Gower, J. C. and Zielman, B.
Orthogonality and its approximation in the analysis of asymmetry.
Linear Algebra and its Applications, 278(1-3) pp. 183–193.
Given a square matrix A, we discuss the problem of seeking some constrained matrix C which satisfies (i) A + C = M and (ii) AC = M where M is symmetric, or nearly so. Typical constraints on C include low rank, orthogonality and low-rank departures from a unit matrix. Graphical representation is discussed.
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