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Generalized duals, generalized inverses and their applications

Radio and Electronic Engineer, 1974
Generalized duals and generalized inverses are defined for any general network N consisting of linear/nonlinear, time-invariant/time-varying, passive/active, lumped/distributed elements. A simple method of obtaining these directly for a general planar three terminal network is given. Applications of these concepts in network synthesis are discussed.
M.N.S. Swamy   +2 more
exaly   +2 more sources

Generalized Inverse of Matrices and its Applications.

Journal of the Royal Statistical Society. Series A (General), 1972
(1972). Generalized Inverse of Matrices and its Applications. Journal of the Operational Research Society: Vol. 23, No. 4, pp. 598-598.
Paul S. Dwyer   +2 more
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THE GENERAL INVERSION PAIR AND ITS APPLICATIONS

Rocky Mountain Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A generalization of the Bott–Duffin inverse and its applications

Numerical Linear Algebra with Applications, 2008
AbstractThe ‘constrained inverse’ was introduced by Bott and Duffin in 1953. Since then various generalizations have arisen. In this paper, we propose a generalization of the Bott–Duffin inverse. Applications of the projection methods for solving sparse linear systems, the truncated methods for solving least squares problems, and solvers for ...
Xin-Guo Liu   +2 more
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Centralizers and their applications to generalized inverses

Linear Algebra and its Applications, 2014
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Zhu, Huihui   +2 more
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Application of the generalized inverse to the inversion of static potential data

Geophysics, 1978
Abstract In his paper, Cribb showed that the generalized inverse of gravity or magnetic fields could be found in closed form. At first we thought that the density or susceptibility distribution thus computed might have interpretive value, but after some study we decided this was not so.
R. T. Shvey, P. E. Wanamaker, J. Cribb
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Applications of Generalized Inverses

1992
In 1955, R. Penrose introduced generalized inverses (GIs) [62]. That remarkable paper gives an algebraic theory of GIs, a spectral theory of rectangular matrices, singular value decomposition (SVD) and its use in the computation of GIs. Although known since the 1900s,1GIs became a distinguished area in mathematics’ with [62] and its sequel [63], giving
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