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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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On a new generalized inverse for Hilbert space operators
Quaestiones Mathematicae, 2020Dijana Mosić, Sanzhang Xu
exaly
On the Continuity of the Generalized Inverse
SIAM Journal on Applied Mathematics, 1969openaire +2 more sources
Dual core generalized inverse of third-order dual tensor based on the T-product
Computational and Applied Mathematics, 2022Hai-Feng Ma
exaly
On integral representation of the generalized inverse AT,S(2)
Applied Mathematics and Computation, 2003Yimin Wei, Dragan Djordjevic
exaly
Full-rank representation of generalized inverse AT,S(2) and its application
Computers and Mathematics With Applications, 2007Xingping Sheng
exaly
On Generalized Inverses of Matrices
SIAM Journal on Applied Mathematics, 1967openaire +2 more sources