TY - JOUR
T1 - Enhanced Basic Procedures for the Projection and Rescaling Algorithm
AU - Gutman, David
PY - 2019/1/24
Y1 - 2019/1/24
N2 - Using an efficient algorithmic implementation of Caratheodory’s theorem, we propose three enhanced versions of the projection and rescaling algorithm’s basic procedures. Each of these enhanced procedures improves upon the order of complexity of its analogue in Peña and Soheili (Math Program 166(1):87–111, 2017) when the dimension of the subspace is sufficiently smaller than the dimension of its ambient space.
AB - Using an efficient algorithmic implementation of Caratheodory’s theorem, we propose three enhanced versions of the projection and rescaling algorithm’s basic procedures. Each of these enhanced procedures improves upon the order of complexity of its analogue in Peña and Soheili (Math Program 166(1):87–111, 2017) when the dimension of the subspace is sufficiently smaller than the dimension of its ambient space.
U2 - 10.1007/s11590-019-01390-4
DO - 10.1007/s11590-019-01390-4
M3 - Article
SP - 1259
EP - 1267
JO - Optimization Letters
JF - Optimization Letters
ER -