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Abstract We present the conditions for a block matrix of a ring to have the image-kernel ( p , q ) {(p,q)} -inverse in the generalized Banachiewicz–Schur form. We give… Click to show full abstract
Abstract We present the conditions for a block matrix of a ring to have the image-kernel ( p , q ) {(p,q)} -inverse in the generalized Banachiewicz–Schur form. We give representations for the image-kernel inverses of the sum and the product of two block matrices. Some characterizations of the image-kernel ( p , q ) {(p,q)} -inverse in a ring with involution are investigated too.
Keywords:
image;
image kernel;
representations image;
kernel inverses;
block matrices
Journal Title: Georgian Mathematical Journal
Year Published: 2018
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Journal Title: Georgian Mathematical Journal
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!