Orthogonality and its approximation in the analysis of asymmetry

Gower, J. C. and Zielman, B. (1998). Orthogonality and its approximation in the analysis of asymmetry. Linear Algebra and its Applications, 278(1-3) pp. 183–193.

DOI: https://doi.org/10.1016/S0024-3795(97)10090-8

Abstract

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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