Results 31 to 40 of about 1,101,519 (253)
Abstract and Applied Analysis, 2012 The generalized coupled Sylvester systems play a fundamental role in wide applications in several areas, such as stability theory, control theory, perturbation analysis, and some other fields of pure and applied mathematics.
Feng Yin, Guang-Xin Huang
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Commutators with maximal Frobenius norm
Linear Algebra and its Applications, 2010 Let \(X\) and \(Y\) be real or complex \(n\times n\) matrices, and let \(\|.\|_F\) denote the Frobenius norm. The inequality \[ \|XY-YX\|_F\leq\sqrt{2}\|X\|_F\|Y\|_F\tag{1} \] conjectured for real matrices by \textit{A.~Böttcher} and \textit{D.~Wenzel}~[Linear Algebra Appl.~403, 216--228 (2005; Zbl 1077.15020)], was proved for real matrices by \textit ...
Cheng, Che-Man +2 more
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The χ-Hessian Quotient for Riemannian Metrics
Axioms, 2021 Pseudo-Riemannian geometry and Hilbert–Schmidt norms are two important fields of research in applied mathematics. One of the main goals of this paper will be to find a link between these two research fields. In this respect, in the present paper, we will
Pişcoran Laurian-Ioan +3 more
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Matrix Completion via Max-Norm Constrained Optimization [PDF]
, 2016 Matrix completion has been well studied under the uniform sampling model and the trace-norm regularized methods perform well both theoretically and numerically in such a setting.
Cai, T. Tony, Zhou, Wen-Xin
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On two finiteness conditions for Hopf algebras with nonzero integral [PDF]
, 2012 A Hopf algebra is co-Frobenius when it has a nonzero integral. It is proved that the composition length of the indecomposable injective comodules over a co-Frobenius Hopf algebra is bounded.
Andruskiewitsch, Nicolás +2 more
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Mathematics, 2022 This article studies the estimation of the precision matrix of a high-dimensional Gaussian network. We investigate the graphical selector operator with shrinkage, GSOS for short, to maximize a penalized likelihood function where the elastic net-type ...
Azam Kheyri +2 more
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An Iterative Algorithm for the Reflexive Solution of the General Coupled Matrix Equations
The Scientific World Journal, 2013 The general coupled matrix equations (including the generalized coupled Sylvester matrix equations as special cases) have numerous applications in control and system theory.
Zhongli Zhou, Guangxin Huang
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An Efficient Algorithm for the Reflexive Solution of the Quaternion Matrix Equation AXB+CXHD=F
Journal of Applied Mathematics, 2013 We propose an iterative algorithm for solving the reflexive solution of the quaternion matrix equation AXB+CXHD=F. When the matrix equation is consistent over reflexive matrix X, a reflexive solution can be obtained within finite iteration steps in the ...
Ning Li, Qing-Wen Wang, Jing Jiang
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Global Stability Analysis of Neural Networks with Constant Time Delay via Frobenius Norm
Mathematical Problems in Engineering, 2020 This paper deals with the global asymptotic robust stability (GARS) of neural networks (NNs) with constant time delay via Frobenius norm. The Frobenius norm result has been utilized to find a new sufficient condition for the existence, uniqueness, and ...
N. M. Thoiyab +7 more
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Noncoherent unitary space-time design base on Grassmann manifold
Tongxin xuebao, 2013 A novel search technique was presented for designing noncoherent unitary space-time constellation.First of all,a unitary matrix framework based on Grassmann manifold was defined.Under the constraint of this framework,a dis-tance threshold was set by ...
Da-wei FU +3 more
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