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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About

• Item ORO ID
• 24032
• Item Type
• Journal Item
• ISSN
• 0024-3795
• Keywords
• matrix approximation; orthogonal matrices; skew-symmetric matrices; graphical representations of matrices
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 1998 Elsevier Inc.
• Depositing User
• Sarah Frain