexW4200190920MaRDI QIDQ2076709
Publication date: 22 February 2022
Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11766-021-4086-x
Banach fixed point theoremLyapunov majorant functionrigorous perturbation boundSR decompositionmixed and componentwise condition numbers
Factorization of matrices (15A23) Numerical computation of matrix norms, conditioning, scaling (65F35)
Uses Software
Cites Work
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- Block Kronecker products and the vecb operator
- Optimal symplectic Householder transformations for \(SR\) decomposition
- Error analysis and computational aspects of SR factorization via optimal symplectic Householder transformations
- A Schur decomposition for Hamiltonian matrices
- A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix
- Self-similar flows
- The autonomous linear quadratic control problem. Theory and numerical solution
- Matrix factorizations and their perturbations
- Perturbation theory for matrix equations
- Matrix Riccati equations in control and systems theory
- Condition numbers of algebraic Riccati equations in the Frobenius norm
- On the sensitivity of the SR decomposition
- Matrix factorizations for symplectic QR-like methods
- Rounding error and perturbation bounds for the symplectic QR factorization
- Structured condition numbers and statistical condition estimation for the \(LDU\) factorization
- Sensitivity analysis for the generalized Cholesky factorization
- Symplectic Householder transformations for a QR-like decomposition, a geometric and algebraic approaches
- On theoretical and numerical aspects of symplectic Gram-Schmidt-like algorithms
- Sensitivity analysis for the SR decomposition
- On mixed and componentwise condition numbers for Moore–Penrose inverse and linear least squares problems
- A symplectic QR like algorithm for the solution of the real algebraic Riccati equation
- Accuracy and Stability of Numerical Algorithms
- On condition numbers for the canonical generalized polar decompostion of real matrices
- New rigorous perturbation bounds for the Cholesky-like factorization of skew-symmetric matrix