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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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Generalized Inverse of a Finite Graph
Fundamenta Informaticae, 1981We define the optimal generalized inverse of the directed graph, give its construction and prove that the graph has an inverse graph iff its optimal generalized inverse is its inverse. The construction of the optimal generalized inverse may be used in the preparation of the PERT networks by the computer.
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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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From projectors to 1MP and MP1 generalized inverses and their induced partial orders
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021Nestor Thome
exaly
Computation of generalized inverses of tensors via t‐product
Numerical Linear Algebra With Applications, 2022Jajati Keshari Sahoo +2 more
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Generalized inverses of elements and their polarities in rings
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021Huihui Zhu, Tianli Li, Zhu Huihui
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Maximal classes of matrices determining generalized inverses
Applied Mathematics and Computation, 2018Nestor Thome
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Outer Generalized Inverses in Rings
Communications in Algebra, 2005Yimin Wei, Dragan Djordjevic
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On Generalized Inverses of Matrices
SIAM Journal on Applied Mathematics, 1967openaire +2 more sources