Results 61 to 70 of about 43,499 (308)

Symmetric multisplitting of a symmetric positive definite matrix

Linear Algebra and its Applications, 1998
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Cao, Zhi-Hao, Liu, Zhong-Yun
openaire   +1 more source

Beyond the Non‐Hermitian Skin Effect: Scaling‐Controlled Topology from Exceptional‐Bound Bands

Advanced Science, EarlyView.
ABSTRACT We establish a novel mechanism for topological transitions in non‐Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional‐bound (EB) band engineering, its mechanism hinges on the unique critical scaling behavior near an exceptional point, totally unrelated to the well‐known non‐Hermitian skin ...
Mengjie Yang, Ching Hua Lee
wiley   +1 more source

The Role of Chemistry Across Disciplines From Humanities to Life Sciences in Understanding Complexity and Emergence

Angewandte Chemie, EarlyView.
This study explores the origins of life by linking prebiotic chemistry, the emergence of information‐carrying molecules such as RNA and proteins, and philosophical questions about consciousness. The study emphasizes the role of molecular evolution in the Central Dogma and provides insights into the chemical origins of biology and the basis of life's ...
Harald Schwalbe, Josef Wachtveitl, Alexander Heckel, Florian Buhr, Sabrina Toews, Thomas M. Schimmer   +5 more
wiley   +2 more sources

All‐in‐One Underwater Quality Evaluation Metamaterial With Mechanical Robustness, Sound Attenuation, and Diffuse Reflection

Advanced Science, EarlyView.
In this work, a bioinspired all‐in‐one underwater quality evaluation metamaterial, combining sound attenuation, diffuse reflection, and mechanical robustness, is proposed based on jumping spider locomotion and human skeletal biomechanics. Meanwhile, a CNN‑driven quality evaluation framework is established for theoretically dimension‐reduced ...
Hongze Li, Zhenyu Li, Jinshui Yang, Jianhao Wu, Yidan Chen, Linzhi Wu, Hong Hu, Penglin Gao, Yegao Qu   +8 more
wiley   +1 more source

Novel Steganographic Method Based on Hermitian Positive Definite Matrix and Weighted Moore–Penrose Inverses

Applied Sciences
In this paper, we describe the concept of a new data-hiding technique for steganography in RGB images where a secret message is embedded in the blue layer of specific bytes.
Selver Pepić, Muzafer Saračević, Aybeyan Selim, Darjan Karabašević, Marija Mojsilović, Amor Hasić, Pavle Brzaković   +6 more
doaj   +1 more source

On The Positive Definite Solutions Of Nonlinear Matrix Equation

, 2013
In this paper, the nonlinear matrix equation is investigated. Based on the fixed-point theory, the boundary and the existence of the solution with the case r>-δi are discussed. An algorithm that avoids matrix inversion with the case -1<-δi<0 is proposed.
Baoguang, Tian, Chunyan, Liang, And Chen Nan   +2 more
openaire   +1 more source

Fundamental Challenges, Physical Implementations, and Integration Strategies for Ising Machines in Large‐Scale Optimization Tasks

Advanced Electronic Materials, EarlyView.
Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
wiley   +1 more source

Iterative Algorithm for Solving a System of Nonlinear Matrix Equations

Journal of Applied Mathematics, 2012
We discuss the positive definite solutions for the system of nonlinear matrix equations and , where , are two positive integers. Some properties of solutions are studied, and the necessary and sufficient conditions for the existence of positive ...
Asmaa M. Al-Dubiban
doaj   +1 more source

Trace inequalities for positive definite matrix power products

Linear Algebra and its Applications, 1990
Let A and B be Hermitian positive semidefinite \(N\times N\) matrices and let the eigenvalues of A and B be \(a_ 1,...,a_ N\) and \(b_ 1,...,b_ N\), respectively, with \(0\leq a_ 1\leq a_ 2\leq...\leq a_ N\) and \(0\leq b_ 1\leq b_ 2\leq...\leq b_ N\). The authors give an elementary proof for the inequalities: \[ \sum^{N}_{i=1}a^ n_ i b^ n_{N-i}\leq tr(
Bushell, P.J., Trustrum, G.B.
openaire   +2 more sources

Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization

AIChE Journal, EarlyView.
Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed, Tao Chen, Antonio del Rio Chanona, Lorenz T. Biegler, Michael Short   +4 more
wiley   +1 more source