On algorithms for generalised smoothing splines

M. R. Osborne; Tania Prvan

doi:10.1017/S0334270000005841

On algorithms for generalised smoothing splines

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

Abstract

Recently, considerable interest has been shown in the connection between smoothing splines and a particular class of stochastic processes. Here the connection with an equivalent class of least squares problems is used to develop algorithms, and properties of the solution are examined. We give an estimate of the condition number of the solution process and compare this with an estimate for the condition number of the Reinsch algorithm in its conventional implementation.

Original language	English
Pages (from-to)	322-341
Number of pages	20
Journal	Journal of the Australian Mathematical Society Series B-Applied Mathematics
Volume	29
Issue number	3
DOIs	https://doi.org/10.1017/S0334270000005841
Publication status	Published - Jan 1988
Externally published	Yes

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title = "On algorithms for generalised smoothing splines",

abstract = "Recently, considerable interest has been shown in the connection between smoothing splines and a particular class of stochastic processes. Here the connection with an equivalent class of least squares problems is used to develop algorithms, and properties of the solution are examined. We give an estimate of the condition number of the solution process and compare this with an estimate for the condition number of the Reinsch algorithm in its conventional implementation.",

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AB - Recently, considerable interest has been shown in the connection between smoothing splines and a particular class of stochastic processes. Here the connection with an equivalent class of least squares problems is used to develop algorithms, and properties of the solution are examined. We give an estimate of the condition number of the solution process and compare this with an estimate for the condition number of the Reinsch algorithm in its conventional implementation.

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DO - 10.1017/S0334270000005841

M3 - Article

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JO - Journal of the Australian Mathematical Society Series B-Applied Mathematics

JF - Journal of the Australian Mathematical Society Series B-Applied Mathematics

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On algorithms for generalised smoothing splines

Abstract

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