Results 71 to 80 of about 43,499 (308)
有关矩阵广义逆的惯性指数及其应用(Inertia formulae related to the generalized inverse with applications)
Zhejiang Daxue xuebao. Lixue ban, 2019 In this paper, firstly, we establish the inertia formulae for some matrix expressions related to the generalized inverse . Then, as applications, based on the derived inertia formulae, we study the definiteness of some matrices.
WUZhongcheng(吴中成) +1 more
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Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
Advanced Intelligent Discovery, EarlyView.This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
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Generalizations of the Kantorovich and Wielandt Inequalities with Applications to Statistics
MathematicsBy utilizing the properties of positive definite matrices, mathematical expectations, and positive linear functionals in matrix space, the Kantorovich inequality and Wielandt inequality for positive definite matrices and random variables are obtained ...
Yunzhi Zhang +3 more
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.Quadrotor unmanned aerial vehicle control is critical to maintain flight safety and efficiency, especially when facing external disturbances and model uncertainties. This article presents a robust reinforcement learning control scheme to deal with these challenges.
Yu Cai +3 more
wiley +1 more source
Advanced Intelligent Systems, EarlyView.During lengthy minimally invasive surgeries, fatigue can cause surgeon tremor and poor endoscopic coordination. This study proposes a robot‐assisted endoscopic adjustment system. It employs a lightweight instrument detection model and a hierarchical multiconstraint controller for visual servoing.
Zijie Yang +5 more
wiley +1 more source
Positive-Definite Matrix Processes of Finite Variation
, 2006 Processes of finite variation, which take values in the positive semidefinite matrices and are representable as the sum of an integral with respect to time and one with respect to an extended Poisson random measure, are considered. For such processes we derive conditions for the square root (and the r-th power with 0 < r < 1) to be of finite ...
Barndorff-Nielsen, Ole Eiler +1 more
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On the Solution of the Rational Matrix Equation X=Q+LX−1LT
EURASIP Journal on Advances in Signal Processing, 2007 We study numerical methods for finding the maximal symmetric positive definite solution of the nonlinear matrix equation X=Q+LX−1LT, where Q is symmetric positive definite and L is nonsingular.
Heike Faßbender, Peter Benner
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Advanced Intelligent Systems, EarlyView.This study provides an introduction to Bayesian optimisation targeted for experimentalists. It explains core concepts, surrogate modelling, and acquisition strategies, and addresses common real‐world challenges such as noise, constraints, mixed variables, scalability, and automation.
Chuan He +2 more
wiley +1 more source
On the Iterative Method for the System of Nonlinear Matrix Equations
Abstract and Applied Analysis, 2013 The positive definite solutions for the system of nonlinear matrix equations are considered, where are two positive integers and A, B are nonsingular complex matrices.
Asmaa M. Al-Dubiban
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On a Nontrivial Situation Concerning the Pseudounitary Eigenvalues of a Positive Definite Matrix [PDF]
, 2023 Х. Д. Икрамов
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