Solving large-scale nonlinear matrix equations by doubling
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Publication:389555
DOI10.1016/j.laa.2012.08.008zbMath1305.15043OpenAlexW2009014616MaRDI QIDQ389555
Wen-Wei Lin, Yueh-Cheng Kuo, Eric King-Wah Chu, Peter Chang-Yi Weng
Publication date: 21 January 2014
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2012.08.008
Green's functionnonlinear matrix equationsurface acoustic waveKrylov subspacedoubling algorithmleaky surface wavenano research
Related Items (5)
On the first degree Fejér-Riesz factorization and its applications to \(X+A^{\ast}X^{-1}A=Q\) ⋮ Large-scale discrete-time algebraic Riccati equations -- doubling algorithm and error analysis ⋮ Decoupled low-rank iterative methods for a large-scale system of nonlinear matrix equations arising from electron transport of nano materials ⋮ A dynamically parameterized inversion-free iteration for a system of nonlinear matrix equation ⋮ On the tripling algorithm for large-scale nonlinear matrix equations with low rank structure
Cites Work
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- Numerical solution of nonlinear matrix equations arising from Green's function calculations in nano research
- Complex symmetric stabilizing solution of the matrix equation \(X+A^{\top}X^{-1}A=Q\)
- Transforming algebraic Riccati equations into unilateral quadratic matrix equations
- Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms
- Palindromic eigenvalue problems: A brief survey
- Computations with infinite Toeplitz matrices and polynomials
- A structure-preserving doubling algorithm for continuous-time algebraic Riccati equations
- Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\)
- Perturbation analysis of the maximal solution of the matrix equation \(X+A^*X^{-1}A=P\). II
- A structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equation
- On a Nonlinear Matrix Equation Arising in Nano Research
- The Matrix Equation $X+A^TX^{-1}A=Q$ and Its Application in Nano Research
- Solving a Structured Quadratic Eigenvalue Problem by a Structure-Preserving Doubling Algorithm
- Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case
- Structure-Preserving Algorithms for Palindromic Quadratic Eigenvalue Problems Arising from Vibration of Fast Trains
- Second-order convergent algorithms for the steady-state Riccati equation†
- Efficient computation of the extreme solutions of $X+A^*X^{-1}A=Q$ and $X-A^*X^{-1}A=Q$
- Structure-Preserving Algorithms for Periodic Discrete-Time Algebraic Riccati Equations
- Convergence Analysis of Structure-Preserving Doubling Algorithms for Riccati-Type Matrix Equations
- Perturbation analysis of the maximal solution of the matrix equation \(X+A^*X^{-1}A=P\)
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