Results 111 to 120 of about 649,170 (367)
Positive definiteness: from scalar to operator-valued kernels [PDF]
Surveys in Mathematics and its Applications, 2021 In this paper we present a short overview of results that provide relationships among scalar, matrix-valued and certain operator-valued positive definite kernels.
V. A. Menegatto
doaj
A fast, preconditioned conjugate gradient Toeplitz solver [PDF]
A simple factorization is given of an arbitrary hermitian, positive definite matrix in which the factors are well-conditioned, hermitian, and positive definite.
Pan, Victor, Schrieber, Robert
core +1 more source
Positive-Definite Sparse Precision Matrix Estimation
Advances in Pure Mathematics, 2017 The positive-definiteness and sparsity are the most important property of high-dimensional precision matrices. To better achieve those property, this paper uses a sparse lasso penalized D-trace loss under the positive-definiteness constraint to estimate high-dimensional precision matrices.
Tao Wu +3 more
openaire +3 more sources
A Wearable Soft Actuator for Directional Tactile Stimulation: Design and Testing
Advanced Intelligent Systems, EarlyView.A wearable actuator able to produce directional tactile stimulation is obtained by embedding a planar shape memory spring in silicone matrix. The matrix is designed taking into account skin characteristics and leveraging its multifunctionality: it acts as a bias load, improves the thermal behavior of the spring and wearability.
Fabio Lazzari +6 more
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
The Problem with the Linpack Benchmark Matrix Generator [PDF]
arXiv, 2008 We characterize the matrix sizes for which the Linpack Benchmark matrix generator constructs a matrix with identical columns.
arxiv
Advanced Intelligent Systems, EarlyView.Image classification plays a pivotal role in biomedical image analysis. Herein, it is shown that large multimodal models, such as GPT‐4, achieve superior performance in one‐shot learning, generalization, interpretability, and text‐driven image classification. Applications span tissue, cell type, cellular state, and disease classification, outperforming
Wenpin Hou +4 more
wiley +1 more source
Bi-periodic Fibonacci matrix polynomial and its binomial transforms [PDF]
arXiv, 2017 In this paper, we consider the matrix polynomial obtained by using bi-periodic Fibonacci matrix polynomial. Then, we give some properties and binomial transforms of the new matrix polynomials.
arxiv
Treecreeper Drone: Adaptive Mechanism for Passive Tree Trunk Perching
Advanced Intelligent Systems, EarlyView.Taking inspiration from treecreepers, a passively triggered aerial robot that can reliably perch on vertical tree trunks is presented. The friction‐based approach combines a microspine array with a tail‐like support, and then validates via dynamic analyses and flight experiments, ensuring stable performance across trunk diameters and bark textures ...
Haichuan Li +2 more
wiley +1 more source
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
doaj +1 more source