Matrix Functions and Matrix Equations
نویسندگان
چکیده
Solving large-scale algebraic Riccati equations (AREs) is one of the central tasks in solving optimal control problems for linear and, using receding-horizon techniques, also nonlinear instationary partial differential equations. Large-scale AREs also occur in several model reduction methods for dynamical systems. Due to sparsity and large dimensions of the resulting coefficient matrices, standard eigensolver-based methods for AREs are not applicable in this context. In the recent two decades, several approaches for such large-scale AREs have been suggested. They mainly fall into two categories:
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تاریخ انتشار 2010