J. Saak

activity

20152026

most citedA numerical comparison of solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems

46 citations · 165 across the 25 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

math.NA2024★ 1 cited

A unifying framework for ADI-like methods for linear matrix equations and beneficial consequences

Jonas Schulze, Jens Saak

We derive the alternating-directions implicit (ADI) method based on a commuting operator split and apply the results in detail to the continuous time algebraic Lyapunov equation wi…

math.NA2024

Numerical methods for closed-loop systems with non-autonomous data

B. Baran, P. Benner, J. Saak +1

By computing a feedback control via the linear quadratic regulator (LQR) approach and simulating a non-linear non-autonomous closed-loop system using this feedback, we combine two…

math.NA2024★ 4 cited

Using $L D L^{T}$ factorizations in Newton's method for solving general large-scale algebraic Riccati equations

Jens Saak, Steffen W. R. Werner

Continuous-time algebraic Riccati equations can be found in many disciplines in different forms. In the case of small-scale dense coefficient matrices, stabilizing solutions can be…

A unifying framework for ADI-like methods for linear matrix equations and beneficial consequences

Numerical methods for closed-loop systems with non-autonomous data

Using LDLT factorizations in Newton's method for solving general large-scale algebraic Riccati equations

Using $L D L^{T}$ factorizations in Newton's method for solving general large-scale algebraic Riccati equations