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Numerical solution of singular Lyapunov equations.

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Neural network for computing GSVD and RSVD.

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Control-based algorithms for high dimensional online learning.

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Inheritance properties of Krylov subspace methods for continuous-time algebraic Riccati equations.

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Decoupled Structure-Preserving Doubling Algorithm with Truncation for Large-Scale Algebraic Riccati Equations.

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Highly accurate decoupled doubling algorithm for large-scale M-matrix algebraic Riccati equations.

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CoRR, 2020

A decoupled form of the structure-preserving doubling algorithm with low-rank structures.

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Small-sample statistical condition estimation of rational Riccati equations.

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Doubling algorithm for the discretized Bethe-Salpeter eigenvalue problem.

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Numerical solution to a linear equation with tensor product structure.

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Numer. Linear Algebra Appl., 2017

Projected nonsymmetric algebraic Riccati equations and refining estimates of invariant and deflating subspaces.

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Backward errors and small-sample condition estimation for ⋆-Sylveter equations.

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Numerical solution to generalized Lyapunov/Stein and rational Riccati equations in stochastic control.

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Homotopy for Rational Riccati Equations Arising in Stochastic Optimal Control.

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SIAM J. Sci. Comput., 2015

Large-scale discrete-time algebraic Riccati equations - Doubling algorithm and error analysis.

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Solving Large-Scale Nonsymmetric Algebraic Riccati Equations by Doubling.

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SIAM J. Matrix Anal. Appl., 2013

Pole assignment for linear and quadratic systems with time-delay in control.

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Low-rank approximation to the solution of a nonsymmetric algebraic Riccati equation from transport theory.

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On the ⋆-Sylvester equation AX ± X<sup>⋆</sup> B<sup>⋆</sup> = C.

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The Rayleigh-Ritz method, refinement and Arnoldi process for periodic matrix pairs.

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A structure-preserving doubling algorithm for quadratic eigenvalue problems arising from time-delay systems.

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Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case.

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Projected Generalized Discrete-Time Periodic Lyapunov Equations and Balanced Realization of Periodic Descriptor Systems.

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Pole assignment via the schur form.

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Perturbation of Eigenvalues for Matrix Polynomials via The Bauer-Fike Theorems.

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Derivatives of Eigenvalues and Eigenvectors of Matrix Functions.

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Bordered Matrices, Singular Systems, and Ergodic Markov Chains.

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