Analytical formulas for calculating the extremal ranks of the matrix-valued function + BXC$ when the rank of $ is fixed Published: 2012/04/03 Yongge TianCategories Global Optimization Short URL: https://optimization-online.org/?p=11991 Analytical formulas are established for calculating the maximal and minimal ranks of the matrix-valued function $A + BXC$ when the rank of $X$ is fixed. Some consequences are also given. ArticleDownload View PDF