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

Numerical Linear Algebra with Applications

Volumn 8, Issue 1, 2001, Pages 53-70

  Ferng, William R ^a   Lin, Wen Wei ^b   Pierce, Daniel J ^c   Wang, Chern Shuh ^d  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

^c BOEING COMPANY   (United States)

^d NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Eigenvalue embedding; Model tuning; Non equivalence transformation; Pole assignment; System identification

Indexed keywords

EID: 0035585434     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/1099-1506(200101/02)8:1<53::AID-NLA228>3.0.CO;2-3     Document Type: Article

References (14)

1. Juang J-N. Applied System Identification. Prentice-Hall: Englewood Cliffs, NJ, 1994.
2. Fritchman B, Pierce DJ. Model embedding approach to model tuning. Technical Report ISSTECH-96-026, The Boeing Company, December 1996.
3. Guo J-S, Lin W-W, Wang C-S. Nonequivalent deflation for the solution of matrix latent value problems. Linear Algebra and its Applications 1995; 231:15-45.
4. Belevitch P. Classical Network Theory. Holden Day: San Fransisco, CA, 1968.
5. Gohberg I, Lancaster P, Rodman L. Matrix Polynomials. Academic Press: New York, 1982.
6. Lancaster P. Lambda-Matrix and Vibrating Systems. Pergamon: Oxford, 1966.
7. Dewilde P, Vandewalle P. On the factorization of a nonsingular rational matrix. IEEE Transactions on Circuits and Systems 1975; 22:637-645.
8. Van Dooren P. Rational and polynomial matrix factorizations via recursive pole-zero cancellation. Linear Algebra and its Applications 1990; 137:663-697.
9. Van Dooren P, Dewilde P. The eigenstructure of an arbitrary polynomial matrix: computational aspects. Linear Algebra and its Applications 1983; 50:545-579.
10. Lin WW. An algorithm for computing the eigenstructure of a regular matrix polynomial. Linear Algebra and its Applications 1990; 91:195-211.
11. Horn RA, Johnson CR. Matrix Analysis. Cambridge University Press: Cambridge, 1985.
12. Miller R, Kroll R, Clemmons R. Dynamic loads analysis system (DYLOFLEX) summary. Technical Report NASA Contractor Report 2846-1. NASA, 1979.
13. Hoblit F. Gust Loads on Aircraft: Concepts and Applications. AIAA Education Series, 1988.
14. Datta BN, Elhay S, Ram YM. Orthogonality and partial pole assignment for the symmetric definite quadratic pencil. Linear Algebra and its Applications 1997; 257:29-48.