YEN-CHING CHANG2026-10-162026-10-162009-01-01Pure ID: 14939454Pure UUID: e779a37f-f55f-4c74-bf14-aefd1cda54c010.1109/BMEI.2009.5304779https://www.scopus.com/pages/publications/74049101110https://scholars.csmu.edu.tw/handle/123456789/22368One-dimension (1-D) golden section search (GSS) is widely used in many fields. This algorithm is very suitable for searching without derivative for the extrema of objective functions with unimodal. Two-dimension (2-D) GSS was also implemented and used for object tracking. In this paper, a structured n-dimension GSS and its variants are proposed. It has been shown that 1-D GSS is the fastest algorithm except for Fibonacci search. However, the efficiency of n-dimension GSS, n > 1 , is generally not the case. The phenomenon will be analyzed and experimented. In addition, the limitations of n-D GSS are also illustrated. These concepts are very important for the future use of GSS.enjournal article