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Matrix Shanks Transformations [PDF]

The Electronic Journal of Linear Algebra, 2019
Shanks' transformation is a well know sequence transformation for accelerating the convergence of scalar sequences. It has been extended to the case of sequences of vectors and sequences of square matrices satisfying a linear difference equation with ...
Claude, Brezinski, Redivo Zaglia, Michela   +1 more
core   +3 more sources

Matrix Transformations between Certain Sequence Spaces over the Non-Newtonian Complex Field [PDF]

The Scientific World Journal, 2014
In some cases, the most general linear operator between two sequence spaces is given by an infinite matrix. So the theory of matrix transformations has always been of great interest in the study of sequence spaces. In the present paper, we introduce the
Uğur Kadak, Hakan Efe
doaj   +2 more sources

New Results on the SSIE with an Operator of the form F_Δ ⊂ Ɛ + $F_x^{\prime }$ Involving the Spaces of Strongly Summable and Convergent Sequences Using the Cesàro Method

Axioms, 2021
Given any sequence a=(an)n≥1 of positive real numbers and any set E of complex sequences, we can use Ea to represent the set of all sequences y=(yn)n≥1 such that y/a=(yn/an)n≥1∈E.
Bruno de Malafosse
doaj   +1 more source

Calculations on Matrix Transformations Involving an Infinite Tridiagonal Matrix

Axioms, 2021
Given any sequence z=znn≥1 of positive real numbers and any set E of complex sequences, we write Ez for the set of all sequences y=ynn≥1 such that y/z=yn/znn≥1∈E; in particular, sz0 denotes the set of all sequences y such that y/z tends to zero. Here, we
Ali Fares, Ali Ayad, Bruno de Malafosse
doaj   +1 more source

Some Abelian, Tauberian and Core Theorems Related to the $(V,\lambda)$-Summability

Universal Journal of Mathematics and Applications, 2021
For a non-decreasing sequence of positive integers tending to infinity $\lambda=(\lambda_m)$ such that $\lambda_{m+1}-\lambda_m\leq 1$, $\lambda_1=1$; $(V,\lambda)$-summability has been defined as the limit of the generalized de la Val\'{e}e-Pousin of a
Merve Temizer Ersoy
doaj   +1 more source

Characterizations of Matrix and Compact Operators on BK Spaces

Universal Journal of Mathematics and Applications, 2023
In the present paper, by estimating operator norms, we give some characterizations of infinite matrix classes $\left( \left\vert E_{\mu }^{r}\right\vert _{q},\Lambda\right) $ and $\left( \left\vert E_{\mu }^{r}\right\vert _{\infty },\Lambda\right ...
Fadime Gökçe
doaj   +1 more source

A novel approach for fabricating a CNT/AlSi composite with the self-aligned nacre-like architecture by cold spraying

Nano Materials Science, 2019
A fully dense carbon nanotubes (CNTs) reinforced AlSi matrix composite with the multiscale nacre-like architecture was designed and successfully realized by flake powder metallurgy followed by cold spraying (CS).
Xinliang Xie, Chaoyue Chen, Gang Ji, Run Xu, Zhanqiu Tan, Yingchun Xie, Zhiqiang Li, Hanlin Liao   +7 more
doaj   +1 more source

Microstructure of Multi-Pass Friction-Stir-Processed Al-Zn-Mg-Cu Alloys Reinforced by Nano-Sized TiB2 Particles and the Effect of T6 Heat Treatment

Metals, 2017
In this work, a fine-grained structure with a uniform distribution of TiB2 particles and precipitates was achieved in TiB2 particle-reinforced (PR) Al-Zn-Mg-Cu alloys by friction stir processing (FSP). The effects of multi-pass FSP on the microstructure,
Xiaofei Ju, Fengguo Zhang, Zhe Chen, Gang Ji, Mingliang Wang, Yi Wu, Shengyi Zhong, Haowei Wang   +7 more
doaj   +1 more source

On Non-Abelian Structure From Matrix Coordinates [PDF]

, 2001
We consider the matrix quantum mechanics of N D0-branes in the background of the 1-form RR field. It is observed that the transformations of matrix coordinates of D0-branes induce on the Abelian RR field symmetry transformations that are like those of ...
Amir H. Fatollahi, Carmeli, Connes, Dorn, Douglas, Douglas, Douglas, Douglas, Fatollahi, Fatollahi, Fatollahi, Fatollahi, Fatollahi, Fatollahi, Garousi, Garousi, Hull, Kabat, Myers, Polchinski, Seiberg, Sheikh-Jabbari, Taylor, Taylor, Taylor, Taylor, Tseytlin, Van Raamsdonk, Witten, Wong   +29 more
core   +4 more sources

Novel Composite Powders with Uniform TiB2 Nano-Particle Distribution for 3D Printing

Applied Sciences, 2017
It is reported that the ductility and strength of a metal matrix composite could be concurrently improved if the reinforcing particles were of the size of nanometers and distributed uniformly.
Mengxing Chen, Xiaopeng Li, Gang Ji, Yi Wu, Zhe Chen, Wouter Baekelant, Kim Vanmeensel, Haowei Wang, Jean-Pierre Kruth   +8 more
doaj   +1 more source