LAUSR

Weighted Moore–Penrose Inverses Associated with Weighted Projections on Indefinite Inner Product Spaces

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1 Published in 2020 at "Bulletin of The Iranian Mathematical Society"

DOI: 10.1007/s41980-020-00432-3

Abstract: Let H be a Hilbert $$C^*$$ -module, and let $$H_M$$ be the indefinite inner space induced by a self-adjointable and invertible operator M on H. Given weighted projections P and Q on $$H_M$$ , let… read more here.

Keywords: moore penrose; weighted projections; penrose inverses; inverses associated ... See more keywords

Acute perturbation bounds of weighted Moore–Penrose inverse

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1 Published in 2018 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2017.1294689

Abstract: It is well known that the upper bounds of the weighted Moore–Penrose inverse play a fundamental role in the perturbation analysis for the weighted linear least squares problem. In this note, we provide a sharp… read more here.

Keywords: moore penrose; acute perturbation; bounds weighted; weighted moore ... See more keywords

Weighted generalized invertibility in two semigroups of a ring with involution

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0 Published in 2024 at "Filomat"

DOI: 10.2298/fil2415261l

Abstract: Let R be a ring with an involution and p ? R be a weighted projection. We characterize the relation between the weighted Moore-Penrose invertibility (resp., weighted pseudo core invertibility) of the corresponding elements of… read more here.

Keywords: involution weighted; two semigroups; weighted moore; ring involution ... See more keywords