In Ref.[5], the author defines "approximate eigenvalues" and "approximate eigenvectors," which are, in short, Taylor series expansions of eigenvalues and eigenvectors of a polynomial matrix. In this paper, an efficient algorithm to compute the approximate eigenvalues and eigenvectors is presented. The algorithm performs the computations with an arbitrary degree of convergence.
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Takuya KITAMOTO, "On Computation of Approximate Eigenvalues and Eigenvectors" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 3, pp. 664-675, March 2002, doi: .
Abstract: In Ref.[5], the author defines "approximate eigenvalues" and "approximate eigenvectors," which are, in short, Taylor series expansions of eigenvalues and eigenvectors of a polynomial matrix. In this paper, an efficient algorithm to compute the approximate eigenvalues and eigenvectors is presented. The algorithm performs the computations with an arbitrary degree of convergence.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_3_664/_p
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@ARTICLE{e85-a_3_664,
author={Takuya KITAMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On Computation of Approximate Eigenvalues and Eigenvectors},
year={2002},
volume={E85-A},
number={3},
pages={664-675},
abstract={In Ref.[5], the author defines "approximate eigenvalues" and "approximate eigenvectors," which are, in short, Taylor series expansions of eigenvalues and eigenvectors of a polynomial matrix. In this paper, an efficient algorithm to compute the approximate eigenvalues and eigenvectors is presented. The algorithm performs the computations with an arbitrary degree of convergence.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - On Computation of Approximate Eigenvalues and Eigenvectors
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 664
EP - 675
AU - Takuya KITAMOTO
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2002
AB - In Ref.[5], the author defines "approximate eigenvalues" and "approximate eigenvectors," which are, in short, Taylor series expansions of eigenvalues and eigenvectors of a polynomial matrix. In this paper, an efficient algorithm to compute the approximate eigenvalues and eigenvectors is presented. The algorithm performs the computations with an arbitrary degree of convergence.
ER -