Closest normal matrix finally found!
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- Part II Numerical Mathematics
- Published: December 1987
Closest normal matrix finally found!
volume 27, pages585–598(1987)Cite this article
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295 Accesses
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Abstract
A method of finding the closest normal matrix in the Frobenius matrix norm is developed. It is shown that if a matrix is represented in those coordinates where its closest normal matrix is diagonal, its restriction to any pair of coordinate directions is a multiple of a real diagonal and skew nondiagonal 2×2 matrix. A convergent algorithm to bring an arbitrary matrix into that form is described and results of numerical tests are reported.
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Author information
Affiliations
Department of Computer Science, Chalmers Institute of Technology and the University of Göteborg, S-41296, Göteborg, Sweden
Axel Ruhe
Additional information
Dedicated to the memory of Peter Henrici (1923–1987).
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Cite this article
Ruhe, A. Closest normal matrix finally found!. BIT 27, 585–598 (1987). https://doi.org/10.1007/BF01937278
Received15 December 1986
Revised15 September 1987
Issue DateDecember 1987
Subject classifications
- AMS(MOS)
- 65F35
- 15A60
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