Results 41 to 50 of about 3,271,968 (288)
The isomorphisms between the upper and lower triangular matrix algebras [PDF]
, 2011 Since matrix equations with triangular matrices are easier to solve, the triangular matrices are very important in mathematics. For instance, the LU decomposition gives an algorithm to decompose any invertible matrix A into two triangular factors: a ...
Fawaz, Zahi
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New Characterizations of the Jeribi Essential Spectrum
International Journal of Analysis and Applications, 2023 In this paper, we give several characterizations of the Jeribi essential spectrum of a bounded linear operator defined on a Banach space by using the notion of almost weakly compact operators.
Belabbaci Chafika
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Some extensions of right N-semilocal rings
Journal of Scientific Research in ScienceIn this paper, we study the necessary and sufficient conditions for the formal triangular matrix ring, the generalized upper triangular matrix ring, the trivial Morita context, and the Morita context to be right N-semilocal, right N-semiperfect, right N ...
Samah H. El-Bishlawy +2 more
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An inverse matrix of an upper triangular matrix can be lower triangular
Discussiones Mathematicae - General Algebra and Applications, 2002 The definitions of two groups of matrices are discussed. One group consists of \(n\times n\) upper triangular matrices and is usually defined over a commutative ring. The second group is the full general linear group defined over any associative ring.
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DOA Estimation Method Based on Improved Deep Convolutional Neural Network
Sensors, 2022 For the multi-target DOA estimation problem of uniform linear arrays, this paper proposes a DOA estimation method based on the deep convolution neural network.
Fangzheng Zhao +3 more
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A note on the spectrum of an upper triangular operator matrix [PDF]
Proceedings of the American Mathematical Society, 2003 Let \(M_C= \left(\begin{smallmatrix} A & C \\ 0 & B\end{smallmatrix} \right)\) be a upper triangular operatorial matrix acting on the direct sum \(E\dot + F\) of Banach spaces, i.e., \(A\in L(E),\) \(B\in L(F)\) and \(C\in L(F,E)\). The author studies spectral properties of the set of operators \(C\) for which \(\sigma(M_c)=\sigma(A)\cup\sigma(B).\)
Barraa, Mohamed, Boumazgour, Mohamed
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Strong Lead‐Free Bioinspired Piezoceramics for Durable Energy Transducers
Advanced Functional Materials, EarlyView.We fabricated brick‐and‐mortar lead‐free piezoceramics with Bi0.5Na0.5TiO3 monocrystal platelets as bricks and amorphous silica as mortar. The alignment of the bricks and the presence of the amorphous silica led to anisotropic residual stresses. These residual stresses increase the samples toughness, strength and durability while the brick alignment ...
Ruxue Yang +12 more
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The Jordan form of a triangular matrix
Special MatricesWe show how to obtain analytic expressions for the Jordan form of an upper triangular matrix, including that of the standardizing matrix. For example, the Jordan form of a triangular banded matrix (a banded matrix is a matrix where nonzero entries are ...
Withers Christopher S. +1 more
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On Amenability-Like Properties of a Class of Matrix Algebras
Journal of Mathematics, 2022 In this study, we show that a matrix algebra ℒℳIpA is a dual Banach algebra, where A is a dual Banach algebra and 1≤p≤2. We show that ℒℳIpℂ is Connes amenable if and only if I is finite, for every nonempty set I.
M. Rostami, S. F. Shariati, A. Sahami
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2D Skeletal Muscle Thin Film Actuators Enhance Efficiency of Biohybrid Robots
Advanced Functional Materials, EarlyView.2D skeletal muscle thin film actuators generate millinewton‐scale forces and millimeter‐scale strokes while remaining functional for over 30 days. Their force density is 20‐fold higher than 3D skeletal muscle actuators, enabling multi‐fin robots with tunable speed and multidirectional steering.
Maheera Bawa +5 more
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