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math.OC2025
Linear Complementarity Problem on the Monotone Extended Second Order Cone
Yingchao Gao, Sándor Z. Németh, Guohan Zhang
In this paper, we study the linear complementarity problems on the monotone extended second order cones. We demonstrate that the linear complementarity problem on the monotone exte…
math.OC2025
On projection mappings and the gradient projection method on hyperbolic space forms
Ronny Bergmann, Orizon P. Ferreira, Sandor Németh +1
This paper presents several new properties of the intrinsic -projection into -hyperbolically convex sets of -hyperbolic space forms, along with closed-form formulas for…
math.OC2025
Why Study the Spherical Convexity of Non-Homogeneous Quadratic Functions, and What Makes It Surprising?
R. Bolton, S. Z. Németh
This paper presents necessary, sufficient, and equivalent conditions for the spherical convexity of non-homogeneous quadratic functions. In addition to motivating this study and id…