Results 1 to 10 of about 23,283 (202)
5-Approximation for ℋ-Treewidth Essentially as Fast as ℋ-Deletion Parameterized by Solution Size [PDF]
, 2023 The notion of ℋ-treewidth, where ℋ is a hereditary graph class, was recently introduced as a generalization of the treewidth of an undirected graph. Roughly speaking, a graph of ℋ-treewidth at most k can be decomposed into (arbitrarily large) ℋ-subgraphs
Jansen, Bart M. P. +4 more
core +1 more source
Open Mathematics, 2021 Positive definite polynomials are important in the field of optimization. ℋ-tensors play an important role in identifing the positive definiteness of an even-order homogeneous multivariate form.
Sun Deshu, Bai Dongjian
doaj +1 more source
An ℋ-tensor-based criteria for testing the positive definiteness of multivariate homogeneous forms
Open Mathematics, 2022 A positive definite homogeneous multivariate form plays an important role in the field of optimization, and positive definiteness of the form can be identified by a special structured tensor.
Bai Dongjian, Wang Feng
doaj +1 more source
Linear maps on ℬ(ℋ) preserving some operator properties
, 2021 In this paper, for a complex Hilbert space ℋ with dim ℋ ≥ 2, we study the linear maps on ℬ(ℋ), the bounded linear operators on ℋ, that preserves projections and idempotents.
Niazi Motlagh, Abolfazl +2 more
core +1 more source
A Review of Tensors and Tensor Signal Processing
, 2009 Tensors have been broadly used in mathematics and physics, since they are a generalization of scalars or vectors and allow to represent more complex properties.
Acar, Burak, +7 more
core +2 more sources
Computing symmetric rank for symmetric tensors. [PDF]
, 2009 We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algebraic geometry approach. We give algorithms for computing the symmetric rank for $2\times \cdots \times 2$ tensors and for tensors of small border rank ...
Gimigliano, Alessandro +6 more
core +1 more source
Stable ℋ∞ controller design for systems with time delays [PDF]
, 2010 One of the difficult problems of robust control theory is to find strongly stabilizing controllers (i.e. stable controllers leading to stable feedback system) which satisfy a certain ℋ∞ performance objective.
Hitay Özbay, Özbay, Hitay
core +1 more source
Tensors for neuroimaging: A review on applications of tensors to unravel the mysteries of the brain
, 2022 Neuroimaging techniques are used to image the structure and function of the nervous system for medicine, psychology, and neuroscience research. Brain data are inherently multidimensional and complex, and the recent advances in neuroimaging allow the ...
Hunyadi, Borbala (author) +1 more
core +1 more source
On Geometric Transformations of Local Structure Tensors
, 2009 The structure of images has been studied for decades and the use of local structure tensor fields appeared during the eighties [3, 14, 6, 9, 11]. Since then numerous varieties of tensors and estimation schemes have been developed.
Anders Brun +7 more
core +1 more source
Techniques for Computing Fabric Tensors : A Review
, 2014 The aim of this chapter is to review different approaches that have been proposed to compute fabric tensors with emphasis on trabecular bone research.
Moreno, Rodrigo +8 more
core +1 more source