Results 81 to 90 of about 28,414 (283)
ABSTRACT Magnetic resonance imaging (MRI)‐guided focused ultrasound (MRg‐FUS) is an effective and noninvasive procedure for treating diseases such as neurological disorders. Phase adjustment on ultrasound transducers can only achieve a limited focal‐spot steering range.
Jing Dai+7 more
wiley +1 more source
In this paper, we study the reverse order law for the Moore–Penrose inverse of the product of three bounded linear operators in Hilbert spaces. We first present some equivalent conditions for the existence of the reverse order law ABC†=C†B†A†.
Yang Qi, Liu Xiaoji, Yu Yaoming
doaj +1 more source
The Moore of the Moore-Penrose inverse
A summary and restatement, in plain English and modern notation, of the results of E.H. Moore on the generalized inverse that bears his name.
openaire +3 more sources
Summary Misspecification of the error covariance in linear models usually leads to incorrect inference and conclusions. We consider two linear models, A$$ \mathcal{A} $$ and B$$ \mathcal{B} $$, with the same design matrix but different error covariance matrices. The conditions under which every representation of the best linear unbiased estimator (BLUE)
Stephen J. Haslett+3 more
wiley +1 more source
Spaceborne and spaceborn: Physiological aspects of pregnancy and birth during interplanetary flight
Abstract Crewed interplanetary return missions that are on the planning horizon will take years, more than enough time for initiation and completion of a pregnancy. Pregnancy is viewed as a sequence of processes – fertilization, blastocyst formation, implantation, gastrulation, placentation, organogenesis, gross morphogenesis, birth and neonatal ...
Arun V. Holden
wiley +1 more source
Multistable Physical Neural Networks
This article presents the integration of mechanical bistability into physical neural networks (PNNs), enabling memory retention and bridging computation with physical action. By mapping the equilibrium states of bistable, liquid‐filled chambers, it explores stability and introduces global and local training algorithms.
Ben‐Haim Eran+3 more
wiley +1 more source
The Moore-Penrose inverse of a sum of matrices [PDF]
AbstractSuppose U and V are to m × n matrices over the complex field. We obtain a representation for the Moore–Penrose inverse of the sum U + V. A well-known result of Cline is then derived as a special case of a corollary of this representation.
Ching-Hsiang Hung, Thomas L. Markham
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A denotational semantics of quantum Turing machines having a quantum control is defined in the dagger compact closed category of finite dimensional Hilbert spaces.
Miklós Bartha
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Stabilized Krylov Subspace Recurrences via Randomized Sketching
ABSTRACT Recurrences building orthonormal bases for polynomial Krylov spaces have been classically used for approximation purposes in various numerical linear algebra contexts. Variants aiming to limit memory and computational costs by using truncated recurrences often have convergence constraints.
Valeria Simoncini, YiHong Wang
wiley +1 more source
Approximating the inverse and the Moore‐Penrose inverse of complex matrices
A parametric family of fourth‐order schemes for computing the inverse and the Moore‐Penrose inverse of a complex matrix is designed. A particular value of the parameter allows us to obtain a fifth‐order method. Convergence analysis of the different methods is studied. Every iteration of the proposed schemes involves four matrix multiplications.
Juan R. Torregrosa+3 more
openaire +3 more sources