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논문 기본 정보
- 자료유형
- 학술저널
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- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제27권 제1호
- 발행연도
- 2009.1
- 수록면
- 267 - 273 (7page)
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A representation for the Drazin inverse of an arbitrary square matrix in terms of the eigenprojection was established by Rothblum [SIAM J. Appl. Math., 31(1976) :646-648]. In this paper perturbation results based on the representation for the Darzin inverse $A^D\;=\;(A-X)^{-1}(I-X)$ are developed. Norm estimates of $\parallel(A+E)^D-A^D\parallel_2/\parallel A^D\parallel_2$ and $\parallel(A+E)^#-A^D\parallel_2/\parallel A^D\parallel_2$ are derived when IIEI12 is small.
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참고문헌 (16)
참고문헌 신청
U. G. Rothblum / 1976 / A representation of the Drazin inverse and characterizations of the index / SIAM J. Appl. Math 31:646~648
M. P. Darzin / 1958 / Pesudoinverses in associative rings and semigroup / Amer. Math. Monthly 65:506~514
S. L. Campbell / 1976 / Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients / SIAM J. Appl.Math 31:411~425
R. E. Hartwig / 1975 / Applications of the Drazin inverse to the hill cryptographic system, Part III / Cryptologia 5:443~464
C. D. Meyer / 1975 / The role of the group generalized inverse in the theory of finite Markov chains / SIAM Rev 17:443~464
M. P. Darzin / 1958 / Pesudoinverses in associative rings and semigroup / Amer. Math. Monthly 65:506~514
S. L. Campbell / 1976 / Applications of the Drazin inverse to linear systems of differential equations with singular constant coefficients / SIAM J. Appl.Math 31:411~425
R. E. Hartwig / 1975 / Applications of the Drazin inverse to the hill cryptographic system, Part III / Cryptologia 5:443~464
C. D. Meyer / 1975 / The role of the group generalized inverse in the theory of finite Markov chains / SIAM Rev 17:443~464
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