Jordan Canonical Form and Power Method
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- Kouya Tomonori
- Ishikawa Polytechnic College
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- Nagasaka Hideko
- College of Science and Technology, Nihon University
Bibliographic Information
- Other Title
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- Jordan標準型とべき乗法
- Jordan標準形とべき乗法
- Jordan ヒョウジュンケイ ト ベキ ジョウホウ
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Abstract
It is well-known that computing the eigenvalues and eigenvectors of a given matrix A is difficult in case A is not diagonalizable. In this paper, we apply Power methods with Hotelling's, Frazer-Duncan-Collar's and Wielandt's deflations to such matrices and show the numerical properties. Finally, the error analysis is given, particularly for Power method with Hotelling's deflation, when the Jordan canonical form of A has one 2-dimensional Jordan block.
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 7 (2), 107-129, 1997
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390282680744725888
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- NII Article ID
- 110001883647
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 4236484
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed