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Geometry, Integrability and Quantization, 2021
In this survey paper we present some aspects of generalized inverses, which are related to inner and outer invertibility, Moore-Penrose inverse, the appropriate reverse order law, and Drazin inverse.
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In this survey paper we present some aspects of generalized inverses, which are related to inner and outer invertibility, Moore-Penrose inverse, the appropriate reverse order law, and Drazin inverse.
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On generalized inverse transversals
Acta Mathematica Sinica, English Series, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Ronghua, Wang, Shoufeng
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Generalized emissivity inverse problem
Physical Review E, 2002Inverse problems have recently drawn considerable attention from the physics community due to of potential widespread applications [K. Chadan and P. C. Sabatier, Inverse Problems in Quantum Scattering Theory, 2nd ed. (Springer Verlag, Berlin, 1989)]. An inverse emissivity problem that determines the emissivity g(nu) from measurements of only the total ...
DengMing, Ming +4 more
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Generalized bilateral inverses
Journal of Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kheirandish, Ehsan, Salemi, Abbas
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Inverse Order Rule for Weighted Generalized Inverse
SIAM Journal on Matrix Analysis and Applications, 1998The paper establishes some necessary and sufficient conditions for the inverse order rule of the weighted generalized inverse.
Sun, Wenyu, Wei, Yimin
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Potential inversion via variational generalized inverse
The Journal of Chemical Physics, 1995The determination of potential energy surfaces (PES) from values calculated ab initio at a set of points or from spectral data (vibration–rotation energy level information and rotation constants) are important and often difficult problems. The former is a ‘‘potential interpolation’’ problem, the latter a ‘‘potential inversion’’ problem.
Dong H. Zhang, John C. Light
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1990
Abstract Consider again the set of linear equations in n unknowns. We saw in Chapter 4 that when A is n × n and has a non-zero determinant, then the unique solution of (10.1) is x = Aȃ1 b, where Aȃ1 is the inverse of A. However, in Chapter 5 we studied the important problem of solving (10.1) when A is singular or rectangular.
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Abstract Consider again the set of linear equations in n unknowns. We saw in Chapter 4 that when A is n × n and has a non-zero determinant, then the unique solution of (10.1) is x = Aȃ1 b, where Aȃ1 is the inverse of A. However, in Chapter 5 we studied the important problem of solving (10.1) when A is singular or rectangular.
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Generalized inverses inC*-Algebras
Rendiconti del Circolo Matematico di Palermo, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The generalized inverse and inverse structure
Acta Crystallographica Section A, 1977When a structure in one space is projected or mapped or otherwise described in another space or 'language', then the transformation is usually irreversible. In the case of linear transformations a generalized inverse matrix exists even if the transformation matrix is rectangular or singular.
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Archive for Rational Mechanics and Analysis, 1976
The existence of the Moore-Penrose inverse is discussed for elements of a *-regular ring \(R\). A technique is developed for computing conditional and reflexive inverses for matrices in \(R_{2\times 2}\), which is then used to calculate the Moore-Penrose inverse for these matrices.
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The existence of the Moore-Penrose inverse is discussed for elements of a *-regular ring \(R\). A technique is developed for computing conditional and reflexive inverses for matrices in \(R_{2\times 2}\), which is then used to calculate the Moore-Penrose inverse for these matrices.
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