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Two inertial DC algorithms for indefinite quadratic programs under linear constraints (IQPs) are considered in this paper. Using a qualification condition related to the normal cones of unbounded pseudo-faces of the polyhedral convex constraint set,
Externí odkaz:
http://arxiv.org/abs/2404.01827
This paper gives some results related to the research problem about infinite-dimensional affine variational inequalities raised by N.D. Yen and X. Yang [Affine variational inequalities on normed spaces, J. Optim. Theory Appl., 178 (2018), 36--55]. Na
Externí odkaz:
http://arxiv.org/abs/2304.08884
Publikováno v:
In Applied Energy 15 November 2024 374
Autor:
Lawson, Jimmie D., Lim, Yongdo
In this paper the authors seek to trace in an accessible fashion the rapid recent development of the theory of the matrix geometric mean in the cone of positive definite matrices up through the closely related operator geometric mean in the positive
Externí odkaz:
http://arxiv.org/abs/2110.13371
Publikováno v:
In Digital Communications and Networks June 2024 10(3):716-727
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Publikováno v:
In Linear Algebra and Its Applications 15 January 2024 681:66-88
Autor:
Lim, Yongdo, Pálfia, Miklós
Sturm's strong law of large numbers in $\mathrm{CAT}(0)$ spaces has been an influential tool to study the geometric mean or also called Karcher barycenter of positive definite matrices. It provides an easily computable stochastic approximation based
Externí odkaz:
http://arxiv.org/abs/1912.09295
Publikováno v:
In Applied Mathematics and Computation 15 February 2023 439
Autor:
Hiai, Fumio, Lim, Yongdo
Let $\mathbb{P}$ be the complete metric space consisting of positive invertible operators on an infinite-dimensional Hilbert space with the Thompson metric. We introduce the notion of operator means of probability measures on $\mathbb{P}$, in paralle
Externí odkaz:
http://arxiv.org/abs/1901.03858