Nonequivalence transformation of λ-matrix eigenproblems and model embedding approach to model tuning

William R. Ferng; Wen Wei Lin; Daniel J. Pierce; Chern Shuh Wang

doi:10.1002/1099-1506(200101/02)8:1<53::AID-NLA228>3.0.CO;2-3

Nonequivalence transformation of λ-matrix eigenproblems and model embedding approach to model tuning

William R. Ferng
, Wen Wei Lin
, Daniel J. Pierce
, Chern Shuh Wang

數學系

研究成果: Article › 同行評審

13 引文斯高帕斯（Scopus）

摘要

In this paper we present some theory for a non-equivalence transformation of matrix eigenvalues for λ-matrix polynomials. Application of this transformation to eigenvalue embedding for model tuning on a realistic industry problem is illustrated. The new approach has several advantages such as flexibility, efficiency, and structure-preservation. A numerical experiment on a pseudosimulation data set from The Boeing Company is reported.

原文	English
頁（從 - 到）	53-70
頁數	18
期刊	Numerical Linear Algebra with Applications
卷	8
發行號	1
DOIs	https://doi.org/10.1002/1099-1506(200101/02)8:1<53::AID-NLA228>3.0.CO;2-3
出版狀態	Published - 2001

All Science Journal Classification (ASJC) codes

代數與數理論
應用數學

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10.1002/1099-1506(200101/02)8:1<53::AID-NLA228>3.0.CO;2-3

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引用此

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AB - In this paper we present some theory for a non-equivalence transformation of matrix eigenvalues for λ-matrix polynomials. Application of this transformation to eigenvalue embedding for model tuning on a realistic industry problem is illustrated. The new approach has several advantages such as flexibility, efficiency, and structure-preservation. A numerical experiment on a pseudosimulation data set from The Boeing Company is reported.

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ER -

Nonequivalence transformation of λ-matrix eigenproblems and model embedding approach to model tuning

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