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Positive definiteness of Hadamard exponentials and Hadamard inverses
Let A be a positive semidefinite matrix. It is known that the Hadamard exponential of A is positive semidefinite; it is positive definite if and only...
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Optimality conditions and duality for multiobjective semi-infinite optimization problems with switching constraints on Hadamard manifolds
This paper deals with a certain class of multiobjective semi-infinite programming problems with switching constraints (in short, MSIPSC) in the...
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Second-order optimality conditions for set-valued optimization problems under the set criterion
This paper investigates second-order optimality conditions for general constrained set-valued optimization problems in normed vector spaces under the...
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Singular value inequalities for submultiplicative and subadditive functions of matrices
We prove new singular value inequalities involving submultiplicative and subadditive functions of matrices. Singular value inequalities for sums and...
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Diffusion Processes with One-sided Selfsimilar Random Potentials
Long-time behavior of diffusion processes with one-sided random potentials starting from the origin is studied. As random potentials, some strictly...
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A Perron–Frobenius type result in Banach algebras via asymptotic closeness to a cone
For an element a of a Banach algebra (scaled to spectral radius 1) we prove that the spectral radius is contained in the spectrum, if the sequence of...
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Large Deviations of Stochastic Heat Equations with Logarithmic Nonlinearity
In this paper, we establish a large deviation principle for the solutions to the stochastic heat equations with logarithmic nonlinearity driven by...
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Finite Time Blow-Up Behaviors of Strong Solutions to the Compressible Navier-Stokes Equations
In this paper, we are interested in the finite time blow-up behaviors of strong solutions to the compressible Navier-Stokes equations with vacuum as...
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A variational formulation for a trust and reputation system
Trust and reputation systems play a pivotal role in modern decentralized environments, fostering cooperation and mitigating risks in various online...
