11 citations · 16 across the 9 of their papers we have counts for
4 papers · 1 filter
A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces
S. Z. Németh
If and are mutually dual closed convex cones in a Hilbert space with the metric projections onto them denoted by and respectively, then the following two assert…
Lattice-like operations and isotone projection sets
A. B. Németh, S. Z. Németh
By using some lattice-like operations which constitute extensions of ones introduced by M. S. Gowda, R. Sznajder and J. Tao for self-dual cones, a new perspective is gained on the…
Isotonicity of the projection onto the monotone cone
A. B. Németh, S. Z. Németh
A wedge (i.e., a closed nonempty set in the Euclidean space stable under addition and multiplication with non-negative scalars) induces by a standard way a semi-order (a reflexive…
How to project onto the monotone nonnegative cone using Pool Adjacent Violators type algorithms
A. B. Németh, S. Z. Németh
The metric projection onto an order nonnegative cone from the metric projection onto the corresponding order cone is derived. Particularly, we can use Pool Adjacent Violators-type…