AN EXTENDED BLOCK ARNOLDI ALGORITHM FOR LARGE-SCALE SOLUTIONS OF THE CONTINUOUS-TIME ALGEBRAIC RICCATI EQUATI ON ∗

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On the benefits of the LDLT factorization for large-scale differential matrix equation solvers (2015, methodology): “, Krylov subspace methods [26, 31, 32], using Newton’s method or other methods [47] in every time step.”
On two numerical methods for the solution of large-scale algebraic Riccati equations (2014, methodology): “Using a similar philosophy to that for Lyapunov, in [27] it was proposed to apply the same projection procedure with a Galerkin condition, directly to the Riccati equation (1.”