Articles with "schur complement" as a keyword



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Control design for discrete-time bilinear systems using the scalarized Schur complement

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Published in 2017 at "International Journal of Robust and Nonlinear Control"

DOI: 10.1002/rnc.3807

Abstract: In this paper, controller design for discrete time bilinear systems is investigated by using Sum of Squares (SOS) programming methods and quadratic Lyapunov functions. The class of rational polynomial controllers are considered, and necessary conditions… read more here.

Keywords: design discrete; schur complement; discrete time; bilinear systems ... See more keywords
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The disc separation and the eigenvalue distribution of the Schur complement of nonstrictly diagonally dominant matrices

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Published in 2017 at "Journal of Inequalities and Applications"

DOI: 10.1186/s13660-017-1340-0

Abstract: The result on the GerÅ¡gorin disc separation from the origin for strictly diagonally dominant matrices and their Schur complements in (Liu and Zhang in SIAM J. Matrix Anal. Appl. 27(3):665-674, 2005) is extended to nonstrictly… read more here.

Keywords: schur complement; diagonally dominant; separation; nonstrictly diagonally ... See more keywords
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Efficient method for accelerating line searches in adjoint optimization of photonic devices by combining Schur complement domain decomposition and Born series expansions.

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Published in 2022 at "Optics express"

DOI: 10.1364/oe.451718

Abstract: A line search in a gradient-based optimization algorithm solves the problem of determining the optimal learning rate for a given gradient or search direction in a single iteration. For most problems, this is determined by… read more here.

Keywords: born series; search; complement domain; line ... See more keywords