Results 71 to 80 of about 554,064 (360)
A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley +1 more source
Existence and Uniqueness of the Positive Definite Solution for the Matrix Equation X=Q+A∗(X^−C)−1A
We consider the nonlinear matrix equation X=Q+A∗(X^−C)−1A, where Q is positive definite, C is positive semidefinite, and X^ is the block diagonal matrix defined by X^=diag(X,X,…,X).
Dongjie Gao
doaj +1 more source
On directional derivatives of trace functionals of the form $A\mapsto\Tr(Pf(A))$
Given a function $f:(0,\infty)\rightarrow\RR$ and a positive semidefinite $n\times n$ matrix $P$, one may define a trace functional on positive definite $n\times n$ matrices as $A\mapsto \Tr(Pf(A))$.
Girard, Mark W.
core +1 more source
Formation Control of Multi‐Agent System with Local Interaction and Artificial Potential Field
This article proposes a local interaction‐based formation control method for Multi‐Agent system, integrating consensus and leader‐follower strategies with a stress response mechanism—artificial potential field to reduce communication overhead and enable obstacle avoidance. Experimental results on triangular, square, and hexagonal formations confirm its
Luoyin Zhao +3 more
wiley +1 more source
Geometrical inverse preconditioning for symmetric positive definite matrices
We focus on inverse preconditioners based on minimizing $F(X) = 1-\cos(XA,I)$, where $XA$ is the preconditioned matrix and $A$ is symmetric and positive definite.
Chehab, Jean-Paul, Raydan, Marcos
core +3 more sources
Macrophages infiltrate the spinal cord post‐injury, decreasing over time. Microglia phagocytose myelin debris, increasing lipid accumulation. Macrophage deletion improves outcomes, while microglial deletion worsens them. The LD+ microglia subtype shows abnormal Pparg signaling.
Mingran Luo +17 more
wiley +1 more source
A relational-theoretic approach to get solution of nonlinear matrix equations
In this study, we consider a nonlinear matrix equation of the form X = Q + ∑ i = 1 m A i ∗ G ( X ) A i $\mathcal{X}= \mathcal{Q} + \sum_{i=1}^{m} \mathcal{A}_{i}^{*} \mathcal{G} (\mathcal{X})\mathcal{A}_{i}$ , where Q $\mathcal{Q}$ is a Hermitian ...
Hemant Kumar Nashine +2 more
doaj +1 more source
Remarks on the $\alpha$--permanent
We recall Vere-Jones's definition of the $\alpha$--permanent and describe the connection between the (1/2)--permanent and the hafnian. We establish expansion formulae for the $\alpha$--permanent in terms of partitions of the index set, and we use these ...
Frenkel, Péter E.
core +2 more sources
The study identifies elevated homocysteine (Hcy) levels in idiopathic pulmonary fibrosis patients' samples, with alveolar type 2 cells as the primary site of Hcy metabolism. Methionine synthase reductase downregulation in these cells exacerbates fibrosis, while folate administration reduces Hcy levels and alleviates fibrosis.
Jiefeng Huang +14 more
wiley +1 more source
Positive definite matrix and its proof method
Abstract Advanced algebra is a required course of undergraduate mathematics, which plays a fundamental role in completing the study of other professional courses for students. Matrix theory is an important branch of mathematics, it is not only a basic subject, but also themost practical value.
openaire +2 more sources

