RT journal article
T1 Exact Solutions to the Maxmin Problem max parallel to Ax parallel to Subject to parallel to Bx parallel to <= 1
A1 Moreno Pulido, Soledad
A1 García Pacheco, Francisco Javier
A1 Cobos Sánchez, Clemente
A1 Sánchez Alzola, Alberto
A2 Estadística e Investigación Operativa
A2 Ingeniería en AutomáticaElectrónica, Arquitectura y Redes de Computadores
A2 Matemáticas
K1 maxmin
K1 supporting vector
K1 matrix norm
K1 TMS coil
K1 optimal geolocation
AB In this manuscript we provide an exact solution to the maxmin problem max parallel to Ax parallel to subject to parallel to Bx parallel to <= 1, where A and B are real matrices. This problem comes from a remodeling of max parallel to Ax parallel to subject to min parallel to Bx parallel to, because the latter problem has no solution. Our mathematical method comes from the Abstract Operator Theory, whose strong machinery allows us to reduce the first problem to max parallel to Cx parallel to subject to parallel to x parallel to <= 1, which can be solved exactly by relying on supporting vectors. Finally, as appendices, we provide two applications of our solution: first, we construct a truly optimal minimum stored-energy Transcranian Magnetic Stimulation (TMS) coil, and second, we find an optimal geolocation involving statistical variables
PB MDPI
SN 2227-7390
YR 2020
FD 2020-01
LK http://hdl.handle.net/10498/22720
UL http://hdl.handle.net/10498/22720
LA eng
NO Spanish Ministry of Science, Innovation and Universities - FEDER
DS Repositorio Institucional de la Universidad de Cádiz
RD 22-sep-2026