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dc.contributor.authorAntoulas, A.C.
Sorensen, D.C.
dc.date.accessioned 2018-06-18T17:48:13Z
dc.date.available 2018-06-18T17:48:13Z
dc.date.issued 2000-05
dc.identifier.citation Antoulas, A.C. and Sorensen, D.C.. "Lyapunov, Lanczos, and Inertia." (2000) https://hdl.handle.net/1911/101942.
dc.identifier.urihttps://hdl.handle.net/1911/101942
dc.description.abstract We present a new proof of the inertia result associated with Lyapunov equations. Furthermore we present a connection between the Lyapunov equation and the Lanczos process which is closely related to the Schwarz form of a matrix. We provide a method for reducing a general matrix to Schwarz form in a finite number of steps (O(n3)). Hence, we provide a finite method for computing inertia without computing eigenvalues. This scheme is unstable numerically and hence is primarily of theoretical interest.
dc.format.extent 12 pp
dc.title Lyapunov, Lanczos, and Inertia
dc.type Technical report
dc.date.note May 2000
dc.identifier.digital TR00-13
dc.type.dcmi Text


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