Hermitian spectral pseudoinversion and its applications

DOI10.1134/S0001434614070104zbMath1316.15005OpenAlexW2094909379MaRDI QIDQ2342343

Yuri M. Nechepurenko

Publication date: 11 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434614070104

zbMATH Keywords

Lyapunov equationinitial value problemmatrix pencildeflating subspaceobservability Gramianbalanced truncation methodcontrollability GramianHermitian differential-algebraic systemHermitian spectral pseudoinversion

Mathematics Subject Classification ID

Controllability (93B05) Theory of matrix inversion and generalized inverses (15A09) Implicit ordinary differential equations, differential-algebraic equations (34A09) Observability (93B07) Matrix pencils (15A22)

Cites Work

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• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Templates for the Solution of Algebraic Eigenvalue Problems
• Low-Rank Solution of Lyapunov Equations

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