An inequality for positive definite matrices with applications to combinatorial matrices [PDF]
, 1997 If A ∈ Mn(C) is a positive definite Hermitian matrix, d the average of the diagonal entries of A, and f the average of the absolute values of the off-diagonal entries of A, then det A ⩽ (d − f)n−1[d + (n − 1)f].
Neubauer, Michael G.
core +1 more source
Advanced Intelligent Systems, EarlyView.The method presented in this paper provides a practical sensorless solution for estimating both contact force and contact location using only standard joint encoders and an available robot dynamic model. By reformulating the contact estimation problem using a single scalar equivalent contact parameter, the approach enables fast and robust computation ...
Thanh‐Quan Ta, Shyh‐Leh Chen
wiley +1 more source
Even-Order Pascal Tensors Are Positive-Definite
MathematicsIn this paper, we show that even-order Pascal tensors are positive-definite, and odd-order Pascal tensors are strongly completely positive. The significance of these is that our induction proof method also holds for some other families of completely ...
Chunfeng Cui, Liqun Qi, Yannan Chen
doaj +1 more source
Approximation of the pth Roots of a Matrix by Using Trapezoid Rule
International Journal of Mathematics and Mathematical Sciences, 2012 The computation of the roots of positive definite matrices arises in nuclear magnetic resonance, control theory, lattice quantum chromo-dynamics (QCD), and several other areas of applications.
Amir Sadeghi, Ahmad Izani Md. Ismail
doaj +1 more source
Geostatistical modeling of positive-definite matrices: An application to diffusion tensor imaging. [PDF]
Biometrics, 2022 Lan Z +5 more
europepmc +1 more source
‘Turkeys Cannot Vote for Christmas’: Why Epistemic Disobedience in an Anti‐Black World Matters
Australian Journal of Social Issues, EarlyView.ABSTRACT Never in the history of global coloniality has the idea of epistemic disobedience been as important as in the 21st century. This is not only because the struggle for decolonisation has shifted from physical confrontation between the coloniser and the colonised into a battle of ideas but also because the former has deployed the idea of ...
Morgan Ndlovu
wiley +1 more source
Random projections on manifolds of symmetric positive definite matrices for image classification [PDF]
, 2014 Recent advances suggest that encoding images through Symmetric Positive Definite (SPD) matrices and then interpreting such matrices as points on Riemannian manifolds can lead to increased classification performance.
Lovell, Brian C +11 more
core +1 more source
SPD-CNN: A plain CNN-based model using the symmetric positive definite matrices for cross-subject EEG classification with meta-transfer-learning. [PDF]
Front Neurorobot, 2022 Chen L, Yu Z, Yang J.
europepmc +1 more source
Adapting the interior point method for the solution of LPs on serial, coarse grain parallel and massively parallel computers [PDF]
, 1990 In this paper we describe a unified scheme for implementing an interior point algorithm (IPM) over a range of computer architectures. In the inner iteration of the IPM a search direction is computed using Newton's method.
Levkovitz, R +7 more
core
Kolmogorov's complexity for positive definite matrices [PDF]
, 2002 Based on Kolmogorov's idea, complexity of positive definite matrices with respect to a unit vector is defined. We show that the range of the complexity coincides with the logarithm of its spectrum and the order induced by the complexity is equivalent to ...
Fujii, Masatoshi +3 more
core +1 more source