Computing Extremal Points of Symplectic Pseudospectra and Solving Symplectic Matrix Nearness Problems
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[1] Francesca Bonizzoni,et al. Perturbation Analysis for the Darcy Problem with Log-Normal Permeability , 2014, SIAM/ASA J. Uncertain. Quantification.
[2] Daniel Kressner,et al. On the computation of structured singular values and pseudospectra , 2010, Syst. Control. Lett..
[3] Brian D. O. Anderson,et al. Riccati Equations, Network Theory and Brune Synthesis: Old Solutions for Contemporary Problems , 1999 .
[4] A. Bunse-Gerstner. Matrix factorizations for symplectic QR-like methods , 1986 .
[5] E. Hairer,et al. Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations , 2004 .
[6] Marcus J. Grote,et al. Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects , 2014, Multiscale Model. Simul..
[7] E. Celledoni. Lie group methods , 2009 .
[8] D. Hinrichsen,et al. Mathematical Systems Theory I: Modelling, State Space Analysis, Stability and Robustness , 2010 .
[9] L. Trefethen,et al. Spectra and Pseudospectra , 2020 .
[10] N. Guglielmi,et al. Differential equations for real-structured (and unstructured) defectivity measures , 2014 .
[11] Assyr Abdulle,et al. High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs , 2014, SIAM J. Numer. Anal..
[12] Diederich Hinrichsen,et al. Modelling, state space analysis, stability and robustness , 2005 .
[13] Meiyue Shao. On the finite section method for computing exponentials of doubly-infinite skew-Hermitian matrices , 2014 .
[14] Anders Rantzer,et al. Real Perturbation Values and Real Quadratic Forms in a Complex Vector Space , 1998 .
[15] A. Laub. A schur method for solving algebraic Riccati equations , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.
[16] G. Stewart,et al. Matrix Perturbation Theory , 1990 .
[17] Nicola Guglielmi,et al. Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking , 2011, SIAM J. Numer. Anal..
[18] Albert Cohen,et al. Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs , 2015 .
[19] Daniel Kressner,et al. Low rank differential equations for Hamiltonian matrix nearness problems , 2015, Numerische Mathematik.
[20] A. Quarteroni,et al. Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics , 2014 .
[21] Robert E. Mahony,et al. Optimization Algorithms on Matrix Manifolds , 2007 .
[22] Othmar Koch,et al. Dynamical Low-Rank Approximation , 2007, SIAM J. Matrix Anal. Appl..
[23] S. Rump. EIGENVALUES, PSEUDOSPECTRUM AND STRUCTURED PERTURBATIONS , 2006 .
[24] Nicola Guglielmi,et al. Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra , 2013, SIAM J. Matrix Anal. Appl..
[25] A. Iserles,et al. Lie-group methods , 2000, Acta Numerica.
[26] H. Faßbender. Symplectic Methods for the Symplectic Eigenproblem , 2002, Springer US.
[27] Volker Mehrmann,et al. Perturbation Theory for Hamiltonian Matrices and the Distance to Bounded-Realness , 2011, SIAM J. Matrix Anal. Appl..
[28] B. Datta. Numerical methods for linear control systems : design and analysis , 2004 .
[29] Stef Graillat,et al. STRUCTURED CONDITION NUMBERS AND BACKWARD ERRORS IN SCALAR PRODUCT SPACES , 2006 .
[30] Federico Poloni,et al. Enforcing solvability of a nonlinear matrix equation and estimation of multivariate ARMA time series , 2013 .
[31] Michael Karow,et al. Structured Pseudospectra for Small Perturbations , 2011, SIAM J. Matrix Anal. Appl..
[32] Daniel Kressner,et al. Algorithm 953 , 2015 .
[33] Gianluigi Rozza,et al. Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations , 2016, Numerische Mathematik.
[34] Peter Benner,et al. DAREX - A Collection of Benchmark Examples for Discrete-Time Algebraic Riccati Equations (Version , 1999 .
[35] André Uschmajew,et al. On Convergence of the Maximum Block Improvement Method , 2015, SIAM J. Optim..
[36] G. Rozza,et al. A combination between the reduced basis method and the ANOVA expansion: On the computation of sensitivity indices , 2013 .