지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2011.11
- 수록면
- 177 - 180 (4page)
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We consider the perturbation analysis for the Quadratix matrix equation which forms as:
AX² + BX + C = 0
where the coefficients A;B and C are given n x n complex matrices and X ∈ C<SUP>nxn</SUP> is a unknown matrix. Expressions and upper bounds for normwise, mixed and componentwise condition numbers are presented. The theories for finding the normwise condition number are suggested by Davis [2] and Higham and Kim [3].
And, we are devoted the concept of the componentwise perturbation analysis. This analysis is useful when the perturbations in the components of input and output data differ significantly, since in this case the norms of data are relevant measures only for largest of perturbations. We show two different analysis by numerical experiments.
AX² + BX + C = 0
where the coefficients A;B and C are given n x n complex matrices and X ∈ C<SUP>nxn</SUP> is a unknown matrix. Expressions and upper bounds for normwise, mixed and componentwise condition numbers are presented. The theories for finding the normwise condition number are suggested by Davis [2] and Higham and Kim [3].
And, we are devoted the concept of the componentwise perturbation analysis. This analysis is useful when the perturbations in the components of input and output data differ significantly, since in this case the norms of data are relevant measures only for largest of perturbations. We show two different analysis by numerical experiments.
목차
ABSTRACT
PERTURBATION ANALYSIS
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UCI(KEPA) : I410-ECN-0101-2014-410-000453684