On the tripling algorithm for large-scale nonlinear matrix equations with low rank structure
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Publication:2349537
DOI10.1016/j.cam.2015.03.036zbMath1328.65106OpenAlexW1968929473MaRDI QIDQ2349537
Publication date: 22 June 2015
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2015.03.036
cyclic reductionlow rankdoubling algorithmnano researchlarge-scale nonlinear matrix equationstripling algorithm
Related Items (5)
The structure-preserving doubling algorithm and convergence analysis for a nonlinear matrix equation ⋮ Doubling Algorithm for Nonsymmetric Algebraic Riccati Equations Based on a Generalized Transformation ⋮ 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 ⋮ Structured Shamanskii methods for Chandrasekhar equation arising from radiation
Cites Work
- Monotone convergence of Newton-like methods for \(M\)-matrix algebraic Riccati equations
- Solving large-scale nonlinear matrix equations by doubling
- Numerical solution of nonlinear matrix equations arising from Green's function calculations in nano research
- Solving large-scale continuous-time algebraic Riccati equations by doubling
- Complex symmetric stabilizing solution of the matrix equation \(X+A^{\top}X^{-1}A=Q\)
- Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms
- Computations with infinite Toeplitz matrices and polynomials
- Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\)
- On the semigroup of standard symplectic matrices and its applications
- Structure-preserving Arnoldi-type algorithm for solving eigenvalue problems in leaky surface wave propagation
- Large-scale Stein and Lyapunov equations, Smith method, and applications
- Low-rank approximation to the solution of a nonsymmetric algebraic Riccati equation from transport theory
- Low memory and low complexity iterative schemes for a nonsymmetric algebraic Riccati equation arising from transport theory
- On the Iterative Solution of a Class of Nonsymmetric Algebraic Riccati Equations
- Solving a Quadratic Matrix Equation by Newton's Method with Exact Line Searches
- Solving Large-Scale Nonsymmetric Algebraic Riccati Equations by Doubling
- On a Nonlinear Matrix Equation Arising in Nano Research
- The Matrix Equation $X+A^TX^{-1}A=Q$ and Its Application in Nano Research
- Complex dispersion relation calculations with the symmetric interior penalty method
- 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
- Numerical analysis of a quadratic matrix 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
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