Optimizing the Coupling Between Two Isometric Projections of Matrices

  title={Optimizing the Coupling Between Two Isometric Projections of Matrices},
  author={Catherine Fraikin and Yurii Nesterov and Paul Van Dooren},
  journal={SIAM J. Matrix Analysis Applications},
In this paper, we analyze the coupling between the isometric projections of two square matrices. These two matrices of dimensions m × m and n × n are restricted to a lower kdimensional subspace under isometry constraints. We maximize the coupling between these isometric projections expressed as the trace of the product of the projected matrices. First we connect this problem to notions such as the generalized numerical range, the field of values, and the similarity matrix. We show that these… CONTINUE READING