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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

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

On some new vector valued sequence spaces $ E(X, \lambda, p) $

AIMS Mathematics, 2023
To define a new sequence space and determine the Köthe-Toeplitz duals of this sequence space, characterizing the matrix transformation classes between the defined sequence spaces and classical sequence spaces has been an important area of work for ...
Osman Duyar
doaj   +1 more source

New Results on the Sequence Spaces Inclusion Equations of the Form $F\subset \mathcal{E}+F_x^{\prime }$ Where F, F′ ∈ {w₀, w, w_∞}

Axioms, 2023
We determine the multipliers M(X,Y) where X, Y∈{w0,w,w∞}, and we apply these results to the solvability of both the (SSIE) of the form F⊂E+wx, where F∈{w0,w,w∞}, and the (SSIE) w⊂E+Wx0 and w⊂E+Wx.
Bruno de Malafosse, Eberhard Malkowsky, Vladimir Rakočević   +2 more
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