IEICE TRANSACTIONS on Fundamentals
Dynamic Equations of Generalized Eigenvalue Problems
Summary :
In this letter we present a new way for computing generalized eigenvalue problems in engineering applications. To transform a generalized eigenvalue problem into an associated problem for solving nonlinear dynamic equations by using optimization techniques, we can determine all eigenvalues and their eigenvectors for general complex matrices. Numerical examples are given to verify the formula of dynamic equations.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.8 pp.1974-1978
- Publication Date
- 2002/08/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Numerical Analysis and Optimization
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Yao-Lin JIANG, Richard M. M. CHEN, "Dynamic Equations of Generalized Eigenvalue Problems" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 8, pp. 1974-1978, August 2002, doi: .
Abstract: In this letter we present a new way for computing generalized eigenvalue problems in engineering applications. To transform a generalized eigenvalue problem into an associated problem for solving nonlinear dynamic equations by using optimization techniques, we can determine all eigenvalues and their eigenvectors for general complex matrices. Numerical examples are given to verify the formula of dynamic equations.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_8_1974/_p
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@ARTICLE{e85-a_8_1974,
author={Yao-Lin JIANG, Richard M. M. CHEN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Dynamic Equations of Generalized Eigenvalue Problems},
year={2002},
volume={E85-A},
number={8},
pages={1974-1978},
abstract={In this letter we present a new way for computing generalized eigenvalue problems in engineering applications. To transform a generalized eigenvalue problem into an associated problem for solving nonlinear dynamic equations by using optimization techniques, we can determine all eigenvalues and their eigenvectors for general complex matrices. Numerical examples are given to verify the formula of dynamic equations.},
keywords={},
doi={},
ISSN={},
month={August},}
Copy
TY - JOUR
TI - Dynamic Equations of Generalized Eigenvalue Problems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1974
EP - 1978
AU - Yao-Lin JIANG
AU - Richard M. M. CHEN
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2002
AB - In this letter we present a new way for computing generalized eigenvalue problems in engineering applications. To transform a generalized eigenvalue problem into an associated problem for solving nonlinear dynamic equations by using optimization techniques, we can determine all eigenvalues and their eigenvectors for general complex matrices. Numerical examples are given to verify the formula of dynamic equations.
ER -
English
