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河北工程大学
5
When can a global(or Iocal) minimum be identified by a global(or local) minimum along lines?
The talk explores conditions under which a global or local minimum of a function can be recognized by examining minima along straight lines. This involves analyzing the relationship between line-restricted optimizations and full-space optimality in mathematical analysis and optimization theory.
报告介绍
This lecture addresses a fundamental question in mathematical optimization: when does the property of being a minimum along every line imply that a point is a local or global minimum in the entire domain? The problem has implications for convexity, quasiconvexity, and the geometry of functions. The discussion will include theoretical results and examples illustrating both positive cases and limitations.
