Results 91 to 100 of about 768,175 (328)
Computing the numerical radius
Linear Algebra and its Applications, 1996 The paper deals with the numerical calculation of the numerical radius of a complex matrix. The derived methods consist mainly of matrix-vector multiplications, being based on the power method for calculating the largest eigenvalue (in modulus) of a Hermitian matrix. Computational tests are given to show the efficiency of the proposed algorithm.
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Vector-valued numerical radius and σ-porosity
Journal of Mathematical Analysis and Applications, 2023 It is well known that under certain conditions on a Banach space $X$, the set of bounded linear operators attaining their numerical radius is a dense subset. We prove in this paper that if $X$ is assumed to be uniformly convex and uniformly smooth then the set of bounded linear operators attaining their numerical radius is not only a dense subset but ...
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
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Maps preserving spectral radius, numerical radius, spectral norm
The Electronic Journal of Linear Algebra, 2007 It was shown by \textit{S. Clark}, \textit{C.K. Li}, and \textit{A. Rastogi} [Bull. Aust. Math. Soc. 77, No.~1, 49--72 (2008; Zbl 1147.15001)] that under some restrictions every (possibly nonlinear) map \(f:M_{m\times n}\to M_{m\times n}\) on rectangular matrices, which is multiplicative with respect to Schur (= entrywise) product, is of the form \(f ...
Li, Chi-Kwong +2 more
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Advanced Engineering Materials, EarlyView.The effect of temperature controllers that are commonly used in freeze‐casting is investigated in this work. Temperature controllers are observed to generate a voltage in the slurry. Microstructural alignment and ultimate compressive strength data show this voltage to interfere with the ability to align the microstructure using magnetic fields ...
Maddie A. Schmitz, Steven E. Naleway
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Upper Bounds for the Numerical Radius of Off-Diagonal 2 × 2 Operator Matrices
MathematicsWe establish multiple novel upper estimates for the numerical radius associated with off-diagonal operator matrices defined on a complex Hilbert space H.
Najla Altwaijry +1 more
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Advanced Engineering Materials, EarlyView.This study investigates laser shock peening for enhancing fatigue performance of riveted aerospace aluminum joints. A comparative approach with cold expansion combines fatigue testing and synchrotron X‐ray methods. Integrating mechanical testing with residual stress and strain characterization provides insights into how different treatments affect the ...
Ogün Baris Tapar +6 more
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On the numerical radius parallelism and the numerical radius Birkhoff orthogonality
In this paper, we generalize the notions of numerical radius parallelism and numerical radius Birkhoff orthogonality, originally formulated for operators on Hilbert spaces, to operators on normed spaces. We then proceed to demonstrate their fundamental properties.
Bi, Jiaye, Xie, Huayou, Li, Yongjin
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Proceedings of the American Mathematical Society, 2014 Let T 1 , … , T n T_1,\dots ,T_n be bounded linear operators on a complex Hilbert space H H . We study the question whether it is possible to find a unit vector x ∈ H x\in H such that
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Adaptable Tile‐Based Pneumatic Origami through Structurally Coupled Localized Actuation
Advanced Engineering Materials, EarlyView.This article presents tile‐based pneumatic origami structures with rigid tiles and flexible fabric creases, achieving adaptable properties including morphing shape, selective multistability, and tunable stiffness. Independently pressurized folding bladders at each crease enable structurally coupled localized actuation of origami structures.
Tiantian Li, Jonathan Luntz, Diann Brei
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