The Lanczos-Arnoldi algorithm and controllability

D. L. Boley; G. H. Golub

doi:10.1016/S0167-6911(84)80072-9

The Lanczos-Arnoldi algorithm and controllability

D. L. Boley, G. H. Golub

Computer Science and Engineering

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

We present methods for computing the controllable space of a Linear Dynamic System. The methods are based on orthogonalizing Krylov sequences and can use much less storage than other methods with little or no loss of numerical stability.

Original language	English (US)
Pages (from-to)	317-324
Number of pages	8
Journal	Systems and Control Letters
Volume	4
Issue number	6
DOIs	https://doi.org/10.1016/S0167-6911(84)80072-9
State	Published - Sep 1984

Keywords

Controllability
Lanczos algorithm
Large scale system
Linear systems
Numerical methods

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10.1016/S0167-6911(84)80072-9

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title = "The Lanczos-Arnoldi algorithm and controllability",

abstract = "We present methods for computing the controllable space of a Linear Dynamic System. The methods are based on orthogonalizing Krylov sequences and can use much less storage than other methods with little or no loss of numerical stability.",

keywords = "Controllability, Lanczos algorithm, Large scale system, Linear systems, Numerical methods",

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year = "1984",

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AU - Golub, G. H.

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KW - Linear systems

KW - Numerical methods

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