G-matrices for algebraically stable general linear methods

Adrian T Hill

doi:10.1007/s11075-009-9299-7

G-matrices for algebraically stable general linear methods

Adrian T Hill

Department of Mathematical Sciences

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

5 Citations (SciVal)

Abstract

This paper describes a technique from Control whereby the G-matrix for an algebraically stable general linear method may be found in terms of the generalised eigenvectors of a generalised eigenproblem associated with the method.

Original language	English
Pages (from-to)	281-292
Number of pages	12
Journal	Numerical Algorithms
Volume	53
Issue number	2-3
Early online date	11 May 2009
DOIs	https://doi.org/10.1007/s11075-009-9299-7
Publication status	Published - 1 Mar 2010

Bibliographical note

Hill, A. T. International Conference on Numerical Solution of Differential Equations Jul 14-25, 2008 Auckland, NEW ZEALAND Sp. Iss. SI

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10.1007/s11075-009-9299-7

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title = "G-matrices for algebraically stable general linear methods",

abstract = "This paper describes a technique from Control whereby the G-matrix for an algebraically stable general linear method may be found in terms of the generalised eigenvectors of a generalised eigenproblem associated with the method.",

author = "Hill, \{Adrian T\}",

note = "Hill, A. T. International Conference on Numerical Solution of Differential Equations Jul 14-25, 2008 Auckland, NEW ZEALAND Sp. Iss. SI",

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AB - This paper describes a technique from Control whereby the G-matrix for an algebraically stable general linear method may be found in terms of the generalised eigenvectors of a generalised eigenproblem associated with the method.

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JO - Numerical Algorithms

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G-matrices for algebraically stable general linear methods

Abstract

Bibliographical note

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