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An nD-systems approach to global polynomial optimization with an application to H>inf<2>/inf<model order reduction
Proceedings of the 44th IEEE Conference on Decision and Control
The problem of finding the global minimum of a multivariate polynomial can be approached by the matrix method of Stetter-Möller, which reformulates it as a large eigenvalue problem. The linear operators involved in this approach are studied using the theory of nD-systems. This supports the efficient application of iterative methods for solving eigenvalue problems such as Arnoldi methods and Jacobi-Davidson methods. This approach is demonstrated by an example which addresses optimal H2-model
doi:10.1109/cdc.2005.1582972
fatcat:ojbiijizzrchxbadqsg2yjqjam