Generalized Inverses with Factorization
Received:November 07, 1988  
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Jiang Shengyuan Jiangxi Normal University
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      In this paper we defined the generalized inverse with factorization of morphism in a category with factorization, gave out its explict formulas, discussed its uniqueness. Applying to the category Cm×n,we use the full-rank factoriza tion of matrix A to characterize the {1,2}-inverse of A with prescribed range and null space and get a necessary and sufficient condition for a {1,2}-inverse with prescribed range and null space can be expressed as a generalized inverse with factorization.
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