Results 71 to 80 of about 5,271,349 (211)

Fractional Hadamard powers of positive semidefinite matrices

open access: yesLinear Algebra and its Applications, 2003
The authors consider the class \(\varphi_n\) of all real positive semidefinite \(n\times n\) matrices, and the subclass \(\varphi^+_n\) of all \(A\in\varphi_n\) with non-negative entries. For a positive, non-integer number \(\alpha\) and some \(A\in \varphi_n^+\), when will the fractional Hadamard power \(A^{\diamondsuit \alpha}\) again belong to ...
Fischer, P., Stegeman, J.D.
openaire   +3 more sources

Enhancing Drone Light Shows Performances: Optimal Allocation and Trajectories for Swarm Drone Formations

open access: yesJournal of Field Robotics, EarlyView.
ABSTRACT Drone light shows (DLShows) represent a rapidly growing application of swarm robotics, creating captivating aerial displays through the synchronized flight of hundreds or thousands of unmanned aerial vehicles (UAVs) as environmentally friendly and reusable alternatives to traditional pyrotechnics.
Yunes Alqudsi
wiley   +1 more source

Separability of symmetric states and vandermonde decomposition

open access: yesNew Journal of Physics, 2020
Symmetry is one of the central mysteries of quantum mechanics and plays an essential role in multipartite entanglement. In this paper, we consider the separability problem of quantum states in the symmetric space.
Lilong Qian, Lin Chen, Delin Chu
doaj   +1 more source

Graph‐Laplacian modeling of spatiotemporal effects for house price estimation

open access: yesReal Estate Economics, EarlyView.
Abstract Many variables involve the modeling of spatial effects, and their dynamics over time. This article presents a linear model in which spatiotemporal random effects are modeled by graph‐Laplacians. A graph‐Laplacian flexibly encodes adjacency in both space and time, in our case not depending on unknown parameters. The graph‐Laplacian can be input
Willem P Sijp, Marc K. Francke
wiley   +1 more source

A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm

open access: yesJournal of Inequalities and Applications, 2018
Recently, Kittaneh and Manasrah (J. Math. Anal. Appl. 361:262–269, 2010) showed a refinement of the arithmetic–geometric mean inequality for the Frobenius norm. In this paper, we shall present a generalization of Kittaneh and Manasrah’s result. Meanwhile,
Xuesha Wu
doaj   +1 more source

Computing Skinning Weights via Convex Duality

open access: yesComputer Graphics Forum, EarlyView.
We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley   +1 more source

Positive semidefinite quadratic forms on unitary matrices [PDF]

open access: yes, 2010
Letf(x1,…,xn)=∑i,j=1nαijxixj,aij=aji∈Rbe a real quadratic form such that the trace of the Hermitian matrixf(V1,…,Vn):=∑i,j=1nαijVi∗Vjis nonnegative for all unitary 2n×2n matrices V1,…,Vn.
Popovych, Stanislav
core   +1 more source

The Story(line) So Far: A Survey on Storyline Visualization

open access: yesComputer Graphics Forum, EarlyView.
Abstract Storyline visualizations model narratives as temporal networks, using x‐monotone lines to represent entities and their interactions over time. This technique offers an intuitive way to reveal structural patterns over time, such as character co‐occurrence and narrative flow.
S. Di Bartolomeo   +4 more
wiley   +1 more source

Approximation by matrices positive semidefinite on a subspace [PDF]

open access: yes, 1988
We obtain the best approximation to a matrix by matrices positive semidefinite on a subspace.
Wells, Jim, Hayden, T.L.
core   +1 more source

A Splitting Architecture for Exact Reduced Coulomb Friction

open access: yesComputer Graphics Forum, EarlyView.
Abstract Existing approaches to frictional contact dynamics typically either modify the Coulomb law to improve numerical robustness or solve the exact law in a fully coupled monolithic form. However, in its reduced form, exact Coulomb friction can be written as a cone complementarity problem with an augmented velocity, which reveals a natural split ...
Hongcheng Song   +3 more
wiley   +1 more source

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