논문KCI 등재
Explicit Formulas of the Generalized Inverse and Its Applications
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Abstract
In this paper, we present the explicit formula of the generalized inverse A(2) T;S, and we apply this result to solve restricted linear equation Ax + y = b; x 2 T; y 2 S and Ax + By = b; x 2 T; y 2 S.
참고문헌 (9)
- "Generalized inverse:Theory and applications" (2003), Springer Verlag, New York
- "On the algebra of network", 74, pp.99~109 (1953)
- "Perturbation analysis of the general-ized Bott-Dun inverse of L-zero matrices", 51, pp.11~20 (2003)
- GuoLiang Chen, "Perturbation theory for the general-ized Bott-Dun inverse and its applications", 129, pp.145~155 (2002)
- Y. Chen, "The generalized Bott-Dun inverse and its applications", 134, pp.71~91 (1990)
- "The expression of the generalized Bott-Dun in-verse and its perturbation theory", 132, pp.437~444 (2002)
- "A characterization and determinantal formula for the generalizedinverse A(2)T", 125, pp.261~269 (2002)
- "A oblique projection method for solving restrictedlinear equations", 1, pp.1~4 (1996)
- "Explicit formulas of the common generalized inverses"
관련 논문AI추천
How to Characterize Equalities for the Generalized Inverse A^{(2)}_{T,S} of a MatrixYonghui Liu경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제4호On the solutions of some equations with index matricesNora Angelova, Stela Todorova, Veselina Bureva장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2023 · 제26권 제3호Representations of the Moore-Penrose inverse of 2×2 block operator valued matricesChun Yuan Deng, Hong Ke Du대한수학회 · 대한수학회지2009 · 제46권 제6호Ranks of submatrices in a general solution to a quaternion system with applicationsHua-Sheng Zhang, Qing-Wen Wang대한수학회 · 대한수학회보2011 · 제48권 제5호Generalized Inverses and Solutions to Equations in Rings with InvolutionJunchao Wei, Yue Sui경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2024 · 제64권 제1호Characterizations and the Moore-Penrose inverse of hypergeneralized k-projectorsMarina Tosic대한수학회 · 대한수학회보2014 · 제51권 제2호
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