The nearest self-adjoint operator

In Ref. 1 Dupré, Goldstein, and Levy showed how self-adjoint approximation of square matrices arose in molecular quantum mechanics. Their main result says that (A+A*)/2=ℛA is the nearest self-adjoint matrix to the square matrix A. In this note we sharpen this result in terms of the calculus.

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Bibliographic Details
Published in:The Journal of chemical physics 1990-06, Vol.92 (11), p.6978-6978
Main Author: MAHER, P. J
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
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Summary:In Ref. 1 Dupré, Goldstein, and Levy showed how self-adjoint approximation of square matrices arose in molecular quantum mechanics. Their main result says that (A+A*)/2=ℛA is the nearest self-adjoint matrix to the square matrix A. In this note we sharpen this result in terms of the calculus.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.458238