Results 91 to 100 of about 23,672 (221)
Moore–Penrose inverse of a Euclidean distance matrix
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Kurata, Hiroshi, Bapat, Ravindra B.
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Spectral permanence for the Moore-Penrose inverse [PDF]
Dragan S. Djordjević +2 more
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Moore-Penrose inverse of linear operators in Hilbert space [PDF]
M. Mwanzia J. +2 more
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Reverse order law for the Moore–Penrose inverse
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Djordjević, Dragan S. +1 more
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This work begins by presenting the essential and enough circumstances for the presence of the Hermitian solution to equations ΨXΦ + Φ∗YΨ∗ = Ω = Ψ∗XΦ∗+ ΦYΨ in the case where the operators are linear and bounded in a Hilbert space and in terms of the Moore-
Salim Dawood Mohsen +1 more
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ON THE CLASS OF $n$-NORMAL OPERATORS AND MOORE-PENROSE INVERSE [PDF]
Anissa Elgues, S. Menkad
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Operator matrix of Moore–Penrose inverse operators on Hilbert C*-modules [PDF]
Mehdi Mohammadzadeh Karizaki +3 more
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Perturbation analysis for the Moore–Penrose metric generalized inverse of closed linear operators in Banach spaces [PDF]
Fapeng Du, Jianlong Chen
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Moore-Penrose inverse and applications to Variational regularization problem. [PDF]
Yousef Estaremi, Snedeh Shamsi
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Minimal properties of Moore-Penrose inverses
Let \(Ax=y\) be consistent and let \(x_ 0=Gy\) be any minimum-norm solution satisfying \((AG)^ T=AG\). Let \(A^ +\) be the Moore-Penrose inverse of \(A\). It is shown that \(\varphi(G) \geq \varphi(A^ +)\) for any \(\varphi\) in a class \(\Phi\) containing the unitarily invariant matrix norms.
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