Results 11 to 20 of about 77,241 (265)
Joint numerical ranges and commutativity of matrices
Journal of Mathematical Analysis and Applications, 2020 The connection between the commutativity of a family of $n\times n$ matrices and the generalized joint numerical ranges is studied. For instance, it is shown that ${\cal F}$ is a family of mutually commuting normal matrices if and only if the joint numerical range $W_k(A_1, \dots, A_m)$ is a polyhedral set for some $k$ satisfying $|n/2-k|\le 1$, where $
Chi-Kwong Li, Yiu-Tung Poon, Ya-Shu Wang
openaire +3 more sources
A Fast PARAFAC Algorithm for Parameter Estimation in Monostatic FDA-MIMO Radar
Remote Sensing, 2022 This paper studies the joint range and angle estimation of monostatic frequency diverse array multiple-input multiple-output (FDA-MIMO) radar and proposes a joint estimation algorithm. First, the transmit direction matrix is converted into real values by
Wenshuai Wang +3 more
doaj +1 more source
Tensor Products and Joint Numerical Range [PDF]
Proceedings of the American Mathematical Society, 1973 It is shown that the joint numerical range of the tensor product of several operators is the cartesian product of their numerical ranges.
openaire +1 more source
Multiplicities, boundary points, and {joint} numerical ranges [PDF]
Operators and Matrices, 2011 The multiplicity of a point in the joint numerical range W (A1,A2,A3) ⊆ R3 is studied for n× n Hermitian matrices A1,A2,A3 . The relative interior points of W (A1,A2,A3) have multiplicity greater than or equal to n− 2 . The lower bound n− 2 is best possible. Extreme points and sharp points are studied. Similar study is given to the convex set V (A) := {
Wai-Shun Cheung, Xuhua Liu, Tin-Yau Tam
openaire +1 more source
Joint Radar-Communication System Design Based on FDA-MIMO via Frequency Index Modulation
IEEE Access, 2023 The index modulation based on multiple-antenna architecture is a prospective information embedding approach for the joint radar-communication system (JRCS).
Mengjiao Li, Wen-Qin Wang
doaj +1 more source
On the joint numerical status and tensor products
International Journal of Mathematics and Mathematical Sciences, 1990 We prove a result on the joint numerical status of the bounded Hilbert space operators on the tensor products. The result seems to have nice applications in the multiparameter spectral theory.
Ram Verma, Lokenath Debnath
doaj +1 more source
Journal of Biomechanical Science and Engineering, 2023 This study aims to establish a monocular camera-based system that uses a generative adversarial network (GAN) to estimate a 3D pose of a human and his/her orientation relative to the camera from images by considering anatomical knowledge such as segment ...
Akisue KURAMOTO +2 more
doaj +1 more source
Simultaneous Hollowization, Joint Numerical Range, and Stabilization by Noise
SIAM Journal on Matrix Analysis and Applications, 2020 We consider orthogonal transformations of arbitrary square matrices to a form where all diagonal entries are equal. In our main results we treat the simultaneous transformation of two matrices and the symplectic orthogonal transformation of one matrix.
Tobias Damm, Heike Faßbender
openaire +2 more sources
On multiparameter spectral theory
International Journal of Mathematics and Mathematical Sciences, 1991 A connection between the numerical range of the multipararneter linear system P(λ) and the joint numerical range of the (commuting) separating operator system is given.
Lokenath Debnath, Ram Verma
doaj +1 more source
Buckling failure analysis and numerical manifold method simulation for Malvern Hills slope
Rock and Soil Mechanics, 2022 Based on the energy equilibrium, the computational formula of critical buckling length of multi-layer rock slope is derived. Considering interlayer and cross joints, the numerical manifold method is used to simulate the buckling evolution process of ...
WANG Qiu-sheng +2 more
doaj +1 more source