Data Structures and Algorithms

   

A Note on Rank Constrained Solutions to Linear Matrix Equations

Authors: Shravan Mohan

This preliminary note presents a heuristic for determining rank constrained solutions to linear matrix equations (LME). The method proposed here is based on minimizing a non- convex quadratic functional, which will hence-forth be termed as the Low-Rank-Functional (LRF). Although this method lacks a formal proof/comprehensive analysis, for example in terms of a probabilistic guarantee for converging to a solution, the proposed idea is intuitive and has been seen to perform well in simulations. To that end, many numerical examples are provided to corroborate the idea.

Comments: 10 Pages.

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Submission history

[v1] 2018-09-05 07:47:16

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