Results 91 to 100 of about 5,271,349 (211)
Matrices with positive semidefinite real part
Matrices with the property that the real part is positive definite, have been studied for the past five decades or more. Many results in the form of inequalities have been obtained for matrices possessing this property.
Choudhury, Projesh Nath, Sivakumar, KC
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ABSTRACT This paper presents novel results regarding the input–output finite‐time stability (IO‐FTS) of nonlinear quadratic systems (NLQSs), a class of dynamical models particularly useful for the study of robotic systems, biochemical reaction networks, and other processes of interest to the applied sciences.
Alessio Merola +5 more
wiley +1 more source
ON THE SET-SEMIDEFINITE REPRESENTATION OF NONCONVEX QUADRATIC PROGRAMS WITH CONE CONSTRAINTS
The well-known result stating that any non-convex quadratic problem over the non-negative orthant with some additional linear and binary constraints can be rewritten as linear problem over the cone of completely positive matrices (Burer, 2009) is ...
Gabriele Eichfelder, Janez Povh
doaj
Log-Determinant Divergences Revisited: Alpha-Beta and Gamma Log-Det Divergences
This work reviews and extends a family of log-determinant (log-det) divergences for symmetric positive definite (SPD) matrices and discusses their fundamental properties.
Andrzej Cichocki +2 more
doaj +1 more source
ABSTRACT This paper proposes a Machine Learning (ML)‐enabled estimator‐controller design framework, in which a parameterized Model Predictive Controller (MPC) and a parameterized Moving Horizon Estimator (MHE) are jointly refined using Bayesian Optimization (BO).
Hossein Nejatbakhsh Esfahani +1 more
wiley +1 more source
Inertia of partial transpose of positive semidefinite matrices [PDF]
We show that the partial transpose of $9\times 9$ positive semidefinite matrices do not have inertia (4,1,4) and (3,2,4). It solves an open problem in "LINEAR AND MULTILINEAR ALGEBRA, Changchun Feng et al, 2022".
Chen, Lin +3 more
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Abstract Alcohol policy liberalization is a contentious issue in the United States, including debates over whether grocery stores should be allowed to sell wine. This issue reflects a dilemma between accommodating consumer convenience, promoting wine industry growth, and generating tax revenue, versus concerns about potential harm to liquor stores ...
Jiayu Sun +3 more
wiley +1 more source
Positive semidefiniteness of estimated covariance matrices in linear models for sample survey data
Descriptive analysis of sample survey data estimates means, totals and their variances in a design framework. When analysis is extended to linear models, the standard design-based method for regression parameters includes inverse selection probabilities ...
Haslett Stephen
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Positive semidefinite 3 x 3 block matrices
Several results related to positive semidefinite 3 by 3 block matrices are presented. In particular, a question of Audenaert is answered affirmatively and some determinantal inequalities are ...
Lin, Minghua, van den Driessche, Pauline
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Extremal positive semidefinite doubly stochastic matrices [PDF]
Let Kn denote the closed convex set of all n-by-n positive semidefinite doubly stochastic matrices. The extreme points of Kn have not been determined. In this paper, we find some extreme points.
Pierce, Steve, Grone, Bob
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