T-positive semidefiniteness of third-order symmetric tensors and T-semidefinite programming
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DOI: 10.1007/s10589-020-00231-w
Abstract: The T-product for third-order tensors has been used extensively in the literature. In this paper, we first introduce first-order and second-order T-derivatives for the multi-variable real-valued function with the tensor T-product. Inspired by an equivalent… read more here.
Keywords: order; third order; symmetric tensors; positive semidefiniteness ... See more keywords
Approximation of eigenvalues below the essential spectra of singular second-order symmetric linear difference equations
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DOI: 10.1007/s11425-016-0223-9
Abstract: This paper is concerned with approximation of eigenvalues below the essential spectra of singular second-order symmetric linear difference equations with at least one endpoint in the limit point case. A sufficient condition is firstly given… read more here.
Keywords: order symmetric; second order; singular second; eigenvalues essential ... See more keywords
Mixed Type Nondifferentiable Higher-Order Symmetric Duality over Cones
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DOI: 10.3390/sym12020274
Abstract: A new mixed type nondifferentiable higher-order symmetric dual programs over cones is formulated. As of now, in the literature, either Wolfe-type or Mond–Weir-type nondifferentiable symmetric duals have been studied. However, we present a unified dual… read more here.
Keywords: duality; type nondifferentiable; order; order symmetric ... See more keywords