Characterization of Strict Positive Definiteness on products of complex spheres
Sign Up to like & getrecommendations! Published in 2019 at "Positivity"
DOI: 10.1007/s11117-018-00641-5
Abstract: In this paper we consider Positive Definite functions on products $$\Omega _{2q}\times \Omega _{2p}$$Ω2q×Ω2p of complex spheres, and we obtain a condition, in terms of the coefficients in their disc polynomial expansions, which is necessary… read more here.
Keywords: products complex; definiteness products; complex spheres; characterization strict ... See more keywords
Positive definiteness and the Stolarsky invariance principle
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2022.126220
Abstract: In this paper we elaborate on the interplay between energy optimization, positive definiteness, and discrepancy. In particular, assuming the existence of a K-invariant measure μ with full support, we show that conditional positive definiteness of… read more here.
Keywords: energy; positive definiteness; definiteness; stolarsky invariance ... See more keywords
Conditional positive definiteness as a bridge between k–hyponormality and n–contractivity
Sign Up to like & getrecommendations! Published in 2021 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2021.05.004
Abstract: Abstract For sequences α ≡ { α n } n = 0 ∞ of positive real numbers, called weights, we study the weighted shift operators W α having the property of moment infinite divisibility (… read more here.
Keywords: definiteness; bridge hyponormality; hyponormality; hyponormality contractivity ... See more keywords
Humanoid Motion Control by Compliance Optimization Explicitly Considering its Positive Definiteness
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Robotics"
DOI: 10.1109/tro.2021.3119934
Abstract: This article discusses a compliance optimization approach that satisfies positive definiteness. Physical human–robot interactions are an important topic in robotics, for which force or compliance control is a key technology. Operational space control (OSC) is… read more here.
Keywords: compliance; compliance optimization; control; positive definiteness ... See more keywords
On the positive definiteness of some functions related to the Schoenberg problem
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Notes"
DOI: 10.1134/s0001434617090036
Abstract: For a broad class of functions f: [0,+∞) → ℝ, we prove that the function f(ρλ(x)) is positive definite on a nontrivial real linear space E if and only if 0 ≤ λ ≤ α(E,… read more here.
Keywords: related schoenberg; schoenberg; definiteness functions; functions related ... See more keywords
Sharp Z-eigenvalue inclusion set-based method for testing the positive definiteness of multivariate homogeneous forms
Sign Up to like & getrecommendations! Published in 2020 at "Filomat"
DOI: 10.2298/fil2009131w
Abstract: In this paper, we establish a sharp Z-eigenvalue inclusion set for even-order real tensors by Zidentity tensor and prove that new Z-eigenvalue inclusion set is sharper than existing results. We propose some sufficient conditions for… read more here.
Keywords: testing positive; eigenvalue inclusion; positive definiteness; inclusion set ... See more keywords
Practical Criteria for H-Tensors and Their Application
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14010155
Abstract: Identifying the positive definiteness of even-order real symmetric tensors is an important component in tensor analysis. H-tensors have been utilized in identifying the positive definiteness of this kind of tensor. Some new practical criteria for… read more here.
Keywords: tensor; criteria tensors; tensors application; positive definiteness ... See more keywords