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Analytical formulas for calculating the extremal ranks of the matrix-valued function $A + BXC$ when the rank of $X$ is fixed

Tian Yongge(yongge.tian***at***gmail.com)

Abstract: 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.

Keywords: atrix-valued function; rank; optimization; simultaneous matrix decomposition.

Category 1: Global Optimization

Citation:

Download: [PDF]

Entry Submitted: 04/03/2012
Entry Accepted: 04/08/2012
Entry Last Modified: 04/03/2012

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