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Convergence of the Iterated Aluthge Transform Sequence for Diagonalizable Matrices II: λ-Aluthge Transform
(Birkhauser Verlag Ag, 2008-12)
Let λ∈ (0,1) and let T be a r x r complex matrix with polar decomposition T=U|T|. Then, the λ- Aluthge transform is defined by Δλ(T)= |T|λU |T |1-λ. Let Δnλ(T) denote the n-times iterated Aluthge transform of T, n ∈ N. We ...
Adjustment of model parameters to estimate distribution transformers remaining lifespan
(Scientific Research Publishing Inc., 2018-09)
Currently, the electrical system in Argentina is working at its maximum capacity, decreasing the margin between the installed power and demanded consumption, and drastically reducing the service life of transformer substations ...
Riesz transforms related to Schrödinger operators acting on BMO type spaces
(Academic Press Inc Elsevier Science, 2009-09)
In this work we obtain boundedness on suitable weighted BMO type spaces of Riesz transforms, and their adjoints, associated to the Schrödinger operator - Δ + V, where V satisfies a reverse Hölder inequality. Our results ...
Comment on “Diferential transform method for the solutions to some initial value problems in chemistry”
(Springer, 2021-11)
We argue that the differential transform method is merely the well known Taylor series approach in disguise. We show that the examples chosen by Qin and Lou have no physical utility, contrary to what the authors appear to claim.
Approximation and the n-Berezin transform of operators on the Bergman space
(De Gruyter, 2005-07)
To any bounded operator S on the Bergman space La2 we associate a sequence of linear transforms Bn(S ) ∈ L∞(D), where n ≧ 0, and prove that the Toeplitz operators article image tend to S for some especial classes of operators ...
Effect of the precipitates on the thermodynamics of the martensitic transformations in Ti-rich Ni-Ti-Co thin films
(Elsevier Science, 2020-03)
The wide-spread multiple transformation in Ti-rich Ni-Ti shape memory alloys produced by Ti2Ni nano-precipitates was investigated. For this purpose, a series of amorphous Ti-Ni-Co thin films with the same composition were ...
Transient transformation of sunflower leaf discs via an Agrobacterium-mediated method: applications for gene expression and silencing studies
(Nature Publishing Group, 2009-10)
The sunflower belongs to the Compositae family and is an economically important crop because of the quality of its oil. Unfortunately, molecular analyses are limited due to the lack of genomic information, mutant libraries ...
λ-Aluthge transforms and schatten ideals
(Elsevier Science Inc, 2005-08)
Let T∈ L(H), and let T=U|T|= |T*| U be the polar decomposition of T . Then, for every λ∈[0,1], the λ-Aluthge transform is defined by D λ (T )= |T| l U|T| 1-λ . We show that several properties which are known for the usual ...
Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.
(Elsevier Science, 2021-08)
We show that the differential transform is the well known Taylor series (contrary to what the authors claim) and that the differential transform method (DTM) is the well known Frobenius method, commonly used to obtain exact ...
Metastable eutectoid transformation in spheroidal graphite cast iron: Modeling and validation
(Multidisciplinary Digital Publishing Institute, 2018-07)
This paper presents a new microstructural model of the metastable eutectoid transformation in spheroidal graphite cast irons. The model takes into account the nucleation and growth of pearlite nodules. The nucleation is ...