Exact Solutions to the Maxmin Problem max ||Ax|| Subject to ||Bx||<= 1

• Published in: arXiv.org
• Main Authors: Moreno-Pulido, Soledad, García-Pacheco, Francisco Javier, Cobos-Sánchez, Clemente, Sánchez-Alzola, Alberto
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 09.02.2024
• Subjects: Exact solutions; Mathematical analysis; Mathematics - Functional Analysis; Mathematics - Mathematical Physics; Mathematics - Optimization and Control; Physics - Mathematical Physics

In this manuscript we provide an exact solution to the maxmin problem max ||Ax|| subject to ||Bx||<= 1, where A and B are real matrices. This problem comes from a remodeling of max ||Ax|| subject to min ||Bx||, because the latter problem has no solution. Our mathematical method comes from the Abs...