Abstract
The sequence of matrix multiplications
applied to real matrices, leads to a new matrix 
. If
U is called an orthogonal matrix, and the operation (W.1) is called an orthogonal transformation (a special case of a “similarity transformation”). If A is symmetric, this property will be found again in the orthogonally transformed A, that is, in A′.
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Selected References
Margenau,H.; Murphy, G., editors, “The Mathematics of Physics and Chemistry”, Vol. 2 ( Van Nostrand: New York ) 1964.
Householder, A. S., “The Theory of Matrices in Numerical Analysis” ( Blaisdell: New York ) 1964.
Wilkinson, J.H., “The Algebraic Eigenvalue Problem” ( Clarendon: Oxford ) 1965.
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© 1972 Springer-Verlag Berlin · Heidelberg
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Diehl, P., Kellerhals, H., Lustig, E. (1972). Diagonalization of Symmetric Matrices. In: Computer Assistance in the Analysis of High-Resolution NMR Spectra. NMR, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65261-5_13
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DOI: https://doi.org/10.1007/978-3-642-65261-5_13
Publisher Name: Springer, Berlin, Heidelberg
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